Solution Of A Multivariate Stratified Sampling Problem Through Chebyshev Goal Programming

Solution Of A Multivariate Stratified Sampling Problem Through Chebyshev Goal Programming

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Article ID: iaor20118342
Volume: 7
Issue: 1
Start Page Number: 101
End Page Number: 108
Publication Date: Jan 2011
Journal: Pakistan Journal of Statistics and Operation Research
Authors: , ,
Keywords: programming: linear, programming: multiple criteria, programming: goal
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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