TITLE:
Allocation in Multivariate Stratified Surveys with Non-Linear Random Cost Function
AUTHORS:
Mohammed Faisal Khan, Irfan Ali, Yashpal Singh Raghav, Abdul Bari
KEYWORDS:
Stratified Survey; Optimum Allocation; Compromise Allocation; Stochastic Programming; Chance Constraints; Modified E-Model
JOURNAL NAME:
American Journal of Operations Research,
Vol.2 No.1,
March
14,
2012
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.