The set of all the possible compromises of a multi-level multi-objective linear programming problem

被引：2

作者：

Kaci, Mustapha ^{[1
]}

Radjef, Sonia ^{[1
]}

机构：

[1] Univ Sci & Technol Oran Mohamed Boudiaf USTO MB, Fac Math & Comp Sci, Signal Image Parole SIMPA Lab, BP 1505, Bir El Djir 31000, Oran, Algeria

来源：

CROATIAN OPERATIONAL RESEARCH REVIEW | 2022年 / 13卷 / 01期

关键词：

Multi-level multi-objective linear programming; decision-makers; non-dominated points; non-dominated facets; non-dominated extreme points; MATHEMATICAL PROGRAMS;

D O I：

10.17535/crorr.2022.0002

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

In this paper, a new approach is developed to solve multi-level multi-objective linear programming problems (ML-MOLPP), by providing the set of all the compromises without taking into account the hierarchy of the problem. A simple criterion is developed for testing whether a given feasible solution is a possible compromise or not. We describe a method used to generate the set of all the compromises, based on the P.L. Yu and M. Zeleny's method. Theoretical results, numerical example and flow diagram are reported.

引用

页码：13 / 30

页数：18

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