{"title":"最优地减少排队等候的人数","authors":"Mario Lefebvre","doi":"10.37394/23203.2023.18.35","DOIUrl":null,"url":null,"abstract":"The problem of reducing the number of customers waiting for service in a modifiedM/G/k queueing model is considered. We assume that the optimizer can decide how many servers are working at any time instant. The optimization problem ends as soon as the objective has been achieved or a time limit has been reached. Cases when dynamic programming can be used to determine the optimal control even if the service time is not exponentially distributed are presented.","PeriodicalId":39422,"journal":{"name":"WSEAS Transactions on Systems and Control","volume":"140 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Reducing the Size of a Waiting Line Optimally\",\"authors\":\"Mario Lefebvre\",\"doi\":\"10.37394/23203.2023.18.35\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The problem of reducing the number of customers waiting for service in a modifiedM/G/k queueing model is considered. We assume that the optimizer can decide how many servers are working at any time instant. The optimization problem ends as soon as the objective has been achieved or a time limit has been reached. Cases when dynamic programming can be used to determine the optimal control even if the service time is not exponentially distributed are presented.\",\"PeriodicalId\":39422,\"journal\":{\"name\":\"WSEAS Transactions on Systems and Control\",\"volume\":\"140 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-10-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"WSEAS Transactions on Systems and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37394/23203.2023.18.35\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"WSEAS Transactions on Systems and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/23203.2023.18.35","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
The problem of reducing the number of customers waiting for service in a modifiedM/G/k queueing model is considered. We assume that the optimizer can decide how many servers are working at any time instant. The optimization problem ends as soon as the objective has been achieved or a time limit has been reached. Cases when dynamic programming can be used to determine the optimal control even if the service time is not exponentially distributed are presented.
期刊介绍：
WSEAS Transactions on Systems and Control publishes original research papers relating to systems theory and automatic control. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with systems theory, dynamical systems, linear and non-linear control, intelligent control, robotics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.
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