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International Journal of Management, IT & Engineering

CONTENTS
Sr.
No.

TITLE & NAME OF THE AUTHOR (S)

Page No.

The Strategy of De-Internationalization of the SMES of the Footwear in The Area

1

Metropolitana De Gudalajara.

1-25

Dr. José G. Vargas-Hernández and Paola N. Velazquez-Razo
Evaluating the Effectiveness of Educational Institutions Using Frontier Analysis.

2

Dr. Vijaya Mani and Ms. Vani Haridasan

26-43

A Study on MBC Algorithm With Goodness Function.

3

P. Usha Madhuri and Dr.S.P. Rajagopalan

44-56

A study on investor’s perception towards investment decision in equity market

4

P.Varadharajan and Dr.P Vikkraman

57-81

Employee Retention: Love them or loose them

5

Mr. Omesh Chadha

82-109

Burgeoning confronts in Indian Banking

6

Ms. Ritu Wadhwa

110-123

An Efficient Centroid Selection Algorithm for K-means Clustering

7

Saranya and Dr.Punithavalli

124-140

Analysis, Simulation and Comparison of Different Multiplier Algorithms

8

Smiksha, Vikas Sindhu and Rajender Kumar

141-156
August
2011

IJMIE

Volume 1, Issue 3

ISSN: 2249-0558

__________________________________________________________

Chief Patron
Dr. JOSE G. VARGAS-HERNANDEZ
Member of the National System of Researchers, Mexico
Research professor at University Center of Economic and Managerial Sciences,
University of Guadalajara
Director of Mass Media at Ayuntamiento de Cd. Guzman
Ex. director of Centro de Capacitacion y Adiestramiento

Editorial Board
Dr. CRAIG E. REESE
Professor, School of Business, St. Thomas University, Miami Gardens

Dr. S. N. TAKALIKAR
Principal, St. Johns Institute of Engineering, PALGHAR (M.S.)

Dr. RAMPRATAP SINGH
Professor, Bangalore Institute of International Management, KARNATAKA

Dr. P. MALYADRI
Principal, Government Degree College, Osmania University, TANDUR

Dr. Y. LOKESWARA CHOUDARY
Asst. Professor Cum, SRM B-School, SRM University, CHENNAI

Prof. Dr. TEKI SURAYYA
Professor, Adikavi Nannaya University, ANDHRA PRADESH, INDIA

Dr. T. DULABABU
Principal, The Oxford College of Business Management,BANGALORE

Dr. A. ARUL LAWRENCE SELVAKUMAR
Professor, Adhiparasakthi Engineering College, MELMARAVATHUR, TN

Dr. S. D. SURYAWANSHI
Lecturer, College of Engineering Pune, SHIVAJINAGAR
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2011

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Dr. S. KALIYAMOORTHY
Professor & Director, Alagappa Institute of Management, KARAIKUDI

Prof S. R. BADRINARAYAN
Sinhgad Institute for Management & Computer Applications, PUNE

Mr. GURSEL ILIPINAR
ESADE Business School, Department of Marketing, SPAIN

Mr. ZEESHAN AHMED
Software Research Eng, Department of Bioinformatics, GERMANY

Mr. SANJAY ASATI
Dept of ME, M. Patel Institute of Engg. & Tech., GONDIA(M.S.)

Mr. G. Y. KUDALE
N.M.D. College of Management and Research, GONDIA(M.S.)

Editorial Advisory Board
Dr.MANJIT DAS
Assitant Professor, Deptt. of Economics, M.C.College, ASSAM

Dr. ROLI PRADHAN
Maulana Azad National Institute of Technology, BHOPAL

Dr. N. KAVITHA
Assistant Professor, Department of Management, Mekelle University, ETHIOPIA

Prof C. M. MARAN
Assistant Professor (Senior), VIT Business School, TAMIL NADU

DR. RAJIV KHOSLA
Associate Professor and Head, Chandigarh Business School, MOHALI

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2011

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Dr. S. K. SINGH
Asst. Professor, R. D. Foundation Group of Institutions, MODINAGAR

Dr. (Mrs.) MANISHA N. PALIWAL
Associate Professor, Sinhgad Institute of Management, PUNE

DR. (Mrs.) ARCHANA ARJUN GHATULE
Director, SPSPM, SKN Sinhgad Business School, MAHARASHTRA

DR. NEELAM RANI DHANDA
Associate Professor, Department of Commerce, kuk, HARYANA

Dr. FARAH NAAZ GAURI
Associate Professor, Department of Commerce, Dr. Babasaheb Ambedkar Marathwada
University, AURANGABAD

Prof. Dr. BADAR ALAM IQBAL
Associate Professor, Department of Commerce,Aligarh Muslim University, UP

Associate Editors
Dr. SANJAY J. BHAYANI
Associate Professor ,Department of Business Management,RAJKOT (INDIA)

MOID UDDIN AHMAD
Assistant Professor, Jaipuria Institute of Management, NOIDA

Dr. SUNEEL ARORA
Assistant Professor, G D Goenka World Institute, Lancaster University, NEW DELHI

Mr. P. PRABHU
Assistant Professor, Alagappa University, KARAIKUDI

Mr. MANISH KUMAR
Assistant Professor, DBIT, Deptt. Of MBA, DEHRADUN

Mrs. BABITA VERMA
Assistant Professor ,Bhilai Institute Of Technology, INDORE

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2011

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Ms. MONIKA BHATNAGAR
Assistant Professor, Technocrat Institute of Technology, BHOPAL

Ms. SUPRIYA RAHEJA
Assistant Professor, CSE Department of ITM University, GURGAON

Reviewers
Dr. B. CHANDRA MOHAN PATNAIK
Associate Professor, KSOM, KIIT University, BHUBANESWAR

Dr. P. S. NAGARAJAN
Assistant Professor, Alagappa Institute of Management, KARAIKUDI

Mr. K. V. L. N. ACHARYULU
Faculty, Dept. of Mathematics, Bapatla Engineering College, Bapatla, AP

Ms. MEENAKSHI AZAD
Assistant Professor, Master of Business Administration, GREATER NOIDA

Dr. MOHD NAZRI ISMAIL
Senior Lecturer, University of Kuala Lumpur (UniKL), MALAYSIA

Dr. O. P. RISHI
Associate Professor, CSE , Central University of RAJASTHAN

Ms. SWARANJEET ARORA
ASSISTANT PROFESSOR , PIMR, INDORE

Mr. RUPA.Ch
Associate Professor, CSE Department, VVIT, NAMBUR, ANDHRA PRADESH

Dr. S. RAJARAM
Assistant Professor, Kalasalingam University, Virudhunagar District, TAMIL NADU

