{"title":"Adding servers to reinforce facilities in a spatially distributed queueing system","authors":"Monir Sabbaghtorkan , Rajan Batta , Qing He","doi":"10.1016/j.cor.2024.106862","DOIUrl":null,"url":null,"abstract":"<div><div>We study the problem of adding servers to reinforce functioning facilities modeled as spatially distributed <span><math><mrow><mi>M</mi><mo>/</mo><mi>M</mi><mo>/</mo><mi>c</mi></mrow></math></span> type queuing systems. We consider two modes, stationary and interactive. The stationary mode is for a situation in which adding new servers to functioning facilities does not change the demand distribution (e.g., hospital care or vehicle inspection). The interactive mode is for a situation in which adding servers will likely change the demand distribution (e.g., gas stations, electric vehicle charging stations). Here we use the gravity rule to model demand adjustment. A case study is presented based on allocation of gas servers to existing gas stations in an hurricane evacuation event. Managerial insights are provided based on sensitivity analysis.</div></div>","PeriodicalId":10542,"journal":{"name":"Computers & Operations Research","volume":"173 ","pages":"Article 106862"},"PeriodicalIF":4.1000,"publicationDate":"2024-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computers & Operations Research","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0305054824003344","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
We study the problem of adding servers to reinforce functioning facilities modeled as spatially distributed type queuing systems. We consider two modes, stationary and interactive. The stationary mode is for a situation in which adding new servers to functioning facilities does not change the demand distribution (e.g., hospital care or vehicle inspection). The interactive mode is for a situation in which adding servers will likely change the demand distribution (e.g., gas stations, electric vehicle charging stations). Here we use the gravity rule to model demand adjustment. A case study is presented based on allocation of gas servers to existing gas stations in an hurricane evacuation event. Managerial insights are provided based on sensitivity analysis.
期刊介绍：
Operations research and computers meet in a large number of scientific fields, many of which are of vital current concern to our troubled society. These include, among others, ecology, transportation, safety, reliability, urban planning, economics, inventory control, investment strategy and logistics (including reverse logistics). Computers & Operations Research provides an international forum for the application of computers and operations research techniques to problems in these and related fields.
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