### Geometric programming approach in multivariate stratified sample surveys in case of non-response

#### Abstract

*This paper provides an attempt to utilize the geometric programming approach in multivariate stratified sample surveys in case of non-response. The problem has been solved in two phases. In first phase the multivariate stratified sample surveys in case of non-response has been formulated as geometric programming problem *(*GPP*)* and the solution is obtained. The obtained solution is the dual solution of the formulated GPP. In second phase with the help of dual solutions of formulated GPP and primal-dual relationship theorem the optimum allocation of sample sizes of respondents and non respondents are obtained. A numerical example is given to illustrate the procedure. *

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