{"title":"Elaborated Analysis of a Nonreplenishable Queue with Erlang Distribution of the Service Time","authors":"Alexander M. Andronov, Kristina Mahareva","doi":"10.3103/S0146411624010024","DOIUrl":null,"url":null,"abstract":"<p>The present paper considers a service system without the input flow of claims, that is, all claims are present in the queue initially from the beginning. The number of such claims equals Θmax, whereas the number of servers equals <i>k</i>. The time of one service has the Erlang distribution. The paper aims to calculate the time distribution until the completion of all services, as well as the average waiting time of one claim.</p>","PeriodicalId":46238,"journal":{"name":"AUTOMATIC CONTROL AND COMPUTER SCIENCES","volume":"58 1","pages":"1 - 10"},"PeriodicalIF":0.6000,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"AUTOMATIC CONTROL AND COMPUTER SCIENCES","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.3103/S0146411624010024","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
The present paper considers a service system without the input flow of claims, that is, all claims are present in the queue initially from the beginning. The number of such claims equals Θmax, whereas the number of servers equals k. The time of one service has the Erlang distribution. The paper aims to calculate the time distribution until the completion of all services, as well as the average waiting time of one claim.
期刊介绍：
Automatic Control and Computer Sciences is a peer reviewed journal that publishes articles on• Control systems, cyber-physical system, real-time systems, robotics, smart sensors, embedded intelligence • Network information technologies, information security, statistical methods of data processing, distributed artificial intelligence, complex systems modeling, knowledge representation, processing and management • Signal and image processing, machine learning, machine perception, computer vision
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