{"title":"随机环境下双串优先队列系统分析","authors":"Aarti Saini, Deepak Gupta, Tripathi A K","doi":"10.14445/22315373/ijmtt-v69i5p505","DOIUrl":null,"url":null,"abstract":"- This paper makes an effort to analyze Priority Queue Network model having two Bi-Tandem parallel servers linked in series to a central server. The different queue characteristics are derived using statistical techniques and the law of calculus. Time - independent solution of the system is derived by using Generating Function and Partial Generating Functions techniques. Poisson law is assumed to be followed by the arrival rates and services. The Performance of the model have been studied in stochastic environment. Mathematical formulation of the present model ensures implementation of proposed model in various real-world problems.","PeriodicalId":231515,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analysis of Bi-Tandem Priority Queue System in Stochastic Environment\",\"authors\":\"Aarti Saini, Deepak Gupta, Tripathi A K\",\"doi\":\"10.14445/22315373/ijmtt-v69i5p505\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"- This paper makes an effort to analyze Priority Queue Network model having two Bi-Tandem parallel servers linked in series to a central server. The different queue characteristics are derived using statistical techniques and the law of calculus. Time - independent solution of the system is derived by using Generating Function and Partial Generating Functions techniques. Poisson law is assumed to be followed by the arrival rates and services. The Performance of the model have been studied in stochastic environment. Mathematical formulation of the present model ensures implementation of proposed model in various real-world problems.\",\"PeriodicalId\":231515,\"journal\":{\"name\":\"International Journal of Mathematics Trends and Technology\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-05-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mathematics Trends and Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.14445/22315373/ijmtt-v69i5p505\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematics Trends and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14445/22315373/ijmtt-v69i5p505","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analysis of Bi-Tandem Priority Queue System in Stochastic Environment
- This paper makes an effort to analyze Priority Queue Network model having two Bi-Tandem parallel servers linked in series to a central server. The different queue characteristics are derived using statistical techniques and the law of calculus. Time - independent solution of the system is derived by using Generating Function and Partial Generating Functions techniques. Poisson law is assumed to be followed by the arrival rates and services. The Performance of the model have been studied in stochastic environment. Mathematical formulation of the present model ensures implementation of proposed model in various real-world problems.