Allocation in Multivariate Stratified Surveys with Non-Linear Random Cost Function

Mohammed Faisal Khan, Irfan Ali, Yashpal Singh Raghav, Abdul Bari

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CSIRO Department of Mathematics, Integral University, Lucknow, India.
Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India.

DOI: 10.4236/ajor.2012.21012                

Abstract

In this paper, we consider an allocation problem in multivariate surveys with non-linear costs of enumeration as a problem of non-linear stochastic programming with multiple objective functions. The solution is obtained through Chance Constrained programming. A different formulation of the problem is also presented in which the non-linear cost function is minimised under the precision constraints on estimates of various characters. The solution is then obtained by using Modified E-model. A numerical example is solved for both the formulations.

Keywords

Stratified Survey; Optimum Allocation; Compromise Allocation; Stochastic Programming; Chance Constraints; Modified E-Model

Conflicts of Interest

The authors declare no conflicts of interest.

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