{"title":"The set of all the possible compromises of a multi-level multi-objective linear programming problem","authors":"Mustapha Kaci, Sonia Radjef","doi":"10.17535/crorr.2022.0002","DOIUrl":null,"url":null,"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.","PeriodicalId":44065,"journal":{"name":"Croatian Operational Research Review","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Croatian Operational Research Review","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17535/crorr.2022.0002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ECONOMICS","Score":null,"Total":0}
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.
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
