SOLUTION OF A MULTIVARIATE STRATIFIED SAMPLING PROBLEM THROUGH CHEBYSHEV GOAL PROGRAMMING

SOLUTION OF A MULTIVARIATE STRATIFIED SAMPLING PROBLEM THROUGH CHEBYSHEV GOAL PROGRAMMING

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...

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Veröffentlicht in:Pakistan journal of statistics and operation research 2011-01, Vol.7 (1)
Hauptverfasser: Ismail, Mohd Vaseem, Nasser, Kaynat, Ahmad, Qazi Shoeb
Format: Artikel
Sprache:eng
Schlagworte:
Chebyshev approximation
Cost engineering
Goal programming
Mathematical analysis
Mathematical models
Operations research
Sampling
Statistics
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Zusammenfassung: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.
ISSN:1816-2711
2220-5810