随机环境下双串优先队列系统分析

Aarti Saini, Deepak Gupta, Tripathi A K
{"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}
引用次数: 0

摘要

本文研究了具有两台双串联并行服务器串联到一个中心服务器的优先队列网络模型。利用统计技术和微积分定律推导出不同的队列特征。利用生成函数和部分生成函数技术,导出了系统的时间无关解。假定到达率和服务遵循泊松定律。研究了该模型在随机环境下的性能。该模型的数学公式保证了该模型在各种现实问题中的实现。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
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.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Common Neighbourhood Eccentric Dominating and Its Energy of Graphs 𝕋-Relative Fuzzy Linear Programming Percentiles of Exponentiated Generalized Inverse Rayleigh Distribution in Double Sampling Plan Modified Domination and Domination Banhatti Indices of Some Chemical Drugs An Automated Statistical Learning Trading Model, Based on a Prior Data Study of the U.S. Markets from 1929 to 2019
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1