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IOSR Journal of Computer Engineering (IOSRJCE)
ISSN: 2278-0661 Volume 4, Issue 4 (Sep-Oct. 2012), PP 06-12
www.iosrjournals.org
www.iosrjournals.org 6 | Page
Evaluation of Uncertain Location
D. J. Sujay1
, Jwalitha2
1
(Department Of Computer Science, Ame, Jntu, and Palwancha, India
2
(Asst Prof in Department Of Computer Science, Ame, Jntu, Palwancha, India
Abstract: In many applications, including location based services, queries may not be precise. In this paper, we
study the problem of efficiently computing range aggregates in a multidimensional space when the query
location is uncertain. We propose novel, efficient techniques to solve the problem following the filtering-and-
verification paradigm.
Keywords: Uncertainty,Range aggregates,filtering-and-verification
I. INTRODUCTION
Query imprecision or uncertainty may be often caused by the nature of many applications, including
location based services. The existing techniques for processing location based spatial queries regarding certain
query points and data points are not applicable or inefficient when uncertain queries are involved. In this paper,
we investigate the problem of efficiently computing distance based range aggregates over certain data points and
uncertain query points as described in the abstract. In general, an uncertain query Q is a multi-dimensional point
that might appear at any location x following a probabilistic density function pdf(x) within a region Q.region.
There is a number of applications where a query point may be uncertain
Motivating Application : A blast warhead carried by a missile may destroy things by blast pressure waves in
its lethal area where the lethal area is typically a circular area centered at the point of explosion (blast point)
with radius γ and γ depends on the explosive used. While firing such a missile, even the most advanced laser-
guided missile cannot exactly hit the aiming point with 100% guarantee. The actual falling point (blast point) of
a missile blast warhead regarding a target point usually follows some probability density functions (PDFs);
different PDFs have been studied in [24] where bivariate normal distribution is the simplest and the most
common one. In military applications, firing such a missile may not only destroy military targets but may also
damage civilian objects. Therefore, it is important to avoid the civilian casualties by estimating the likelihood of
damaging civilian objects once the aiming point of a blast missile is determined. Points {pi} for 1 ≤ i ≤ 7
represent some civilian objects (e.g., residential buildings, public facilities). The actual falling point of the
missile, then objects p1 and p5 will be destroyed. Similarly, objects p2, p3 and p6 will be destroyed if the actual
falling point is q2. In this application, the risk of civilian casualties may be measured by the total number n of
civilian objects which are within γ distance away from a possible blast point with at least θ probability
II. IMPLEMENTATION
The Our techniques are developed based onthe standard filtering-and-verification paradigm. We first
discuss how to apply the existing probabilistically constrained regions (PCR) techniques to our problem.Then,
we propose two novel distance based filtering techniques, statistical filtering (STF) and anchor point filtering
(APF), respectively, to address the inherent limits of the PCR technique To the best of our knowledge, we are
the first to identify the problem of computing range aggregates against uncertain location based query. In this
paper, we investigate the problem regarding both continuous and discrete Q. Our principle contributions can be
summarized as follows.
• We propose two novel filtering techniques, STF and APF, respectively. The STF technique has a decent
filtering power and only requires the storage of very limited pre-computed information. APF provides the
flexibility to significantly enhance the filtering power by demanding more pre-computed information
information to be stored. Both of them can be applied to continuous case and discrete case.
• Extensive experiments are conducted to demonstrate the efficiency of our techniques.
• While we focus on the problem of range counting for uncertain location based queries in the paper, our
techniques can be immediately extended to other range aggregates.
III. PROBLEM DEFINITION
In the paper, S is a set of points in a d-dimensional numerical space. The distance between two points x
and y is denoted by δ(x, y). Note that techniques developed in the paper can be applied to any distance metrics
In the examples and experiments, the Euclidean distance is used. For two rectangular regions r1 and r2, we have
Evaluation of Uncertain Location
www.iosrjournals.org 7 | Page
δmax(r1, r2) = max∀ x∈r1,y∈ r2 δ(x, y) and δmin(r1, r2) = 0 if r1 ∩ r2 _= ∅ min∀ x∈r1,y∈ r2 δ(x, y) otherwise
(1)
An uncertain (location based) query Q may be described by a continuous or a discrete distribution as follows.