Dr. A. JUSTIN DIRAVIAM
Assistant Professor, CSE, Sardar Raja College of Engineering, TAMIL NADU

Ms. SUPRIYA RAHEJA
Assistant Professor, CSE Department, ITM University, GURGAON
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2011

IJMIE

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Volume 1, Issue 3

__________________________________________________________

Title

Evaluating the Effectiveness of
Educational Institutions Using
Frontier Analysis

Author(s)

Dr. Vijaya Mani

Ms. Vani Haridasan

Professor,

Assistant Professor,

SSN School of Management and

SSN School of Management and

Computer Applications

Computer Applications

SSN College of Engineering,

SSN College of Engineering,

Kalavakkam, Old Mahabalipuram

Kalavakkam, Old Mahabalipuram

Road

Road

Tamil Nadu

Tamil Nadu

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Abstract:
The higher education system has been experimenting with management approaches to deal with
challenges arising from both internal as well as external factors. In this context, it is absolutely
essential to assess the quality of education offered by an educational institution with specific
reference to the reliability of how and when the learning takes place. There are lots of
quantitative techniques available and some work in this area has been already done. But there is
a dearth of literature focusing on the relative efficiency. One advanced operations research
technique which evaluates the relative efficiency is the Frontier Analysis or Data Envelopment
Analysis (DEA).
This paper attempts to use Frontier Analysis to assess the effectiveness of educational
institutions, specifically a set of selected institutions offering engineering education in Tamil
Nadu, India. The research has identified a set of input and output parameters for each institution,
from which the efficient frontiers (DMUs) are determined. The relative efficiency of the
institutions are measured with respect to the efficient frontier and then analyzed. Detailed
recommendations are set forth, for appropriate interventions to address the specific gaps
identified through the gaps analysis. The analysis further provides useful information and opens
up new avenues for future research.
Keywords: Data Envelopment Analysis, Effectiveness, Education, Relative efficiency, Frontier
Analysis, DMU

Introduction:
Education System plays a pivotal role for socio-economic development in any country since it
deals with knowledge development and dissemination, technology transfer, education and
collaborative works with industries. The demand and opportunities in education has resulted in
an overwhelming increase in number of educational technical institutes especially in the
developing countries like India. The technical institutes in India are currently facing a stiff
competition because of opening of the off-shore campus of foreign universities. Highly
competitive environment makes quality as a key variable for attracting primary customers
(students).
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The conventional method adopted for assessing these institutes seems to be inadequate as it is
based on summation of scores assigned to a limited number of factors like infrastructure, number
of students recruited by the recruiting firms, management styles, etc. One of the major
drawbacks of the conventional method is that it assigns equal weight age to all pertinent factors
and is inadequate to reflect the true picture on the quality of education being imparted by an
institution. For example, an institution having high score in ‘quality infrastructure’ and low score
in ‘quality faculty’ may have the same overall quality with an institution having low score in
‘quality infrastructure’ and high score in the ‘quality faculty’. Intuitionally, the later case should
be treated as an efficient institution because profile of faculty plays a dominating role for
imparting quality education in comparison to the adequacy of infrastructure. Further, ranking of
institutions widely differ depending on sample size and criteria considered by them.
Usually, technical institutions exhibit highly process oriented and a multi- stakeholder
situation leading to a difficulty in aggregating the functional variables (inputs and outputs) for
the evaluation of education quality. Therefore, it is desirable to use a tool that is capable of
relating customers’ perception (input) to the desired performance (output) of the education
system so that strategic decision-making can be made easier.
Frontier Analysis is a mathematical programming technique with a number of practical
applications for measuring the performance of a set of similar units. In principle, Frontier
Analysis is concerned with a number of alternative decision making units (DMU). Each of them
is analyzed separately via a mathematical programming model which checks whether the DMU
under consideration could improve its performance by decreasing its input and increasing its
output. The improvement is pursued until the boundary of the convex hull of the other DMUs is
reached. A DMU which cannot improve its performance is efficient or non-dominated.
Otherwise, it is dominated by a convex combination of other DMUs. Thus, possible
improvements for a particular DMU are indicated, not in an arbitrary direction, but on the basis
of the performance of the more successful and efficient DMUs.
It is one such technique that aggregates the input and output components in order to obtain an
overall performance measure through comparison of a group of decision units. It evaluates
performance of Decision-Making Units (DMUs) by finding out the relative efficiency of the
units under consideration. The DMUs can be business units (points of sales, bank branches,
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dealers, franchisees, etc.), government agencies, police departments, hospitals, educational
institutions and even human beings on assessment of athletic, sales and student performance, etc.
The major advantages of DEA may be listed as:
o

it can handle multiple input and multiple output models

o

it does not require the functional relationship between inputs and outputs

o

it identifies the possible peers as the role models (benchmarks)

o

it determines the possible sources of inefficiency

o

it is independent of units of measurement of various parameters.

In this study, an attempt has been made to assess the efficiency of the institutions using various
quality dimensions of education through application of DEA. This study seeks to measure the
relative efficiency of 20 educational institutions in Tamil Nadu, India.

