A many-server fluid limit for the Gt/GI/st + GI queueing model experiencing periods of overloading

被引：32

作者：

Liu, Yunan

Whitt, Ward

机构：

[1] N Carolina State Univ, Dept Ind & Syst Engn, Raleigh, NC 27695 USA

[2] Columbia Univ, Dept Ind Engn & Operat Res, New York, NY 10027 USA

来源：

OPERATIONS RESEARCH LETTERS | 2012年 / 40卷 / 05期

基金：

美国国家科学基金会;

关键词：

Many-server heavy-traffic limit; Functional weak law of large numbers; Queues with time-varying arrivals; Nonstationary queues; Deterministic fluid model; Non-Markovian queues; HEAVY-TRAFFIC LIMITS; QUEUES;

D O I：

10.1016/j.orl.2012.05.010

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

A many-server heavy-traffic functional weak law of large numbers is established for the G(t)/GI/s(t) + GI queueing model, which has customer abandonment (the +GI), time-varying arrival rate and staffing (the subscript t) and non-exponential service and patience distributions (the two GI's). This limit provides support for a previously proposed deterministic fluid approximation, and extends a previously established limit for the special case of exponential service times. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：307 / 312

页数：6

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