Definition 1 (Continuous Distribution). An uncertain query Q is described by a probabilistic density function
Q.pdf Let Q.region represent the _ region where Q might appear, then
x∈ Q.region Q.pdf(x)dx = 1;
Definition 2 (Discrete Distribution). An uncertain query Q consists of a set of instances (points) {q1, q2, . . . ,
qn} in a d dimensional numerical space where qi appears with probability Pqi, and _ q∈ Q Pq = 1;
where Q can have a non-zero probability to be absent;
that is, _x∈ Q.region Q.pdf(x)dx = c or_q∈ Q Pq = c for a c < 1.
For a point p, we use Pfall(Q, p, γ) to represent the probability of Q within γ distance to p, called falling
probability of p regarding Q and γ. It is formally defined below.
For continuous cases,
Pfall(Q, p, γ) =_x∈ Q.region ∧ δ(x,p)≤γ
Q.pdf(x)dx (2)
For discrete cases,
Pfall(Q, p, γ) =_q∈ Q ∧ δ(q,p)≤γ Pq (3)
In the paper hereafter, Pfall(Q, p, γ) is abbreviated to Pfall(p, γ), and Q.region and Q.pdf are abbreviated to Q
and pdf respectively, whenever there is no ambiguity. It is immediate that Pfall(p, γ) is a monotonically
increasing function with respect to distance γ.
Example of Pfall(Q, p, γ)
IV. INDENTATIONS
Filtering-and-Verification Algorithm:
This motivates us to follow the filtering-and-verification paradigm for the uncertain aggregate query
computation. Particularly, in the filtering phase, effective and efficient filtering techniques will be applied to
prune or validate the points. The algorithm consists of two phases. In the filtering phase for each entry e of RS
to be processed, we do not need to further process e if it is pruned or validated by the filter F. We say an entry e
is pruned (validated) if the filter can claim Pfall (p, γ) < θ (Pfall (p, γ) ≥ θ) for any point p within embb. The counter
cn is increased by |e| if e is validated where |e| denotes the aggregate value of e (i.e., the number of data points in
e). Otherwise, the point p associated with e is a candidate point if e corresponds to a data entry and all child
entries of e are put into the queue for further processing if e is an intermediate entry. The filtering phase
terminates when the queue is empty. In the verification phase candidate points are verified by the integral
calculations.
Modules:
Filtering and verification:
When User wants to Search any Civilian Objects like Hotels, Hospitals, Banks, etc., to generate &
verify the database then gave exact details. If, he wants to Advanced Search, to give exact range values, apart
from that civilian objects details to be displayed with Civilian Objects categorized and calculate the distance
details.
Query Processing:
Admin Verify the User Requests and check the user requests is contain in our database or not. If the
database contains the user requests to calculate the Range (Distance) value, and then send Response to the
Appropriate Values, suppose the request doesn’t contain in the database send response is ‘Record Not Found’
that query sent to the particular User.
Response Results:
User Verify the Admin Responses and the user requests is match with database the query produce with
the Correct Results and Download the word file, otherwise not download. If the database contains the user
requests to calculate the Range (Distance) value, suppose the request doesn’t contain in the database received
response is ‘Record Not Found’ but if matching results are retrieved.
Evaluation of Uncertain Location
www.iosrjournals.org 8 | Page
Upload Civilian Objects with Distance:
Admin can upload the Civilian Objects details with Correct Location (area), Address, Phone and
Upload Civilian Objects Profile (.doc) file. If calculate distance in one location to another location so the admin
entry the details for distance and admin can view the User Details also.