Literature Review:
Identification of inputs and outputs in a service sector is really a challenging task as they are not
well defined. In this context, Mahapatra and Khan (2007) have suggested a methodology to find
out the factors responsible for quality improvement in education sector via neural network
approach [12]. Elangovan et al. (2007) have used an Executive Support System (ESS) approach
for improving the quality and productivity in maintenance engineering model [8]. However,
DEA approach enables the management to frame right kind of policy for improvement of quality
through identification of inefficiencies in certain dimensions in an organisation, both in
manufacturing and service industries (Anatiliy, 2007; Parkan, 2006). Pacheco and Fernandes
(2003) analysed efficiency of 35 Brazilian domestic airports using DEA and suggested the best
quality implementation strategy [2]. Lin et al. (2005) determined the efficiency for a shipping
industry using financial indicators through DEA so that Quality Improvement Programme (QIP)
can be implemented[10]. Recent studies reveal that DEA has been successfully applied to
education sector but each study differs in its scope, meaning and definition. [1] In one such
study, the policy for Italian universities has been derived based on computation of Technical
Efficiency (TE) using DEA with various input and output specifications (Agasisti and Bianco,
2006). A comparative study on efficiency of private universities and public universities in the
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USA using DEA has been carried out by Rhodes and Southwick (1986) considering each
individual university as a DMU[18]. Tomkins and Green (1988) have used DEA to test the
performance of individual departments of a university considering both teaching and research
activities and compared the results with the ranking obtained by means of elemental analysis of
staff/student ratio[19]. McMullen (1997) applied DEA in order to assess the relative desirability
of Association to Advance Collegiate Schools of Business (AACSB) accredited MBA
programmes [12]. McMillan and Datta (1998) used DEA to assess the relative efficiency of 45
Canadian universities and found that a subset of universities comprising of three categories such
as comprehensive with medical school, comprehensive without medical school and primarily
undergraduate universities are regularly found to be efficient. In an attempt to compare the
performance of selected schools in the Netherlands, Ramanathan (2001) studied the effect of
several non- discretionary input variables which are not under direct control of management on
efficiency scores[15]. Calhoun (2003) employed DEA to compare relative efficiencies of private
and public Institutions of Higher Learning (IHL) using a sample of 1323 four-year old
institutions and introduced a new way for clustering institutions based on revenue management.
Data envelopment analysis (DEA), occasionally called frontier analysis, was first put forward by
Charnes, Cooper and Rhodes in 1978[5]. It is a performance measurement technique which, can
be used for evaluating the relative efficiency of decision-making units (DMU's) in organizations.
Examples of such units to which DEA has been applied are: banks, police stations, hospitals, tax
offices, prisons, defense bases (army, navy, air force), schools and university departments. One
advantage of DEA is that it can be applied to non-profit making organizations. Since the
technique was first proposed much theoretical and empirical work has been done. Many studies
have been published dealing with applying DEA in real-world situations. Obviously there are
many more unpublished studies, e.g. done internally by companies or by external consultants.
Data envelopment analysis (DEA), occasionally called frontier analysis is a performance
measurement technique which can be used for evaluating the relative efficiency of decisionmaking units (DMU's) in organizations [17]. A DMU is a distinct unit within an organization that
has flexibility with respect to some of the decisions it makes, but not necessarily has complete
freedom with respect to these decisions.

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Research Methodology:
The paper initially illustrates DEA by taking a sample of 20 Engineering Colleges in Tamil
Nadu, India using a graphical (pictorial) approach to DEA. This is very useful when attempting
to explain DEA to those in the management area. There is a mathematical approach to DEA that
can be adopted which is illustrated using Linear Programming technique. Our analysis uses 2
output measures, namely pass percentage of students and students placed and 2 input measures
namely, intake of students and faculty in the various Engineering Colleges.
From the Table 1, it can be inferred that, for the college C 4 in one year, there were 142
faculty, 4246 students admitted out of which 3116 students passed and 2555 students got placed.
(Table 1)
To compare these colleges and measure their performance a commonly used method is ratios
which takes output measure and divides it by the corresponding input measure. In this case, we
analyze the effectiveness of colleges by taking inputs and converting them (with varying degrees
of efficiency) into outputs. Hence there are two ratios.( Table 2 )
From the Table 2, eff11 is the ratio of Students passed / faculty, eff12 is the ratio of students
placed / faculty and so on. This is usually the efficiency parameter on the students pass
percentage w r t faculty and the placement status w r t faculty. Since we have multiple inputs and
outputs ( 2 each in our case), it is very difficult to conclude on the efficiency of the colleges
using ratios.
One problem with comparison using ratios is that different ratios can give a different picture
and it is difficult to combine the entire set of ratios into a single numeric judgment. For instance,
when we consider C2 and C4; C2 is (83 / 73) = 1.13 times only as efficient as C4 at the pass
percentage of students but (75 / 60) = 1.25 times as efficient at the percentage of students placed.
To combine these figures into a single judgment is very difficult. This problem of different ratios
giving different pictures would be especially true if there is an increase the number of colleges
(and/or increase the number of input/output measures).
Thus it is very difficult to interpret the values corresponding to college C 5 from these ratios.
This is where it is essential to get into a better technique called Frontier Analysis or Data
Envelopment Analysis which interprets the ratios and provides the efficient frontier.
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Results and Discussion:
One method of interpreting different ratios, at least for problems involving just two outputs and a
single input, is a simple graphical analysis. This involves a plot of the two ratios for each college
as shown in figure 1.
The first figure gives the position of efficiency with respect to faculty and the second figure
gives the efficiency with respect to Student intake. From the figure it was observed that a clear
efficient frontier cannot be determined using graphical analysis, as it gives only a partial picture
of the effectiveness of the colleges. It is important to note that DEA can only give relative
efficiencies - efficiencies relative to the data considered. It does not, and cannot give absolute
efficiencies.
In words, DEA while evaluating any number of Decision making units (DMU's), and with
any number of inputs and outputs requires the inputs and outputs for each DMU to be specified.
It defines efficiency for each DMU as a weighted sum of outputs [total output] divided by a
weighted sum of inputs [total input]; where all efficiencies are restricted to lie between zero and
one (i.e. between 0% and 100%). It uses the numerical value for calculating the efficiency of a
particular DMU. Weights are chosen to maximise its efficiency, thereby presenting the DMU in
the best possible light.
To calculate the efficiency of the other colleges the only step is to change what is to be
maximized (e.g. maximize EC 5 to calculate the efficiency of C 5). This is exactly the association
of non-negative weights with each input and output measure. As the optimization problem is a
nonlinear problem and hence difficult to solve numerically, it can be converted into a linear
programming problem by algebraically substituting for all efficiency variables in order to give an
optimization problem expressed purely in terms of weights by introducing an additional
constraint and setting the denominator of the objective function equal to one (technically this can
be done as the above nonlinear problem has one degree of freedom - multiplying all the weights
by a (positive) scale factor would leave the solution value unchanged)
Once the LP has been solved to generate optimal values for the weights then the efficiency of
the college being optimized optimizing for, C 2 in this case, can be easily calculated using E C
2=((2024Wpass

+ 1836Wplaced)/(2444Wintake). Here that the numerator of (2024Wpass +

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1836Wplaced)/(2444Wintake) is known as the weighted output for C 2 and the denominator is know
as the weighted input for C 2
This can be extended for all the other institutions to determine the respective efficiencies.
The entire formulated linear programming problem can be solved using Solver. The Solver
screenshot for this analysis is given at the end of the article.
From the Solver screenshot , it was observed that the efficiency of the different colleges are
given in highlighted column . It shows that C 1, C 3, C13 and C 16 have 1.00 as the efficiency
value and the other colleges are less than 1.00. The relative efficiency can be further analyzed to
improve the performance.

