{"title":"具有单个多服务器瓶颈的 D/D/S 系列队列的周期时间","authors":"Lonnie Turpin, Morgan Turpin","doi":"10.1007/s10626-023-00392-w","DOIUrl":null,"url":null,"abstract":"<p>In this work, we consider D/D/<i>S</i> series queues characterized by deterministic interarrival and service times, with a single multi-server bottleneck stage. When the arrival rate is greater than the bottleneck capacity—for a temporary window of time—the derivation of cycle time is not immediately clear, and warrants a formal proof.</p>","PeriodicalId":92890,"journal":{"name":"Discrete event dynamic systems","volume":"81 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cycle times in D/D/S series queues with single multi-server bottlenecks\",\"authors\":\"Lonnie Turpin, Morgan Turpin\",\"doi\":\"10.1007/s10626-023-00392-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this work, we consider D/D/<i>S</i> series queues characterized by deterministic interarrival and service times, with a single multi-server bottleneck stage. When the arrival rate is greater than the bottleneck capacity—for a temporary window of time—the derivation of cycle time is not immediately clear, and warrants a formal proof.</p>\",\"PeriodicalId\":92890,\"journal\":{\"name\":\"Discrete event dynamic systems\",\"volume\":\"81 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-02-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discrete event dynamic systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s10626-023-00392-w\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete event dynamic systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s10626-023-00392-w","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Cycle times in D/D/S series queues with single multi-server bottlenecks
In this work, we consider D/D/S series queues characterized by deterministic interarrival and service times, with a single multi-server bottleneck stage. When the arrival rate is greater than the bottleneck capacity—for a temporary window of time—the derivation of cycle time is not immediately clear, and warrants a formal proof.
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