V DIAGRAMS
ARCHITECTURE
.DATAFLOW DIAGRAM
Login
Check
ADMINUSER
Exists Exists
yes yes
Create Account
no
Search
Exists
Not Exists
View Location
Details
No Record
Found
End
no
Adanced
Search
Location
Request
Upload Location
Details
Responses
From Admin
Upload
Distance
User
Requests
Not Exists
Exists
View Location &
Distance Details
View Location &
Download Details
Details Sent
To User
Total
Responses
View User
Details
WAP
Exists
Check
Check
Exists
Not Exists
Matching
Results
V. Experiment Results
Fig 1:figure shows the home page
Evaluation of Uncertain Location
www.iosrjournals.org 9 | Page
Fig 2:shows the login page
Fig 3:Show the signup page if the user/admin login for the first time
Fig 4:login page for user/admin
Evaluation of Uncertain Location
www.iosrjournals.org 10 | Page
Fig 5:Shows the upload details for the admin
Fig 6:Shows the upload distance from source to destination
Fig 7:shows the search request for a location
Evaluation of Uncertain Location
www.iosrjournals.org 11 | Page
Fig 8:shows the user search request
Fig 9:shows the location request by user
Fig 10:shows the total responses from admin
Fig 11:shows the response as record not found
Evaluation of Uncertain Location
www.iosrjournals.org 12 | Page
VI. CONCLUSION
In this paper, the problem of uncertain location based range aggregate query in a multidimensional
space; it covers a wide spectrum of applications.To efficiently process such a query, we propose a general
filtering and verification framework and two novel filtering techniques, named STF and APF respectively, such
that the expensive computation and IO cost for verification can be significantly reduced. Our experiments
convincingly demonstrate the effectiveness and efficiency of our techniques.
VII. ACKNOWLEDGEMENTS
The work was supported by ARC Grant (DP0987557, DP0881035 and DP0666428) and Google
Research Award.Yufei Tao was supported by GRF grants 4166/10 and 4169/09 from HKRGC.
REFERENCES
[1] P. K. Agarwal, S.-W. Cheng, Y. Tao, and K. Yi. Indexing uncertain . In Proc. Symp. Principles of Database Systems (PODS), 2009.
[2] C. Aggarwal and P. Yu. On high dimensional indexing of uncertain data. In Proc. Intl Conf. Data Eng. (ICDE), 2008.
[3] C. Bohm, M. Gruber, P. Kunath, A. Pryakhin, and M. Schubert. Prover: Probabilistic video retrieval using the gauss-tree. In Proc.
Intl Conf. Data Eng. (ICDE), 2007.
[4] C. Bohm, A. Pryakhin, and M. Schubert. Probabilistic ranking queries on gaussians. In Proc. Intl Conf. Scientific and Statistical
Database Management (SSDBM), 2006.
[5] V. Bryant. Metric Spaces: Iteration and Application. Cambridge University Press, 1996.
[6] J. Chen and R. Cheng. Efficient evaluation of imprecise locationdependent queries. In Proc. Intl Conf. Data Eng. (ICDE), 2007.
[7] R. Cheng, J. Chen, M. F. Mokbel, and C.-Y. Chow. Probabilistic verifiers: Evaluating constrained nearest-neighbor queries over
uncertain data. In Proc. Intl Conf. Data Eng. (ICDE), 2008.
[8] R. Cheng, D. V. Kalashnikov, and S. Prabhakar. Evaluating probabilistic queries over imprecise data. In Proc. ACM SIGMOD,
2003.
[9] R. Cheng, S. Singh, and S. Prabhakar. Efficient join processing over uncertain data. In Proc. Int’l Conf. Information and Knowledge
Management (CIKM), 2006.
[10] R. Cheng, Y. Xia, S. Prabhakar, R. Shah, and J. S. Vitter. Effcient indexing methods for probabilistic threshold queries over
uncertain data. In Proc. Intl Conf. Very Large Data Bases (VLDB), 2004.
[11] G. W. Cordner. Police patrol work load studies: A review and critique. Police Studies, 2(3):50–60, 1979.
[12] X. Dai, M. Yiu, N. Mamoulis, Y. Tao, and M. Vaitis. Probabilistic spatial queries on existentially uncertain data. In Proc. Intl
Symp. Large Spatio-Temporal Databases (SSTD), 2005.
[13] E. Frentzos, K. Gratsias, and Y. Theodoridis. On the effect of location uncertainty in spatial querying. IEEE Trans. Knowl. Data
Eng., 21(3):366–383, 2009.
[14] M. Hua, J. Pei, W. Zhang, and X. Lin. Ranking queries on uncertain data: A probabilistic threshold approach. In Proc. ACM
SIGMOD, 2008.