Conclusion:
This paper set out as a contribution to current educational systems for assessing the effectiveness
of educational institutions. A sample of 20 institutions in Tamil Nadu, India were analyzed for
effectiveness using Data Envelopment Analysis(DEA)/Frontier analysis. The efficient frontier
were identified and the relative efficiency of the colleges were established using graphical
analysis initially and then the case was formulated as an Linear Programming Problem which
was solved using Solver. As this research is confined only to two inputs measure and two output
measures, it cannot be generalized unless it is extended to more inputs and output measures. This
study provides scope for further research using multiple input and output measures to assess the
effectiveness of educational institutions in the service sector and other industrial sectors.

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Tomkins, C.Y. and Green, R. (1988) ‘An experiment in the use of data envelopment analysis
of evaluating the efficiency of UK university departments of accounting’, Financial
Accountability and Management, Vol. 4, No. 2, pp.147–164.

Table 1 Details pertaining to Selected Sample of Colleges
Colleges Faculty

Students

Students

Intake

Passed

Placed

Input 1
C1

Student

Input 2

Output 1

Output 2

100

2477

2168

1754

A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories
Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A.

International Journal of Management, IT and Engineering
http://www.ijmra.us
40
August
2011

IJMIE

Volume 1, Issue 3

ISSN: 2249-0558

__________________________________________________________
C2

95

2444

2024

1836

C3

90

2870

2243

2131

C4

142

4246

3116

2555

C5

120

2578

1779

1686

C6

110

1958

1336

466

C7

60

1291

1086

1053

C8

75

2019

894

586

C9

73

1105

477

353

C 10

120

3162

2689

2003

C 11

140

2060

1580

1000

C12

80

1200

1062

900

C13

110

2010

1960

1800

C14

125

2300

2120

1935

C15

140

2620

2500

2010

C16

115

2200

2100

2000

C17

90

1700

1620

1510

C18

85

1800

1650

1400

C19

135

2050

1950

1875

C20

105

1995

1850

1745

A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories
Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A.

International Journal of Management, IT and Engineering
http://www.ijmra.us
41
August
2011

IJMIE

ISSN: 2249-0558

Volume 1, Issue 3

__________________________________________________________
Table 2 Ratios for efficiency
Colleges Faculty

Student

Students Passed

Intake
Input 1

Input 2

Students
Placed

Output 1

Output 2

Eff

Eff

Eff

Eff

11

21

12

22

C1

100

2477

2168

1754

22

18

0.9

0.7

C2

95

2444

2024

1836

21

19

0.8

0.8

C3

90

2870

2243

2131

25

24

0.8

0.7

C4

142

4246

3116

2555

22

18

0.7

0.6

C5

120

2578

1779

1686

15

14

0.7

0.7

C6

110

1958

1336

466

12

4

0.7

0.2

C7

60

1291

1086

1053

18

18

0.8

0.8

C8

75

2019

894

586

12

8

0.4

0.3

C9

73

1105

477

353

7

5

0.4

0.3

C 10

120

3162

2689

2003

22

17

0.9

0.6

C 11

140

2060

1580

1000

11

7

0.8

0.5

C 12

80

1200

1062

900

13

11

0.9

0.8

C 13

110

2010

1960

1800

18

16

1.0

0.9

C 14

125

2300

2120

1935

17

15

0.9

0.8

C 15

140

2620

2500

2010

18

14

1.0

0.8

A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories
Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A.

International Journal of Management, IT and Engineering
http://www.ijmra.us
42
August
2011

IJMIE

ISSN: 2249-0558

Volume 1, Issue 3

__________________________________________________________
C 16

115

2200

2100

2000

18

17

1.0

0.9

C 17

90

1700

1620

1510

18

17

1.0

0.9

C 18

85

1800

1650

1400

19

16

0.9

0.8

C 19

135

2050

1950

1875

14

14

1.0

0.9

C 20

105

1995

1850

1745

18

17

0.9

0.9

Solver screenshot for this analysis is given below:

A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories
Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A.

