Extremization of multi-objective stochastic fractional programming problemAn application to assembled printed circuit board problem

被引：0

作者：

V. Charles

D. Dutta

机构：

[1] SDM Institute for Management Development,Department of Management Science

[2] National Institute of Technology Warangal,Department of Mathematics & Humanities

来源：

Annals of Operations Research | 2006年 / 143卷

关键词：

Stochastic programming; Fractional programming; Non-linear programming; Lexicographical;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper addresses classes of assembled printed circuit boards, which faces certain kinds of errors during its process of manufacturing. Occurrence of errors may lead the manufacturer to be in loss. The encountered problem has two objective functions, one is fractional and the other is a non-linear objective. The manufacturers are confined to maximize the fractional objective and to minimize the non-linear objective subject to stochastic and non-stochastic environment. This problem is decomposed into two problems. A solution approach to this model has been developed in this paper. Results of some test problems are provided.

引用

页码：297 / 304

页数：7

共 23 条

[1]

Charnes A.(1962)Programming with Linear Fractional Functions Naval Research Logistic Quarterly 9 181-186

[2]

Cooper W.W.(1959)Newton's Method of Convex programming and Tchebycheff Approximation Numerische Methematik 1 253-268

[3]

Cheney E.W.(1993)A Restricted Class of Multi Objective Linear Fractional Programming Problems European Journal of Operational Research 68 352-355

[4]

Goldstein A.A.(1979)Stochastic Fractional Functionals Programming Ricerca Operativa, Franco Angeli-anno IX-nuova Serien 10 65-78

[5]

Dutta D.(1981)Stochastic Fractional Programming with Random Technology Matrix Gujarat Statistical Review VIII 23-34

[6]

Rao J.R.(2004)An Application of Stochastic Programming with Weibull Distribution—Cluster Based Optimum Allocation of Recruitments in Manpower Planning Journal of Stochastic Analysis and Applications 22 801-812

[7]

Tiwari R.N.(1960)The Cutting Plane for Solving Convex Programs Journal of SIAM VIII 703-712

[8]

Gupta S.N.(1981)Stochastic Programming Applied to Human Resource Planning North Holland: Operational Research Society 32 187-196

[9]

Swarup Kanti(1984)Multiobjective Optimization in Structural Design in the Presence of Uncertain Parameters and Stochastic Process AIAA Journal 22 1670-1678

[10]

Gupta S.N.(1986)Multistage Multiobjective Optimization of Gearboxes ASME Journal of Mechanisms, Transmissions & Automation in Design 108 461-468

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