Mustafa S. Canbolat, George O. Wesolowsky, Michael v, on Massow
{"title":"Locating a rectangular barrier facility on the plane: a bi-objective approach","authors":"Mustafa S. Canbolat, George O. Wesolowsky, Michael v, on Massow","doi":"10.1504/ijor.2023.133747","DOIUrl":null,"url":null,"abstract":"We study the problem of finding a minimax location for a rectangular barrier facility on the plane and simultaneously minimising the interference of the barrier facility to the interactions among the existing facilities using rectilinear distances. This provides an ex post opportunity to modify an existing network or layout while minimising the disruption. The problem is formulated as a bi-objective problem and a mixed integer program is proposed as a solution methodology. A simulated annealing algorithm is presented for an extension of the problem where expropriation or removal of existing facilities is also possible. We consider expropriation or removal of existing facilities only if such policy is necessary or cost-beneficial.","PeriodicalId":35451,"journal":{"name":"International Journal of Operational Research","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Operational Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/ijor.2023.133747","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Decision Sciences","Score":null,"Total":0}
引用次数: 0
Abstract
We study the problem of finding a minimax location for a rectangular barrier facility on the plane and simultaneously minimising the interference of the barrier facility to the interactions among the existing facilities using rectilinear distances. This provides an ex post opportunity to modify an existing network or layout while minimising the disruption. The problem is formulated as a bi-objective problem and a mixed integer program is proposed as a solution methodology. A simulated annealing algorithm is presented for an extension of the problem where expropriation or removal of existing facilities is also possible. We consider expropriation or removal of existing facilities only if such policy is necessary or cost-beneficial.
期刊介绍:
IJOR is a fully refereed journal generally covering new theory and application of operations research (OR) techniques and models that include inventory, queuing, transportation, game theory, scheduling, project management, mathematical programming, decision-support systems, multi-criteria decision making, artificial intelligence, neural network, fuzzy logic, expert systems, and simulation. New theories and applications of operations research models are welcome to IJOR. Modelling and optimisation have become an essential function of researchers and practitioners in a networked global economy. New theory development in operations research and their applications in new economy and society have been limited.