{"title":"Stochastic Scheduling with Abandonment: Necessary and Sufficient Conditions for the Optimality of a Strict Priority Policy","authors":"Gang Chen, J. Gayon, Pierre Lemaire","doi":"10.1287/opre.2022.2285","DOIUrl":null,"url":null,"abstract":"Strict priority policies in a stochastic system with abandonment In the technical note “Stochastic scheduling with abandonment: Necessary and sufficient conditions for the optimality of a strict priority policy,” Chen, Gayon, and Lemaire consider a stochastic scheduling problem in which jobs abandon when their waiting time exceeds their lifetime. Such a problem arises, for example, in call centers or emergency systems. It is known that the optimal policy is a strict priority policy under some sets of conditions. The authors provide the first set of necessary and sufficient conditions for a problem with two types of jobs. They also provide conjectures to guide toward generalizations of the proposed conditions.","PeriodicalId":49809,"journal":{"name":"Military Operations Research","volume":"39 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Military Operations Research","FirstCategoryId":"91","ListUrlMain":"https://doi.org/10.1287/opre.2022.2285","RegionNum":4,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
Strict priority policies in a stochastic system with abandonment In the technical note “Stochastic scheduling with abandonment: Necessary and sufficient conditions for the optimality of a strict priority policy,” Chen, Gayon, and Lemaire consider a stochastic scheduling problem in which jobs abandon when their waiting time exceeds their lifetime. Such a problem arises, for example, in call centers or emergency systems. It is known that the optimal policy is a strict priority policy under some sets of conditions. The authors provide the first set of necessary and sufficient conditions for a problem with two types of jobs. They also provide conjectures to guide toward generalizations of the proposed conditions.
期刊介绍：
Military Operations Research is a peer-reviewed journal of high academic quality. The Journal publishes articles that describe operations research (OR) methodologies and theories used in key military and national security applications. Of particular interest are papers that present: Case studies showing innovative OR applications Apply OR to major policy issues Introduce interesting new problems areas Highlight education issues Document the history of military and national security OR.
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