{"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}
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Abstract
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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