This document provides information about getting fully solved assignments from an assignment help service. Students are instructed to send their semester and specialization name to the provided email address or call the given phone number to receive help with their assignments. Mailing is preferred over calling except in emergencies. The document then provides a sample assignment question related to operations research on the topics of linear programming, transportation problem, simulation, integer programming, PERT/CPM, and queuing systems.
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Mb0048 operations research
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ASSIGNMENT
DRIVE SPRING 2016
PROGRAM MBADS/ MBAFLEX/ MBAHCSN3/ MBAN2/ PGDBAN2
SUBJECT CODE & NAME MB0048- OPERATIONS RESEARCH
SEMESTER 2
BK ID B1632
CREDITS 4
MARKS 60
Note: Answer all questions. Kindly note that answers for 10 marks questions should be
approximately of 400 words. Each question is followed by evaluation scheme.
1 Discuss the various stages involved in the methodology of Operations Research. Briefly explain
the techniques and tools of Operations Research.
Answer : The basic dominant characteristic feature of operations research is that it employs
mathematical representationsormodelstoanalyse problems. This distinct approach represents an
adaptation of the scientific methodology used by the physical sciences. The scientific method
translates a given problem into a mathematical
2 a. Explain the steps involved in linear programming problem formulation. Discuss in brief the
advantages of linear programming.
Answer:The procedure formathematical formulation of a linear programming problem consists of
the following major steps:
2. b. Alpha Limited produces & sells two different products under the brand names black & white.
The profit per unit on these products in Rs. 50 & Rs. 40 respectively. Both the products employ the
same manufacturing process which has a fixed total capacity of 50,000 man-hours. As per the
estimates of the marketing research department of Alpha Limited, there is a market demand for
maximum 8,000 units of Black & 10,000 units of white. Subject to the overall demand, the
products can be sold in any possible combination.If it takes 3 hours to produce one unit of black &
2 hours to produce one unit of white, formulate the model of linear programming.
Answer:- A companyhas three operational departments (weaving, processing, and packing) with a
capacityto produce three differenttypesof clothes - suits, shirts, and woollens, yielding a profit of
Rs.2, Rs.4, and Rs.3 per meter respectively. One meter of suiting requires 3 minutes of weaving, 2
minutesof processing,and1minute of packing. Similarly, one meter of shirting requires 4 minutes
of weaving, 1 minute of processing, and 3 minutes of packing. One meter of woollen requires 3
minutes in each department. In a week, total run
3 a. What is degeneracy in transportation problem? How it can be resolved?
Answer:A basic solutiontoanm-origin,ndestinationtransportation problem can have at the most
m+n-1 positive basicvariables(non-zero),otherwise the basic solution degenerates. It follows that
whenever the number of basic cells is less than m + n – 1, the transportation problem is a
degenerate one.
The degeneracy can develop in two ways:
Case 1 - The degeneracydevelopswhile determining an initial assignment via any one of the initial
assignment methods discussed earlier. To resolve degeneracy, you must augment the positive
variablesbyasmany zero-valued variables as is necessary to complete the required m + n – 1 basic
variable. These zero-valued variables are selected in such a manner that the resulting m + n – 1
variable constitutes a basic solution.
3. b. Solve the following transportation problem using Vogel’s approximation method. Factories
Distribution Centres Supply
Answer : Computation/Solution to the problem
Since total demand= 135 = total supply,the problemisbalanced.The initial basicfeasible solutionis
obtained by Vogel’s approximation method.
4 a. Explain the steps inHungarian method.Differentiate betweenTransportation and Assignment
problem.
Answer : Steps in Hungarian method
Hungarian method algorithm is based on the concept of opportunity cost and is more efficient in
solving assignment problems. The following steps are adopted to solve an AP using the Hungarian
method algorithm.
Step1: Prepare rowruledmatrix byselectingthe minimumvalues for each row and subtract it from
the other elements of the row.
b. Find the optimal assignment of four jobs and four machines when the cost of assignment is
given by the following table:
Answer :
5 Define Simulation. Explain the Simulation procedure. Discuss the use of Simulation with an
example.
Answer:Simulationis the imitationof the operationof areal-worldprocessorsystemover time.[1]
The act of simulatingsomethingfirstrequiresthatamodel be developed;thismodel represents the
key characteristics or behaviors/functions of the selected
4. 6 Explain the following:
a. Integer programming model
Answer : Integer programming is concerned with optimization problems in which some of the
variables are required to take on discrete values. Rather than allow a variable to assume all real
valuesina givenrange,onlypredetermineddiscretevalueswithin the range are permitted. In most
cases, these values are the integers giving rise
b. PERT and CPM
Answer : Project management is an important part of every business enterprise. Whenever a new
product or service is launched; when embarking on a marketing campaign; or when organizing any
new projects; project management is needed to make everything organized and successful.
As all projects consume resources such as
c. Operating Characteristics of a Queuing System
Answer : Characteristics of a queuing system that impact its performance, for example, queuing
requirements of a restaurant will depend upon factors like:
How do customers arrive in the restaurant? Are customer arrivals more during lunch and
dinnertime (a regular restaurant)? Or
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
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Call us at : 08263069601
(Prefer mailing. Call in emergency )