Minimality of SRPT Networks With Resource Sharing

Author:

Gieroba Robert1,Kruk Łukasz1

Affiliation:

1. Department of Mathematics, Maria Curie-skłodowska University, Pl. Marii Curie-skłodowskiej 1, 20-031 Lublin, Poland

Abstract

A general multi-resource network with users requiring service from a number of shared resources simultaneously is considered. It is demonstrated that the Shortest Remaining Processing Time (SRPT) service protocol minimizes, in a suitable sense, the system resource idleness with respect to customers with residual service times not greater than any threshold value on every network route. Our arguments are pathwise, with no assumptions on the model stochastic primitives and the network topology.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

Reference20 articles.

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Local edge minimality of SRPT networks with shared resources;Mathematical Methods of Operations Research;2022-10-07

2. Instability of SRPT, SERPT and SJF multiclass queueing networks;Queueing Systems;2022-01-17

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