[15] Y. Ishikawa, Y. Iijima, and J. X. Yu. Spatial range querying for gaussian-based imprecise query objects. In Proc. Intl Conf. Data
Eng. (ICDE), 2009.
[16] H.-P. Kriegel, P. Kunath, M. Pfeifle, and M. Renz. Probabilistic similarity join on uncertain data. In Proc. Intl Conf. Database
Systems for Advanced Applications (DASFAA), 2006.
[17] H. P. Kriegel and M. Pfeifle. Density-based clustering of uncertain data. In Proc. ACM SIGKDD, 2005.
[18] X. Lian and L. Chen. Monochromatic and bichromatic reverse skyline search over uncertain databases. In Proc. ACM
SIGMOD,2008.
[19] R. Meester. A Natural Introduction to Probability Theory. Addison Wesley, 2004.
[20] W. K. Ngai, B. Kao, C. K. Chui, R. Cheng, M. Chau, and K. Y. Yip. Efficient clustering of uncertain data. In Proc. Int’l Conf. on
Data Mining (ICDM), 2006.
[21] J. Ni, C. V. Ravishankar, and B. Bhanu. Probabilistic spatial database operations. In Proc. Intl Symp. Large Spatio-Temporal
Databases (SSTD), 2003.
[22] D. Papadias, P. Kalnis, J. Zhang, and Y. Tao. Efficient olap operations in spatial data warehouses. In Proc. Intl Symp. Large Spatio-
Temporal Databases (SSTD), 2001.
[23] J. Pei, B. Jiang, X. Lin, and Y. Yuan. Probabilistic skyline on uncertain data. In Proc. Intl Conf. Very Large Data Bases (VLDB),
2007.
[24] G. M. Siouris. Missile Guidance and Control Systems. Springer Publication, 2004.
[25] M. A. Soliman, I. F. Ilyas, and K. C. Chang. Top-k query processing in uncertain databases. In Proc. Intl Conf. Data Eng (ICDE),
2007
Biographies
D. J. SUJAY persuing his MTech in CSE,in ADAMS Engg College.His interesting fields are data minig,,SAP system admin etc
U. JWALITHA,Completed her Mtech in department of CSE in Mother Teresa Engg college.Presently working as Asst.Prof
in ADAMS Engg college.Her areas of interest are Netwok Secuirt & mobile computing etc.

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Evaluation of Uncertain Location

  • 1. IOSR Journal of Computer Engineering (IOSRJCE) ISSN: 2278-0661 Volume 4, Issue 4 (Sep-Oct. 2012), PP 06-12 www.iosrjournals.org www.iosrjournals.org 6 | Page Evaluation of Uncertain Location D. J. Sujay1 , Jwalitha2 1 (Department Of Computer Science, Ame, Jntu, and Palwancha, India 2 (Asst Prof in Department Of Computer Science, Ame, Jntu, Palwancha, India Abstract: In many applications, including location based services, queries may not be precise. In this paper, we study the problem of efficiently computing range aggregates in a multidimensional space when the query location is uncertain. We propose novel, efficient techniques to solve the problem following the filtering-and- verification paradigm. Keywords: Uncertainty,Range aggregates,filtering-and-verification I. INTRODUCTION Query imprecision or uncertainty may be often caused by the nature of many applications, including location based services. The existing techniques for processing location based spatial queries regarding certain query points and data points are not applicable or inefficient when uncertain queries are involved. In this paper, we investigate the problem of efficiently computing distance based range aggregates over certain data points and uncertain query points as described in the abstract. In general, an uncertain query Q is a multi-dimensional point that might appear at any location x following a probabilistic density function pdf(x) within a region Q.region. There is a number of applications where a query point may be uncertain Motivating Application : A blast warhead carried by a missile may destroy things by blast pressure waves in its lethal area where the lethal area is typically a circular area centered at the point of explosion (blast point) with radius γ and γ depends on the explosive used. While firing such a missile, even the most advanced laser- guided missile cannot exactly hit the aiming point with 100% guarantee. The actual falling point (blast point) of a missile blast warhead regarding a target point usually follows some probability density functions (PDFs); different PDFs have been studied in [24] where bivariate normal distribution is the simplest and the most common one. In military applications, firing such a missile may not only destroy military targets but may also damage civilian objects. Therefore, it is important to avoid the civilian casualties by estimating the likelihood of damaging civilian objects once the aiming point of a blast missile is determined. Points {pi} for 1 ≤ i ≤ 7 represent some civilian objects (e.g., residential buildings, public facilities). The actual falling point of the missile, then objects p1 and p5 will be destroyed. Similarly, objects p2, p3 and p6 will be destroyed if the actual falling point is q2. In this application, the risk of civilian casualties may be measured by the total number n of civilian objects which are within γ distance away from a possible blast point with at least θ probability II. IMPLEMENTATION The Our techniques are developed based onthe standard filtering-and-verification paradigm. We first discuss how to apply the existing probabilistically constrained regions (PCR) techniques to our problem.Then, we