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SOLUTION OF A MULTIVARIATE STRATIFIED SAMPLING PROBLEM THROUGH CHEBYSHEV GOAL PROGRAMMING

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Title: SOLUTION OF A MULTIVARIATE STRATIFIED SAMPLING PROBLEM THROUGH CHEBYSHEV GOAL PROGRAMMING

Authors: Mohd. Vaseem Ismail, Kaynat Nasser, Qazi Shoeb Ahmad

Journal: Pakistan Journal of Statistics and Operation Research

HEC Recognition History
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Y 2020-07-01 2021-06-30

Publisher: Asiatic Region

Country: Pakistan

Year: 2010

Volume: 7

Issue: 1

Language: English

DOI: 10.18187/pjsor.v7i1.172

Categories
Mathematics (5170) Operations Research (1313) Statistics (8857) Linear Programming (20) Multi-Objective Optimization (4)

Abstract

In this paper, we consider the problem of minimizing the variances for the various characters with fixed (given) budget. Each convex objective function is first linearised at its minimal point where it meets the linear cost constraint. The resulting multiobjective linear programming problem is then solved by Chebyshev goal programming. A numerical example is given to illustrate the procedure.

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