Multi-Objective Geometric Programming in Multiple-Response Stratified Sample Surveys with Quadratic Cost Function

Shafiullah

Multi-Objective Geometric Programming in Multiple-Response Stratified Sample Surveys with Quadratic Cost Function

Shafiullah * §

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§ Aligarh Muslim University, Aligarh

Multi-Objective Geometric Programming in Multiple-Response Stratified Sample Surveys with Quadratic Cost Function

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Abstract

In this paper, the problem of multiple-response in stratified sample surveys has been formulated as a multi-objective geometric programming problem (MOGPP). The fuzzy programming is described for solving the formulated MOGPP. The formulated MOGPP has been solved by Lingo software and the dual solution is obtained. Subsequently with the help of dual solution of formulated MOGPP and the primal-dual relationship theorem the optimum allocations of multiple-response are obtained. A numerical example is given to illustrate the procedure.

References

7 Cites in Article

Reference Format

1. Javed Ahmed,Charles Bonham (1987). Application of geometric programming to optimum allocation problems in multivariate doubling sampling. Applied Mathematics and Computation, 21(2), 157-169.
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2. M. Ahsan,S. Khan (1977). Optimum allocation in multivariate stratified random sampling using prior information. Journal of Indian Statistical Association, 15, 57-67.
3. Athar Ansari,Rahul Varshney,Najmussehar,Mohammad Ahsan (2011). An optimum multivariate-multiobjective stratified sampling design. METRON, 69(3), 227-250.
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4. Hirojiro Aoyama (1963). Stratified random sampling with optimum allocation for multivariate population. Annals of the Institute of Statistical Mathematics, 14(1), 251-258.
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5. J. Beardwood,J. Halton,J. Hammersley (1959). The shortest path through many points, Proc. Cambridge Phil. Soc, 55, 299-327.
6. J. Bethel (1985). An optimum allocation algorithm for multivariate surveys. Proceedings of the Survey Research Methods section, 209-212.
7. J. Bethel (1989). Sample allocation in multivariate surveys. Survey Methodology

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Shafiullah. 2015. "Multi-Objective Geometric Programming in Multiple-Response Stratified Sample Surveys with Quadratic Cost Function". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue 46 (F7)).

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GJSFR Volume 14 Issue 46 (F7)

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

fuzzy programming geometric programming multi-objective multiple-response primal-dual relationship

Classification

GJSFR-F Classification MSC 2010: 11D09

19L64

Submission ReceivedOctober 26, 2014
Peer Review Double Blind
Handling Editor
Accepted November 21, 2014
Published November 24, 2014

Version of record

v1.2

Issue date

November 24, 2014

Language

English

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Article Matrices

Total Score: 101

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Shafiullah (PhD/Dr. count: 0)

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