International Journal of Management, IT and Engineering
http://www.ijmra.us
43

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Ijmra mie241

  • 1. International Journal of Management, IT & Engineering CONTENTS Sr. No. TITLE & NAME OF THE AUTHOR (S) Page No. The Strategy of De-Internationalization of the SMES of the Footwear in The Area 1 Metropolitana De Gudalajara. 1-25 Dr. José G. Vargas-Hernández and Paola N. Velazquez-Razo Evaluating the Effectiveness of Educational Institutions Using Frontier Analysis. 2 Dr. Vijaya Mani and Ms. Vani Haridasan 26-43 A Study on MBC Algorithm With Goodness Function. 3 P. Usha Madhuri and Dr.S.P. Rajagopalan 44-56 A study on investor’s perception towards investment decision in equity market 4 P.Varadharajan and Dr.P Vikkraman 57-81 Employee Retention: Love them or loose them 5 Mr. Omesh Chadha 82-109 Burgeoning confronts in Indian Banking 6 Ms. Ritu Wadhwa 110-123 An Efficient Centroid Selection Algorithm for K-means Clustering 7 Saranya and Dr.Punithavalli 124-140 Analysis, Simulation and Comparison of Different Multiplier Algorithms 8 Smiksha, Vikas Sindhu and Rajender Kumar 141-156
  • 2. August 2011 IJMIE Volume 1, Issue 3 ISSN: 2249-0558 __________________________________________________________ Chief Patron Dr. JOSE G. VARGAS-HERNANDEZ Member of the National System of Researchers, Mexico Research professor at University Center of Economic and Managerial Sciences, University of Guadalajara Director of Mass Media at Ayuntamiento de Cd. Guzman Ex. director of Centro de Capacitacion y Adiestramiento Editorial Board Dr. CRAIG E. REESE Professor, School of Business, St. Thomas University, Miami Gardens Dr. S. N. TAKALIKAR Principal, St. Johns Institute of Engineering, PALGHAR (M.S.) Dr. RAMPRATAP SINGH Professor, Bangalore Institute of International Management, KARNATAKA Dr. P. MALYADRI Principal, Government Degree College, Osmania University, TANDUR Dr. Y. LOKESWARA CHOUDARY Asst. Professor Cum, SRM B-School, SRM University, CHENNAI Prof. Dr. TEKI SURAYYA Professor, Adikavi Nannaya University, ANDHRA PRADESH, INDIA Dr. T. DULABABU Principal, The Oxford College of Business Management,BANGALORE Dr. A. ARUL LAWRENCE SELVAKUMAR Professor, Adhiparasakthi Engineering College, MELMARAVATHUR, TN Dr. S. D. SURYAWANSHI Lecturer, College of Engineering Pune, SHIVAJINAGAR A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 27
  • 3. August 2011 IJMIE Volume 1, Issue 3 ISSN: 2249-0558 __________________________________________________________ Dr. S. KALIYAMOORTHY Professor & Director, Alagappa Institute of Management, KARAIKUDI Prof S. R. BADRINARAYAN Sinhgad Institute for Management & Computer Applications, PUNE Mr. GURSEL ILIPINAR ESADE Business School, Department of Marketing, SPAIN Mr. ZEESHAN AHMED Software Research Eng, Department of Bioinformatics, GERMANY Mr. SANJAY ASATI Dept of ME, M. Patel Institute of Engg. & Tech., GONDIA(M.S.) Mr. G. Y. KUDALE N.M.D. College of Management and Research, GONDIA(M.S.) Editorial Advisory Board Dr.MANJIT DAS Assitant Professor, Deptt. of Economics, M.C.College, ASSAM Dr. ROLI PRADHAN Maulana Azad National Institute of Technology, BHOPAL Dr. N. KAVITHA Assistant Professor, Department of Management, Mekelle University, ETHIOPIA Prof C. M. MARAN Assistant Professor (Senior), VIT Business School, TAMIL NADU DR. RAJIV KHOSLA Associate Professor and Head, Chandigarh Business School, MOHALI A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 28
  • 4. August 2011 IJMIE Volume 1, Issue 3 ISSN: 2249-0558 __________________________________________________________ Dr. S. K. SINGH Asst. Professor, R. D. Foundation Group of Institutions, MODINAGAR Dr. (Mrs.) MANISHA N. PALIWAL Associate Professor, Sinhgad Institute of Management, PUNE DR. (Mrs.) ARCHANA ARJUN GHATULE Director, SPSPM, SKN Sinhgad Business School, MAHARASHTRA DR. NEELAM RANI DHANDA Associate Professor, Department of Commerce, kuk, HARYANA Dr. FARAH NAAZ GAURI Associate Professor, Department of Commerce, Dr. Babasaheb Ambedkar Marathwada University, AURANGABAD Prof. Dr. BADAR ALAM IQBAL Associate Professor, Department of Commerce,Aligarh Muslim University, UP Associate Editors Dr. SANJAY J. BHAYANI Associate Professor ,Department of Business Management,RAJKOT (INDIA) MOID UDDIN AHMAD Assistant Professor, Jaipuria Institute of Management, NOIDA Dr. SUNEEL ARORA Assistant Professor, G D Goenka World Institute, Lancaster University, NEW DELHI Mr. P. PRABHU Assistant Professor, Alagappa University, KARAIKUDI Mr. MANISH KUMAR Assistant Professor, DBIT, Deptt. Of MBA, DEHRADUN Mrs. BABITA VERMA Assistant Professor ,Bhilai Institute Of Technology, INDORE A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 29
  • 5. August 2011 IJMIE Volume 1, Issue 3 ISSN: 2249-0558 __________________________________________________________ Ms. MONIKA BHATNAGAR Assistant Professor, Technocrat Institute of Technology, BHOPAL Ms. SUPRIYA RAHEJA Assistant Professor, CSE Department of ITM University, GURGAON Reviewers Dr. B. CHANDRA MOHAN PATNAIK Associate Professor, KSOM, KIIT University, BHUBANESWAR Dr. P. S. NAGARAJAN Assistant Professor, Alagappa Institute of Management, KARAIKUDI Mr. K. V. L. N. ACHARYULU Faculty, Dept. of Mathematics, Bapatla Engineering College, Bapatla, AP Ms. MEENAKSHI AZAD Assistant Professor, Master of Business Administration, GREATER NOIDA Dr. MOHD NAZRI ISMAIL Senior Lecturer, University of Kuala Lumpur (UniKL), MALAYSIA Dr. O. P. RISHI Associate Professor, CSE , Central University of RAJASTHAN Ms. SWARANJEET ARORA ASSISTANT PROFESSOR , PIMR, INDORE Mr. RUPA.Ch Associate Professor, CSE Department, VVIT, NAMBUR, ANDHRA PRADESH Dr. S. RAJARAM Assistant Professor, Kalasalingam University, Virudhunagar District, TAMIL NADU Dr. A. JUSTIN DIRAVIAM Assistant Professor, CSE, Sardar Raja College of Engineering, TAMIL NADU Ms. SUPRIYA RAHEJA Assistant Professor, CSE Department, ITM University, GURGAON A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 30
  • 6. August 2011 IJMIE ISSN: 2249-0558 Volume 1, Issue 3 __________________________________________________________ Title Evaluating the Effectiveness of Educational Institutions Using Frontier Analysis Author(s) Dr. Vijaya Mani Ms. Vani Haridasan Professor, Assistant Professor, SSN School of Management and SSN School of Management and Computer Applications Computer Applications SSN College of Engineering, SSN College of Engineering, Kalavakkam, Old Mahabalipuram Kalavakkam, Old Mahabalipuram Road Road Tamil Nadu Tamil Nadu A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 31
