Global optimization of mixed integer signomial fractional programing problems

被引：0

作者：

Nejad, Jaleh Shirin ^{[1
]}

Saraj, Mansour ^{[2
,3
]}

Yancheshmeh, Sara Shokrolahi ^{[1
]}

Harchegani, Fatemeh Kiany ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Ahvaz, Iran

[2] Shahid Chamran Univ Ahvaz, Fac Math Sci & Comp, Dept Math, Ahvaz, Iran

[3] Shahid Chamran Univ Ahvaz, Fac Math Sci & Comp, Dept Math, Ahvaz 6135743337, Khuzestan, Iran

来源：

MEASUREMENT & CONTROL | 2024年 / 57卷 / 08期

关键词：

Global optimization; geometric programing; signomial fractional programing; mixed integer programing; and piecewise linear approximation;

D O I：

10.1177/00202940231217340

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The main issue in the present article is to investigate how to solve a mixed integer fractional signomial geometric programing problem (MIFSGP). In the first step to achieving this idea, we must convert a fractional signomial programing problem into a non-fractional problem via a simple conversion technique. Then, a convex relaxation with a new modified piecewise linear approximation with integer break points as a pre-solve method is used to reach an integer global optimum solution. A few numerical examples are included to illustrate the advantages of the proposed method

引用

页码：1211 / 1217

页数：7

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