Chebyshev Approximate Solution to Allocation Problem in Multiple Objective Surveys with Random Costs

Mohammed Faisal khan, Irfan Ali, Qazi Shoeb Ahmad

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DOI: 10.4236/ajcm.2011.14029                

Abstract

In this paper, we consider an allocation problem in multivariate surveys as a convex programming problem with non-linear objective functions and a single stochastic cost constraint. The stochastic constraint is converted into an equivalent deterministic one by using chance constrained programming. The resulting multi-objective convex programming problem is then solved by Chebyshev approximation technique. A numerical example is presented to illustrate the computational procedure.

Keywords

Chance Constrained Programming, Multivariate Stratified Sampling, Optimum Allocation, Chebyshev Approximation

Conflicts of Interest

The authors declare no conflicts of interest.

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