  • 7. August 2011 IJMIE Volume 1, Issue 3 ISSN: 2249-0558 __________________________________________________________ Abstract: The higher education system has been experimenting with management approaches to deal with challenges arising from both internal as well as external factors. In this context, it is absolutely essential to assess the quality of education offered by an educational institution with specific reference to the reliability of how and when the learning takes place. There are lots of quantitative techniques available and some work in this area has been already done. But there is a dearth of literature focusing on the relative efficiency. One advanced operations research technique which evaluates the relative efficiency is the Frontier Analysis or Data Envelopment Analysis (DEA). This paper attempts to use Frontier Analysis to assess the effectiveness of educational institutions, specifically a set of selected institutions offering engineering education in Tamil Nadu, India. The research has identified a set of input and output parameters for each institution, from which the efficient frontiers (DMUs) are determined. The relative efficiency of the institutions are measured with respect to the efficient frontier and then analyzed. Detailed recommendations are set forth, for appropriate interventions to address the specific gaps identified through the gaps analysis. The analysis further provides useful information and opens up new avenues for future research. Keywords: Data Envelopment Analysis, Effectiveness, Education, Relative efficiency, Frontier Analysis, DMU Introduction: Education System plays a pivotal role for socio-economic development in any country since it deals with knowledge development and dissemination, technology transfer, education and collaborative works with industries. The demand and opportunities in education has resulted in an overwhelming increase in number of educational technical institutes especially in the developing countries like India. The technical institutes in India are currently facing a stiff competition because of opening of the off-shore campus of foreign universities. Highly competitive environment makes quality as a key variable for attracting primary customers (students). A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 32
  • 8. August 2011 IJMIE Volume 1, Issue 3 ISSN: 2249-0558 __________________________________________________________ The conventional method adopted for assessing these institutes seems to be inadequate as it is based on summation of scores assigned to a limited number of factors like infrastructure, number of students recruited by the recruiting firms, management styles, etc. One of the major drawbacks of the conventional method is that it assigns equal weight age to all pertinent factors and is inadequate to reflect the true picture on the quality of education being imparted by an institution. For example, an institution having high score in ‘quality infrastructure’ and low score in ‘quality faculty’ may have the same overall quality with an institution having low score in ‘quality infrastructure’ and high score in the ‘quality faculty’. Intuitionally, the later case should be treated as an efficient institution because profile of faculty plays a dominating role for imparting quality education in comparison to the adequacy of infrastructure. Further, ranking of institutions widely differ depending on sample size and criteria considered by them. Usually, technical institutions exhibit highly process oriented and a multi- stakeholder situation leading to a difficulty in aggregating the functional variables (inputs and outputs) for the evaluation of education quality. Therefore, it is desirable to use a tool that is capable of relating customers’ perception (input) to the desired performance (output) of the education system so that strategic decision-making can be made easier. Frontier Analysis is a mathematical programming technique with a number of practical applications for measuring the performance of a set of similar units. In principle, Frontier Analysis is concerned with a number of alternative decision making units (DMU). Each of them is analyzed separately via a mathematical programming model which checks whether the DMU under consideration could improve its performance by decreasing its input and increasing its output. The improvement is pursued until the boundary of the convex hull of the other DMUs is reached. A DMU which cannot improve its performance is efficient or non-dominated. Otherwise, it is dominated by a convex combination of other DMUs. Thus, possible improvements for a particular DMU are indicated, not in an arbitrary direction, but on the basis of the performance of the more successful and efficient DMUs. It is one such technique that aggregates the input and output components in order to obtain an overall performance measure through comparison of a group of decision units. It evaluates performance of Decision-Making Units (DMUs) by finding out the relative efficiency of the units under consideration. The DMUs can be business units (points of sales, bank branches, A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 33
  • 9. August 2011 IJMIE Volume 1, Issue 3 ISSN: 2249-0558 __________________________________________________________ dealers, franchisees, etc.), government agencies, police departments, hospitals, educational institutions and even human beings on assessment of athletic, sales and student performance, etc. The major advantages of DEA may be listed as: o it can handle multiple input and multiple output models o it does not require the functional relationship between inputs and outputs o it identifies the possible peers as the role models (benchmarks) o it determines the possible sources of inefficiency o it is independent of units of measurement of various parameters. In this study, an attempt has been made to assess the efficiency of the institutions using various quality dimensions of education through application of DEA. This study seeks to measure the relative efficiency of 20 educational institutions in Tamil Nadu, India. Literature Review: Identification of inputs and outputs in a service sector is really a challenging task as they are not well defined. In this context, Mahapatra and Khan (2007) have suggested a methodology to find out the factors responsible for quality improvement in education sector via neural network approach [12]. Elangovan et al. (2007) have used an Executive Support System (ESS) approach for improving the quality and productivity in maintenance engineering model [8]. However, DEA approach enables the management to frame right kind of policy for improvement of quality through identification of inefficiencies in certain dimensions in an organisation, both in manufacturing and service industries (Anatiliy, 2007; Parkan, 2006). Pacheco and Fernandes (2003) analysed efficiency of 35 Brazilian domestic airports using DEA and suggested the best quality implementation strategy [2]. Lin et al. (2005) determined the efficiency for a shipping industry using financial indicators through DEA so that Quality Improvement Programme (QIP) can be implemented[10]. Recent studies reveal that DEA has been successfully applied to education sector but each study differs in its scope, meaning and definition. [1] In one such study, the policy for Italian universities has been derived based on computation of Technical Efficiency (TE) using DEA with various input and output specifications (Agasisti and Bianco, 2006). A comparative study on efficiency of private universities and public universities in the A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 34
