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

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

Shafiullah

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Aligarh Muslim University

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.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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How to Cite This Article

Shafiullah. 2015. \u201cMulti-Objective Geometric Programming in Multiple-Response Stratified Sample Surveys with Quadratic Cost Function\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F7): .

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GJSFR Volume 14 Issue F7
Pg. 41- 59

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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

Submission ReceivedOctober 26, 2014
Peer Review Double Blind
Handling Editor
Accepted November 21, 2014
Published December 4, 2014

Version of record

v1.2

Issue date

January 8, 2015

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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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