Parametric Optimization of Packet Transmission with Resending Packets Mechanism

Q3 Mathematics SPIIRAS Proceedings Pub Date : 2019-07-31 DOI:10.15622/SP.2019.18.4.809-830
N. Kuznetsov, K. Semenikhin
{"title":"Parametric Optimization of Packet Transmission with Resending Packets Mechanism","authors":"N. Kuznetsov, K. Semenikhin","doi":"10.15622/SP.2019.18.4.809-830","DOIUrl":null,"url":null,"abstract":"The data transmission process is modelled by a Markov closed queuing network, which consists of two stations. The primary station describes the process of sending packets over a lossy channel by means of a finite and single-channel queue. The auxiliary station, being a multichannel queuing system, accumulates packets lost by the primary station and forwards them back for retrial. The transmission rate at the primary station and the retrial rate at the auxiliary station are in the specified ranges and are subject to optimization in order to minimize the time of successful delivery and the amount of network resources used. The explicit expressions for these characteristics are derived in the steady-state mode in order to formulate the problem of bi-criterion optimization. The optimal policies are established in two scenarios: the first problem is to minimize the average time of successful transmission with limited resources; the second problem is to minimize the consumption of network resources under the constraint on the time for successful transmission. The set of Pareto-optimal policies is obtained by solving the problem of minimization of the augmented functional. The quality characteristics of approximate solutions that do not take into account the service rate in the auxiliary system are analyzed.","PeriodicalId":53447,"journal":{"name":"SPIIRAS Proceedings","volume":"80 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"SPIIRAS Proceedings","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15622/SP.2019.18.4.809-830","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 2

Abstract

The data transmission process is modelled by a Markov closed queuing network, which consists of two stations. The primary station describes the process of sending packets over a lossy channel by means of a finite and single-channel queue. The auxiliary station, being a multichannel queuing system, accumulates packets lost by the primary station and forwards them back for retrial. The transmission rate at the primary station and the retrial rate at the auxiliary station are in the specified ranges and are subject to optimization in order to minimize the time of successful delivery and the amount of network resources used. The explicit expressions for these characteristics are derived in the steady-state mode in order to formulate the problem of bi-criterion optimization. The optimal policies are established in two scenarios: the first problem is to minimize the average time of successful transmission with limited resources; the second problem is to minimize the consumption of network resources under the constraint on the time for successful transmission. The set of Pareto-optimal policies is obtained by solving the problem of minimization of the augmented functional. The quality characteristics of approximate solutions that do not take into account the service rate in the auxiliary system are analyzed.
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
基于重发包机制的分组传输参数优化
数据传输过程采用马尔可夫封闭排队网络建模,该网络由两个站点组成。主站描述了通过有限的单通道队列在有损通道上发送数据包的过程。辅助站是一个多通道排队系统,它收集主站丢失的数据包,并将它们转发回来进行重审。所述主站的传输速率和所述辅助站的重传速率均在规定的范围内,并进行优化,以使成功传输的时间和所使用的网络资源量最小。在稳态模式下,导出了这些特性的显式表达式,从而形成了双准则优化问题。在两种情况下建立了最优策略:第一个问题是在有限资源下最小化成功传输的平均时间;第二个问题是在传输成功时间的约束下,最小化网络资源的消耗。通过求解增广泛函的最小化问题,得到了pareto最优策略集。分析了辅助系统中不考虑服务率的近似解的质量特性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
SPIIRAS Proceedings
SPIIRAS Proceedings Mathematics-Applied Mathematics
CiteScore
1.90
自引率
0.00%
发文量
0
审稿时长
14 weeks
期刊介绍: The SPIIRAS Proceedings journal publishes scientific, scientific-educational, scientific-popular papers relating to computer science, automation, applied mathematics, interdisciplinary research, as well as information technology, the theoretical foundations of computer science (such as mathematical and related to other scientific disciplines), information security and information protection, decision making and artificial intelligence, mathematical modeling, informatization.
期刊最新文献
Applied Aspects of Optimization of Orbital Structures of Satellite Systems by Specifying Parameters of Orbital Motion Mathematical Modeling of Optimal Measures to Counter Economic Sanctions Methodology for Development of Event-driven Software Systems using CIAO Specification Language Complex of Models for Network Security Assessment of Industrial Automated Control Systems Automated Search for Locations of Detention Groups to Reduce Security Activity Risk
×
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