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

IF 0.5 Q4 ECONOMICS

Croatian Operational Research Review Pub Date : 2022-07-12 DOI:10.17535/crorr.2022.0002

Mustapha Kaci, Sonia Radjef

引用次数: 4

Abstract

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.

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多级多目标线性规划问题的所有可能折衷的集合

本文提出了一种求解多目标线性规划问题(ML-MOLPP)的新方法，该方法在不考虑问题层次的情况下给出了所有妥协的集合。开发了一个简单的标准，用于测试给定的可行解决方案是否是可能的折衷方案。基于P.L. Yu和M. Zeleny的方法，我们描述了一种用于生成所有妥协集合的方法。给出了理论结果、数值算例和流程图。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Croatian Operational Research Review ECONOMICS-

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

22 weeks

期刊介绍： Croatian Operational Research Review (CRORR) is the journal which publishes original scientific papers from the area of operational research. The purpose is to publish papers from various aspects of operational research (OR) with the aim of presenting scientific ideas that will contribute both to theoretical development and practical application of OR. The scope of the journal covers the following subject areas: linear and non-linear programming, integer programing, combinatorial and discrete optimization, multi-objective programming, stohastic models and optimization, scheduling, macroeconomics, economic theory, game theory, statistics and econometrics, marketing and data analysis, information and decision support systems, banking, finance, insurance, environment, energy, health, neural networks and fuzzy systems, control theory, simulation, practical OR and applications. The audience includes both researchers and practitioners from the area of operations research, applied mathematics, statistics, econometrics, intelligent methods, simulation, and other areas included in the above list of topics. The journal has an international board of editors, consisting of more than 30 editors – university professors from Croatia, Slovenia, USA, Italy, Germany, Austria and other coutries.