  • 10. August 2011 IJMIE Volume 1, Issue 3 ISSN: 2249-0558 __________________________________________________________ USA using DEA has been carried out by Rhodes and Southwick (1986) considering each individual university as a DMU[18]. Tomkins and Green (1988) have used DEA to test the performance of individual departments of a university considering both teaching and research activities and compared the results with the ranking obtained by means of elemental analysis of staff/student ratio[19]. McMullen (1997) applied DEA in order to assess the relative desirability of Association to Advance Collegiate Schools of Business (AACSB) accredited MBA programmes [12]. McMillan and Datta (1998) used DEA to assess the relative efficiency of 45 Canadian universities and found that a subset of universities comprising of three categories such as comprehensive with medical school, comprehensive without medical school and primarily undergraduate universities are regularly found to be efficient. In an attempt to compare the performance of selected schools in the Netherlands, Ramanathan (2001) studied the effect of several non- discretionary input variables which are not under direct control of management on efficiency scores[15]. Calhoun (2003) employed DEA to compare relative efficiencies of private and public Institutions of Higher Learning (IHL) using a sample of 1323 four-year old institutions and introduced a new way for clustering institutions based on revenue management. Data envelopment analysis (DEA), occasionally called frontier analysis, was first put forward by Charnes, Cooper and Rhodes in 1978[5]. It is a performance measurement technique which, can be used for evaluating the relative efficiency of decision-making units (DMU's) in organizations. Examples of such units to which DEA has been applied are: banks, police stations, hospitals, tax offices, prisons, defense bases (army, navy, air force), schools and university departments. One advantage of DEA is that it can be applied to non-profit making organizations. Since the technique was first proposed much theoretical and empirical work has been done. Many studies have been published dealing with applying DEA in real-world situations. Obviously there are many more unpublished studies, e.g. done internally by companies or by external consultants. Data envelopment analysis (DEA), occasionally called frontier analysis is a performance measurement technique which can be used for evaluating the relative efficiency of decisionmaking units (DMU's) in organizations [17]. A DMU is a distinct unit within an organization that has flexibility with respect to some of the decisions it makes, but not necessarily has complete freedom with respect to these decisions. A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 35
  • 11. August 2011 IJMIE Volume 1, Issue 3 ISSN: 2249-0558 __________________________________________________________ Research Methodology: The paper initially illustrates DEA by taking a sample of 20 Engineering Colleges in Tamil Nadu, India using a graphical (pictorial) approach to DEA. This is very useful when attempting to explain DEA to those in the management area. There is a mathematical approach to DEA that can be adopted which is illustrated using Linear Programming technique. Our analysis uses 2 output measures, namely pass percentage of students and students placed and 2 input measures namely, intake of students and faculty in the various Engineering Colleges. From the Table 1, it can be inferred that, for the college C 4 in one year, there were 142 faculty, 4246 students admitted out of which 3116 students passed and 2555 students got placed. (Table 1) To compare these colleges and measure their performance a commonly used method is ratios which takes output measure and divides it by the corresponding input measure. In this case, we analyze the effectiveness of colleges by taking inputs and converting them (with varying degrees of efficiency) into outputs. Hence there are two ratios.( Table 2 ) From the Table 2, eff11 is the ratio of Students passed / faculty, eff12 is the ratio of students placed / faculty and so on. This is usually the efficiency parameter on the students pass percentage w r t faculty and the placement status w r t faculty. Since we have multiple inputs and outputs ( 2 each in our case), it is very difficult to conclude on the efficiency of the colleges using ratios. One problem with comparison using ratios is that different ratios can give a different picture and it is difficult to combine the entire set of ratios into a single numeric judgment. For instance, when we consider C2 and C4; C2 is (83 / 73) = 1.13 times only as efficient as C4 at the pass percentage of students but (75 / 60) = 1.25 times as efficient at the percentage of students placed. To combine these figures into a single judgment is very difficult. This problem of different ratios giving different pictures would be especially true if there is an increase the number of colleges (and/or increase the number of input/output measures). Thus it is very difficult to interpret the values corresponding to college C 5 from these ratios. This is where it is essential to get into a better technique called Frontier Analysis or Data Envelopment Analysis which interprets the ratios and provides the efficient frontier. A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 36
  • 12. August 2011 IJMIE Volume 1, Issue 3 ISSN: 2249-0558 __________________________________________________________ Results and Discussion: One method of interpreting different ratios, at least for problems involving just two outputs and a single input, is a simple graphical analysis. This involves a plot of the two ratios for each college as shown in figure 1. The first figure gives the position of efficiency with respect to faculty and the second figure gives the efficiency with respect to Student intake. From the figure it was observed that a clear efficient frontier cannot be determined using graphical analysis, as it gives only a partial picture of the effectiveness of the colleges. It is important to note that DEA can only give relative efficiencies - efficiencies relative to the data considered. It does not, and cannot give absolute efficiencies. In words, DEA while evaluating any number of Decision making units (DMU's), and with any number of inputs and outputs requires the inputs and outputs for each DMU to be specified. It defines efficiency for each DMU as a weighted sum of outputs [total output] divided by a weighted sum of inputs [total input]; where all efficiencies are restricted to lie between zero and one (i.e. between 0% and 100%). It uses the numerical value for calculating the efficiency of a particular DMU. Weights are chosen to maximise its efficiency, thereby presenting the DMU in the best possible light. To calculate the efficiency of the other colleges the only step is to change what is to be maximized (e.g. maximize EC 5 to calculate the efficiency of C 5). This is exactly the association of non-negative weights with each input and output measure. As the optimization problem is a nonlinear problem and hence difficult to solve numerically, it can be converted into a linear programming problem by algebraically substituting for all efficiency variables in order to give an optimization problem expressed purely in terms of weights by introducing an additional constraint and setting the denominator of the objective function equal to one (technically this can be done as the above nonlinear problem has one degree of freedom - multiplying all the weights by a (positive) scale factor would leave the solution value unchanged) Once the LP has been solved to generate optimal values for the weights then the efficiency of the college being optimized optimizing for, C 2 in this case, can be easily calculated using E C 2=((2024Wpass + 1836Wplaced)/(2444Wintake). Here that the numerator of (2024Wpass + A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 37
