{"title":"灾难发生时使用三个节点的带预备 Wօrk 和回馈的 M/M/1 队列网络研究","authors":"S. Shanmugasundaram","doi":"10.52783/cana.v31.853","DOIUrl":null,"url":null,"abstract":"In this paper we study M/M/1 open queueing network with instantaneous Bernoulli feedback and preparatory work with three nodes when catastrophe occurs. We derive n number of customers in the system, queue length (all three nodes), system length and system time. The numerical examples are given to test the feasibility of the model.","PeriodicalId":40036,"journal":{"name":"Communications on Applied Nonlinear Analysis","volume":" 29","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Study on M/M/1 Queueing Netwօrk with Preparatory Wօrk and Feeback using Three Nodes when Catastrophe Occurs\",\"authors\":\"S. Shanmugasundaram\",\"doi\":\"10.52783/cana.v31.853\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we study M/M/1 open queueing network with instantaneous Bernoulli feedback and preparatory work with three nodes when catastrophe occurs. We derive n number of customers in the system, queue length (all three nodes), system length and system time. The numerical examples are given to test the feasibility of the model.\",\"PeriodicalId\":40036,\"journal\":{\"name\":\"Communications on Applied Nonlinear Analysis\",\"volume\":\" 29\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications on Applied Nonlinear Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.52783/cana.v31.853\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications on Applied Nonlinear Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52783/cana.v31.853","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
摘要
本文研究了具有瞬时伯努利反馈的 M/M/1 开放式排队网络,以及灾难发生时三个节点的准备工作。我们推导出系统中的 n 个客户数、队列长度(所有三个节点)、系统长度和系统时间。我们给出了数值示例来检验模型的可行性。
Study on M/M/1 Queueing Netwօrk with Preparatory Wօrk and Feeback using Three Nodes when Catastrophe Occurs
In this paper we study M/M/1 open queueing network with instantaneous Bernoulli feedback and preparatory work with three nodes when catastrophe occurs. We derive n number of customers in the system, queue length (all three nodes), system length and system time. The numerical examples are given to test the feasibility of the model.