propose two novel distance based filtering techniques, statistical filtering (STF) and anchor point filtering (APF), respectively, to address the inherent limits of the PCR technique To the best of our knowledge, we are the first to identify the problem of computing range aggregates against uncertain location based query. In this paper, we investigate the problem regarding both continuous and discrete Q. Our principle contributions can be summarized as follows. • We propose two novel filtering techniques, STF and APF, respectively. The STF technique has a decent filtering power and only requires the storage of very limited pre-computed information. APF provides the flexibility to significantly enhance the filtering power by demanding more pre-computed information information to be stored. Both of them can be applied to continuous case and discrete case. • Extensive experiments are conducted to demonstrate the efficiency of our techniques. • While we focus on the problem of range counting for uncertain location based queries in the paper, our techniques can be immediately extended to other range aggregates. III. PROBLEM DEFINITION In the paper, S is a set of points in a d-dimensional numerical space. The distance between two points x and y is denoted by δ(x, y). Note that techniques developed in the paper can be applied to any distance metrics In the examples and experiments, the Euclidean distance is used. For two rectangular regions r1 and r2, we have
  • 2. Evaluation of Uncertain Location www.iosrjournals.org 7 | Page δmax(r1, r2) = max∀ x∈r1,y∈ r2 δ(x, y) and δmin(r1, r2) = 0 if r1 ∩ r2 _= ∅ min∀ x∈r1,y∈ r2 δ(x, y) otherwise (1) An uncertain (location based) query Q may be described by a continuous or a discrete distribution as follows. Definition 1 (Continuous Distribution). An uncertain query Q is described by a probabilistic density function Q.pdf Let Q.region represent the _ region where Q might appear, then x∈ Q.region Q.pdf(x)dx = 1; Definition 2 (Discrete Distribution). An uncertain query Q consists of a set of instances (points) {q1, q2, . . . , qn} in a d dimensional numerical space where qi appears with probability Pqi, and _ q∈ Q Pq = 1; where Q can have a non-zero probability to be absent; that is, _x∈ Q.region Q.pdf(x)dx = c or_q∈ Q Pq = c for a c < 1. For a point p, we use Pfall(Q, p, γ) to represent the probability of Q within γ distance to p, called falling probability of p regarding Q and γ. It is formally defined below. For continuous cases, Pfall(Q, p, γ) =_x∈ Q.region ∧ δ(x,p)≤γ Q.pdf(x)dx (2) For discrete cases, Pfall(Q, p, γ) =_q∈ Q ∧ δ(q,p)≤γ Pq (3) In the paper hereafter, Pfall(Q, p, γ) is abbreviated to Pfall(p, γ), and Q.region and Q.pdf are abbreviated to Q and pdf respectively, whenever there is no ambiguity. It is immediate that Pfall(p, γ) is a monotonically increasing function with respect to distance γ. Example of Pfall(Q, p, γ) IV. INDENTATIONS Filtering-and-Verification Algorithm: This motivates us to follow the filtering-and-verification paradigm for the uncertain aggregate query computation. Particularly, in the filtering phase, effective and efficient filtering techniques will be applied to prune or validate the points. The algorithm consists of two phases. In the filtering phase for each entry e of RS to be processed, we do not need to further process e if it is pruned or validated by the filter F. We say an entry e is pruned (validated) if the filter can claim Pfall (p, γ) < θ (Pfall (p, γ) ≥ θ) for any point p within embb. The counter cn is increased by |e| if e is validated where |e| denotes the aggregate value of e (i.e., the number of data points in e). Otherwise, the point p associated with e is a candidate point if e corresponds to a data entry and all child entries of e are put into the queue for further processing if e is an intermediate entry. The filtering phase terminates when the queue is empty. In the verification phase candidate points are verified by the integral calculations. Modules: Filtering and verification: When User wants to Search any Civilian Objects like Hotels, Hospitals, Banks, etc., to generate & verify the database then gave exact details. If, he wants to Advanced Search, to give exact range values, apart from that civilian objects details to be displayed with Civilian Objects categorized and calculate the distance details. Query Processing: Admin Verify the User Requests and check the user requests is contain in our database or not. If the database contains the user requests to calculate the Range (Distance) value, and then send Response to the Appropriate Values, suppose the request doesn’t contain in the database send response is ‘Record Not Found’ that query sent to the particular User. Response Results: User Verify the Admin Responses and the user requests is match with database the query produce with the Correct Results and Download the word file, otherwise not download. If the database contains the user requests to calculate the Range (Distance) value, suppose the request doesn’t contain in the database received response is ‘Record Not Found’ but if matching results are retrieved.
