Compromise allocation in multivariate stratified surveys with stochastic quadratic cost function |
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Authors: | Irfan Ali Yashpal Singh Raghav Abdul Bari |
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Institution: | 1. Department of Statistics and Operations Research , Aligarh Muslim University , Aligarh , India irfii.ali@gmail.com;3. Department of Statistics and Operations Research , Aligarh Muslim University , Aligarh , India |
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Abstract: | In many real life situations the linear cost function does not approximate the actual cost incurred adequately. The cost of traveling between the units selected in the sample within a stratum is significant, instead of linear cost function. In this paper, we have considered the problem of finding a compromise allocation for a multivariate stratified sample survey with a significant travel cost within strata is formulated as a problem of non-linear stochastic programming with multiple objective functions. The compromise solutions are obtained through Chebyshev approximation technique, D 1- distance and goal programming. A numerical example is presented to illustrate the computational details of the proposed methods. |
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Keywords: | stratified survey optimum allocation compromise allocation quadratic cost stochastic programming chance constraints Chebyshev approximation D 1 distance and goal programming |
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