Multi-Objective Geometric Programming in Multiple-Response Stratified Sample Surveys with Quadratic Cost Function
multi-objective, geometric programming, multiple-response, fuzzy programming, primal-dual relationship
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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2015-01-08
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