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
收藏
页码：1211 / 1217
页数：7
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