MODIFIED GEOMETRIC PROGRAMMING PROBLEM AND ITS APPLICATIONS

被引:5
作者
Islam, Sahidul [1 ]
Roy, Tapan Kumar [2 ]
机构
[1] Bengal Engn Coll, Council Sci & Ind Res, Howrah, India
[2] Bengal Engn Coll, Dept Math, Math, Howrah, India
关键词
Geometric programming; residual vector; least square method; max-min method; modified geometric programming problem;
D O I
10.1007/BF02936045
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we propose unconstrained and constrained posy-nomial Geometric Programming (GP) problem with negative or positive integral degree of difficulty. Conventional GP approach has been modified to solve some special type of GP problems. In specific case, when the degree of difficulty is negative, the normality and the orthogonality conditions of the dual program give a system of linear equations. No general solution vector exists for this system of linear equations. But an approximate solution can be determined by the least square and also max-min method. Here, modified form of geometric programming method has been demonstrated and for that purpose necessary theorems have been derived. Finally, these are illustrated by numerical examples and applications.
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页码:121 / 144
页数:24
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