  • 3. Evaluation of Uncertain Location www.iosrjournals.org 8 | Page Upload Civilian Objects with Distance: Admin can upload the Civilian Objects details with Correct Location (area), Address, Phone and Upload Civilian Objects Profile (.doc) file. If calculate distance in one location to another location so the admin entry the details for distance and admin can view the User Details also. V DIAGRAMS ARCHITECTURE .DATAFLOW DIAGRAM Login Check ADMINUSER Exists Exists yes yes Create Account no Search Exists Not Exists View Location Details No Record Found End no Adanced Search Location Request Upload Location Details Responses From Admin Upload Distance User Requests Not Exists Exists View Location & Distance Details View Location & Download Details Details Sent To User Total Responses View User Details WAP Exists Check Check Exists Not Exists Matching Results V. Experiment Results Fig 1:figure shows the home page
  • 4. Evaluation of Uncertain Location www.iosrjournals.org 9 | Page Fig 2:shows the login page Fig 3:Show the signup page if the user/admin login for the first time Fig 4:login page for user/admin
  • 5. Evaluation of Uncertain Location www.iosrjournals.org 10 | Page Fig 5:Shows the upload details for the admin Fig 6:Shows the upload distance from source to destination Fig 7:shows the search request for a location
  • 6. Evaluation of Uncertain Location www.iosrjournals.org 11 | Page Fig 8:shows the user search request Fig 9:shows the location request by user Fig 10:shows the total responses from admin Fig 11:shows the response as record not found
  • 7. Evaluation of Uncertain Location www.iosrjournals.org 12 | Page VI. CONCLUSION In this paper, the problem of uncertain location based range aggregate query in a multidimensional space; it covers a wide spectrum of applications.To efficiently process such a query, we propose a general filtering and verification framework and two novel filtering techniques, named STF and APF respectively, such that the expensive computation and IO cost for verification can be significantly reduced. Our experiments convincingly demonstrate the effectiveness and efficiency of our techniques. VII. ACKNOWLEDGEMENTS The work was supported by ARC Grant (DP0987557, DP0881035 and DP0666428) and Google Research Award.Yufei Tao was supported by GRF grants 4166/10 and 4169/09 from HKRGC. REFERENCES [1] P. K. Agarwal, S.-W. Cheng, Y. Tao, and K. Yi. Indexing uncertain . In Proc. Symp. Principles of Database Systems (PODS), 2009. [2] C. Aggarwal and P. Yu. On high dimensional indexing of uncertain data. In Proc. Intl Conf. Data Eng. (ICDE), 2008. [3] C. Bohm, M. Gruber, P. Kunath, A. Pryakhin, and M. Schubert. Prover: Probabilistic video retrieval using the gauss-tree. In Proc. Intl Conf. Data Eng. (ICDE), 2007. [4] C. Bohm, A. Pryakhin, and M. Schubert. Probabilistic ranking queries on gaussians. In Proc. Intl Conf. Scientific and Statistical Database Management (SSDBM), 2006. [5] V. Bryant. Metric Spaces: Iteration and Application. Cambridge University Press, 1996. [6] J. Chen and R. Cheng. Efficient evaluation of imprecise locationdependent queries. In Proc. Intl Conf. Data Eng. (ICDE), 2007. [7] R. Cheng, J. Chen, M. F. Mokbel, and C.