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Fuzzy Geometric Programming in Multivariate Stratified Sample Surveys in Presence of Non-Response with Quadratic Cost Function
Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India
Department of Computing and Informatics Saudi Electronics University, Riyadh, Saudi Arabia
Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India
- 1 Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India
- 2 Department of Computing and Informatics Saudi Electronics University, Riyadh, Saudi Arabia
- 3 Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India
American Journal of Operations Research·Volume 04 (2014)·Pages 173–188·Published 30 April 2014·DOI10.4236/ajor.2014.43017
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Abstract
In this paper, the problem of non-response with significant travel costs in multivariate stratified sample surveys has been formulated of as a Multi-Objective Geometric Programming Problem (MOGPP). The fuzzy programming approach has been described for solving the formulated MOGPP. The formulated MOGPP has been solved with the help of LINGO Software and the dual solution is obtained. The optimum allocations of sample sizes of respondents and non respondents are obtained with the help of dual solutions and primal-dual relationship theorem. A numerical example is given to illustrate the procedure.
KeywordsGeometric ProgrammingFuzzy ProgrammingNon-Response with Travel CostOptimum AllocationsMultivariate Stratified Sample Surveys
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