  • 13. August 2011 IJMIE Volume 1, Issue 3 ISSN: 2249-0558 __________________________________________________________ 1836Wplaced)/(2444Wintake) is known as the weighted output for C 2 and the denominator is know as the weighted input for C 2 This can be extended for all the other institutions to determine the respective efficiencies. The entire formulated linear programming problem can be solved using Solver. The Solver screenshot for this analysis is given at the end of the article. From the Solver screenshot , it was observed that the efficiency of the different colleges are given in highlighted column . It shows that C 1, C 3, C13 and C 16 have 1.00 as the efficiency value and the other colleges are less than 1.00. The relative efficiency can be further analyzed to improve the performance. Conclusion: This paper set out as a contribution to current educational systems for assessing the effectiveness of educational institutions. A sample of 20 institutions in Tamil Nadu, India were analyzed for effectiveness using Data Envelopment Analysis(DEA)/Frontier analysis. The efficient frontier were identified and the relative efficiency of the colleges were established using graphical analysis initially and then the case was formulated as an Linear Programming Problem which was solved using Solver. As this research is confined only to two inputs measure and two output measures, it cannot be generalized unless it is extended to more inputs and output measures. This study provides scope for further research using multiple input and output measures to assess the effectiveness of educational institutions in the service sector and other industrial sectors. References: Agasisti, T. and Bianco, A.D. (2006) ‘Data envelopment analysis to the Italian university system:theoretical issues and policy implications’, International Journal of Business PerformanceManagement, Vol. 8, No. 4, pp.344–367. Anatiliy, G.G. (2007) ‘Using the DEA in efficiency management in industry’, International Journal of Productivity and Quality Management, Vol. 2, No. 2, pp.241–262. A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 38
  • 14. August 2011 IJMIE Volume 1, Issue 3 ISSN: 2249-0558 __________________________________________________________ Bain, L.J. and Engelhardt, M. (1992) Introduction to Probability and Mathematical Statistics,2nd edition, Belmont, California: Duxbury Press. Banker, R.D., Charnes, A. and Cooper, W.W. (1984), ‘Some models for estimating technical and scale inefficiencies in data envelopment analysis’, Management Science, Vol. 30, No. 9, pp.1078-1092. Calhoun, J. (2003) ‘Relative efficiencies of institutions of higher learning’, 14 October, University of Georgia, Available at: www.arches.uga.edu/calhounj/personal/deadisag g.pdf. Charnes A., Cooper W.W. and Rhodes, E. (1978) ‘Measuring the efficiency of decision making units’, European Journal of Operations Research, Vol. 2, No. 6, pp.429–444. Charnes, A., Cooper W.W., Lewin, A.Y. and Seiford, L.M. (1994) Data Envelopment Analysis, Dordrecht, Kluwer. Cooper, W.W., Seiford, L.M. and Tone, K. (2000) Data envelopment Analysis, Boston: Kluwer. Elangovan, K., Selladurai, V., Devadasa, S.R., Goyal, S.K. and Muthu, S. (2007) ‘Quality and productivity improvement of executive decisions in maintenance engineering: an essbased approach’, International Journal of Productivity and Quality Management, Vol. 2, No. 1, pp.112–139. Lee, D. (2004) ‘Competing models of effectiveness in research centers and institutes in the Florida state university system: a data envelopment analysis’, PhD Summer Semester Lin, W.C., Liu, C.F. and Chu, C.W. (2005) ‘Performance efficiency evaluation of the Taiwan’s shipping industry: an application of data envelopment analysis’, Proceedings of the Eastern Asia Society for Transportation Studies, Vol. 5, pp.467–476. Mahapatra S.S. and Khan, M.S. (2007) ‘A neural network approach for assessment quality in technical education: an empirical study’, International Journal of Productivity an Quality Management, Vol. 2, No. 3, pp.287–306. Mahapatra, S.S. and Khan, M.S. (2006) ‘Neural approach for service quality assessment: a case study’, Industrial Engineering Journal, Vol. 35, No. 7, pp.30–35. M.S. Khan, S.S Mahapatra, Service quality evaluation of technical institutions using data envelopment analysis, International Journal of Productivity and Quality Management, Vol 3, No. 1, 2008. Mcmillan, L.M. and Datta, D. (1998) ‘The relative efficiencies of Canadian universities: a DEA perspective’, Canadian Public Policy-Analyse De Politiques, Vol. 24, No. 4, pp.485– A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 39
  • 15. August 2011 IJMIE ISSN: 2249-0558 Volume 1, Issue 3 __________________________________________________________ 511. McMullen, P.R. (1997) ‘Assessment of MBA programs via data envelopment analysis’, Journal of Business and Management, Vol. 5, No. 1, pp.77–91. Pacheco, R.R. and Fernandes, E. (2003) ‘Managerial efficiency of Brazilian airports’, Transport Research, Vol. 37, Part A, pp.667–680. Pires Goncalves, Management Quality Measurement: Using Data Envelopment Analysis (DEA) Estimation Approach for Banks in Brazil, Munich Personal RePEc Archive Paper No. 11143, October 2008. Ramanathan, R. (2001) ‘A data envelopment analysis of comparative performance of schools in the Netherlands’, Opsearch, Vol. 8, No. 2, pp.160–181. Reeti Agarwal, Ankit Mehrotra, Developing Gobal effectiveness by assessing organized retail productivity using data envelopment analysis, International Journal of Business and Applied Management, Volume 4, Issue 2, 2009. R.D Banker, A. Charnes, W.W Cooper, Some models for estimating technical and scale inefficiencies in data envelopment analysis, Management Science, Vol.30, September 1984. Rhodes, E.Y. and Southwick, L. (1986) Determinants of Efficiency in Public and PrivateUniversities, Department of Economics, University of South Carolina. Tomkins, C.Y. and Green, R. (1988) ‘An experiment in the use of data envelopment analysis of evaluating the efficiency of UK university departments of accounting’, Financial Accountability and Management, Vol. 4, No. 2, pp.147–164. Table 1 Details pertaining to Selected Sample of Colleges Colleges Faculty Students Students Intake Passed Placed Input 1 C1 Student Input 2 Output 1 Output 2 100 2477 2168 1754 A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 40
  • 16. August 2011 IJMIE Volume 1, Issue 3 ISSN: 2249-0558 __________________________________________________________ C2 95 2444 2024 1836 C3 90 2870 2243 2131 C4 142 4246 3116 2555 C5 120 2578 1779 1686 C6 110 1958 1336 466 C7 60 1291 1086 1053 C8 75 2019 894 586 C9 73 1105 477 353 C 10 120 3162 2689 2003 C 11 140 2060 1580 1000 C12 80 1200 1062 900 C13 110 2010 1960 1800 C14 125 2300 2120 1935 C15 140 2620 2500 2010 C16 115 2200 2100 2000 C17 90 1700 1620 1510 C18 85 1800 1650 1400 C19 135 2050 1950 1875 C20 105 1995 1850 1745 A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 41
  • 17. August 2011 IJMIE ISSN: 2249-0558 Volume 1, Issue 3 __________________________________________________________ Table 2 Ratios for efficiency Colleges Faculty Student Students Passed Intake Input 1 Input 2 Students Placed Output 1 Output 2 Eff Eff Eff Eff 11 21 12 22 C1 100 2477 2168 1754 22 18 0.9 0.7 C2 95 2444 2024 1836 21 19 0.8 0.8 C3 90 2870 2243 2131 25 24 0.8 0.7 C4 142 4246 3116 2555 22 18 0.7 0.6 C5 120 2578 1779 1686 15 14 0.7 0.7 C6 110 1958 1336 466 12 4 0.7 0.2 C7 60 1291 1086 1053 18 18 0.8 0.8 C8 75 2019 894 586 12 8 0.4 0.3 C9 73 1105 477 353 7 5 0.4 0.3 C 10 120 3162 2689 2003 22 17 0.9 0.6 C 11 140 2060 1580 1000 11 7 0.8 0.5 C 12 80 1200 1062 900 13 11 0.9 0.8 C 13 110 2010 1960 1800 18 16 1.0 0.9 C 14 125 2300 2120 1935 17 15 0.9 0.8 C 15 140 2620 2500 2010 18 14 1.0 0.8 A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 42
  • 18. August 2011 IJMIE ISSN: 2249-0558 Volume 1, Issue 3 __________________________________________________________ C 16 115 2200 2100 2000 18 17 1.0 0.9 C 17 90 1700 1620 1510 18 17 1.0 0.9 C 18 85 1800 1650 1400 19 16 0.9 0.8 C 19 135 2050 1950 1875 14 14 1.0 0.9 C 20 105 1995 1850 1745 18 17 0.9 0.9 Solver screenshot for this analysis is given below: A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 43