-Y. Chow. Probabilistic verifiers: Evaluating constrained nearest-neighbor queries over uncertain data. In Proc. Intl Conf. Data Eng. (ICDE), 2008. [8] R. Cheng, D. V. Kalashnikov, and S. Prabhakar. Evaluating probabilistic queries over imprecise data. In Proc. ACM SIGMOD, 2003. [9] R. Cheng, S. Singh, and S. Prabhakar. Efficient join processing over uncertain data. In Proc. Int’l Conf. Information and Knowledge Management (CIKM), 2006. [10] R. Cheng, Y. Xia, S. Prabhakar, R. Shah, and J. S. Vitter. Effcient indexing methods for probabilistic threshold queries over uncertain data. In Proc. Intl Conf. Very Large Data Bases (VLDB), 2004. [11] G. W. Cordner. Police patrol work load studies: A review and critique. Police Studies, 2(3):50–60, 1979. [12] X. Dai, M. Yiu, N. Mamoulis, Y. Tao, and M. Vaitis. Probabilistic spatial queries on existentially uncertain data. In Proc. Intl Symp. Large Spatio-Temporal Databases (SSTD), 2005. [13] E. Frentzos, K. Gratsias, and Y. Theodoridis. On the effect of location uncertainty in spatial querying. IEEE Trans. Knowl. Data Eng., 21(3):366–383, 2009. [14] M. Hua, J. Pei, W. Zhang, and X. Lin. Ranking queries on uncertain data: A probabilistic threshold approach. In Proc. ACM SIGMOD, 2008. [15] Y. Ishikawa, Y. Iijima, and J. X. Yu. Spatial range querying for gaussian-based imprecise query objects. In Proc. Intl Conf. Data Eng. (ICDE), 2009. [16] H.-P. Kriegel, P. Kunath, M. Pfeifle, and M. Renz. Probabilistic similarity join on uncertain data. In Proc. Intl Conf. Database Systems for Advanced Applications (DASFAA), 2006. [17] H. P. Kriegel and M. Pfeifle. Density-based clustering of uncertain data. In Proc. ACM SIGKDD, 2005. [18] X. Lian and L. Chen. Monochromatic and bichromatic reverse skyline search over uncertain databases. In Proc. ACM SIGMOD,2008. [19] R. Meester. A Natural Introduction to Probability Theory. Addison Wesley, 2004. [20] W. K. Ngai, B. Kao, C. K. Chui, R. Cheng, M. Chau, and K. Y. Yip. Efficient clustering of uncertain data. In Proc. Int’l Conf. on Data Mining (ICDM), 2006. [21] J. Ni, C. V. Ravishankar, and B. Bhanu. Probabilistic spatial database operations. In Proc. Intl Symp. Large Spatio-Temporal Databases (SSTD), 2003. [22] D. Papadias, P. Kalnis, J. Zhang, and Y. Tao. Efficient olap operations in spatial data warehouses. In Proc. Intl Symp. Large Spatio- Temporal Databases (SSTD), 2001. [23] J. Pei, B. Jiang, X. Lin, and Y. Yuan. Probabilistic skyline on uncertain data. In Proc. Intl Conf. Very Large Data Bases (VLDB), 2007. [24] G. M. Siouris. Missile Guidance and Control Systems. Springer Publication, 2004. [25] M. A. Soliman, I. F. Ilyas, and K. C. Chang. Top-k query processing in uncertain databases. In Proc. Intl Conf. Data Eng (ICDE), 2007 Biographies D. J. SUJAY persuing his MTech in CSE,in ADAMS Engg College.His interesting fields are data minig,,SAP system admin etc U. JWALITHA,Completed her Mtech in department of CSE in Mother Teresa Engg college.Presently working as Asst.Prof in ADAMS Engg college.Her areas of interest are Netwok Secuirt & mobile computing etc.