具有无限多服务器的队列中AoI的概率分布

IEEE INFOCOM 2020 - IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS) Pub Date : 2020-07-01 DOI:10.1109/infocomwkshps50562.2020.9162968

Yoshiaki Inoue

{"title":"具有无限多服务器的队列中AoI的概率分布","authors":"Yoshiaki Inoue","doi":"10.1109/infocomwkshps50562.2020.9162968","DOIUrl":null,"url":null,"abstract":"In this paper, we derive an explicit expression for the probability distribution of the age of information (AoI) in the $\\mathrm{GI}/\\mathrm{GI}/\\infty$ queue with loss. Two special cases $\\mathrm{M}/\\mathrm{GI}/\\infty$ and $\\mathrm{D}/\\mathrm{GI}/\\infty$ are discussed, where the distribution function of the AoI is shown to take a simple closed-form. In addition, a comparison result between the $\\mathrm{M}/\\mathrm{GI}/\\infty$ and $\\mathrm{D}/\\mathrm{GI}/\\infty$ queues in terms of the AoI distribution is presented.","PeriodicalId":104136,"journal":{"name":"IEEE INFOCOM 2020 - IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS)","volume":"49 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"The Probability Distribution of the AoI in Queues with Infinitely Many Servers\",\"authors\":\"Yoshiaki Inoue\",\"doi\":\"10.1109/infocomwkshps50562.2020.9162968\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we derive an explicit expression for the probability distribution of the age of information (AoI) in the $\\\\mathrm{GI}/\\\\mathrm{GI}/\\\\infty$ queue with loss. Two special cases $\\\\mathrm{M}/\\\\mathrm{GI}/\\\\infty$ and $\\\\mathrm{D}/\\\\mathrm{GI}/\\\\infty$ are discussed, where the distribution function of the AoI is shown to take a simple closed-form. In addition, a comparison result between the $\\\\mathrm{M}/\\\\mathrm{GI}/\\\\infty$ and $\\\\mathrm{D}/\\\\mathrm{GI}/\\\\infty$ queues in terms of the AoI distribution is presented.\",\"PeriodicalId\":104136,\"journal\":{\"name\":\"IEEE INFOCOM 2020 - IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS)\",\"volume\":\"49 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE INFOCOM 2020 - IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/infocomwkshps50562.2020.9162968\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE INFOCOM 2020 - IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/infocomwkshps50562.2020.9162968","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 4

摘要

本文导出了具有损失的$\mathrm{GI}/\mathrm{GI}/\infty$队列中信息年龄(AoI)的概率分布的一个显式表达式。讨论了两个特殊情况$\mathrm{M}/\mathrm{GI}/\infty$和$\mathrm{D}/\mathrm{GI}/\infty$，其中AoI的分布函数显示为简单的封闭形式。此外，还给出了$\mathrm{M}/\mathrm{GI}/\infty$和$\mathrm{D}/\mathrm{GI}/\infty$队列在AoI分布方面的比较结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

The Probability Distribution of the AoI in Queues with Infinitely Many Servers

In this paper, we derive an explicit expression for the probability distribution of the age of information (AoI) in the $\mathrm{GI}/\mathrm{GI}/\infty$ queue with loss. Two special cases $\mathrm{M}/\mathrm{GI}/\infty$ and $\mathrm{D}/\mathrm{GI}/\infty$ are discussed, where the distribution function of the AoI is shown to take a simple closed-form. In addition, a comparison result between the $\mathrm{M}/\mathrm{GI}/\infty$ and $\mathrm{D}/\mathrm{GI}/\infty$ queues in terms of the AoI distribution is presented.

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

IEEE INFOCOM 2020 - IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS)

自引率

0.00%

发文量