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Allocation in Multivariate Stratified Surveys with Non-Linear Random Cost Function
CSIRO Department of Mathematics, Integral University, Lucknow, India
Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India
Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India
- 1 CSIRO Department of Mathematics, Integral University, Lucknow, India
- 2 Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India
- 3 Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India
- 4
American Journal of Operations Research·Volume 02 (2012)·Pages 100–105·Published 14 March 2012·DOI10.4236/ajor.2012.21012
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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.
KeywordsStratified SurveyOptimum AllocationCompromise AllocationStochastic ProgrammingChance ConstraintsModified E-Model
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