Solution of a Multivariate Stratified Sampling Problem through Chebyshev's Goal Programming

Kaynat Nasser; Mohd. Vaseem Ismail; Qazi Shoeb Ahmad

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Solution of a Multivariate Stratified Sampling Problem through Chebyshev's Goal Programming

Author(s)

Kaynat Nasser Department of Mathematics Integral University,Lucknow,India

Mohd. Vaseem Ismail Faculty of Pharmacy Jamia Hamdard, New Delhi, India

Qazi Shoeb Ahmad Department of Mathematics Integral University, Lucknow India

Abstract

We consider the problem of minimizing variances for the various characters for a fixed (given) budget. Each convex objective function is first linearised at its minimal point. The resulting multiobjective linear programming problem is then solved by Chebyshev's goal programming. A numerical example is given to illustrate the procedure.

Publication Details

Page(s) 101-108

DOI DOI not available

Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 7, Issue: 1, Year: 2011

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Keywords

Multivariate stratified sampling, Multi-objective linear programming, Chebyshev's goal programming

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