Some asymptotic properties of the Erlang-C formula in many-server limiting regimes

被引：0

作者：

Gopalakrishnan, Ragavendran ^{[1
]}

Zhong, Yueyang ^{[2
]}

机构：

[1] Queens Univ, Smith Sch Business, 143 Union St West, Kingston, ON K7L 3N6, Canada

[2] Univ Chicago, Booth Sch Business, 5807 S Woodlawn Ave, Chicago, IL 60637 USA

来源：

OPERATIONS RESEARCH LETTERS | 2024年 / 54卷

关键词：

Many-server queues; Erlang-C; Asymptotic analysis; Optimal staffing; TELEPHONE CALL CENTER; DELAY;

D O I：

10.1016/j.orl.2024.107116

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：

This paper presents asymptotic properties of the Erlang-C formula in a spectrum of many-server limiting regimes. Specifically, we address an important gap in the literature regarding its limiting value in critically loaded regimes by studying extensions of the well-known square-root safety staffing rule used in the Quality-and-Efficiency-Driven (QED) regime. (c) 2024 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons .org /licenses /by-nc -nd /4 .0/).

引用

页数：8

共 10 条

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OPERATIONS RESEARCH LETTERS, 2016, 44 (03) : 359 - 365
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Weerasinghe, Ananda
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QUEUEING SYSTEMS, 2013, 75 (2-4) : 279 - 337
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DALEY, DJ
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JOURNAL OF APPLIED PROBABILITY, 1984, 21 (04) : 887 - 900
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Long, Zhenghua
Shimkin, Nahum
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OPERATIONS RESEARCH, 2020, 68 (04) : 1218 - 1230

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