A note on the sojourn time distribution of an M/G/1 queue with a single working vacation and vacation interruption

被引：7
|
作者：
Lee, Doo Ho [1 ]
Kim, Bo Keun [2 ]
机构：
[1] ETRI, Software Contents Lab, Daejeon 305700, South Korea
[2] Samsung SDS, SCM Consulting Grp 2, Songnam 463710, Gyeonggi Do, South Korea
来源：
OPERATIONS RESEARCH PERSPECTIVES | 2015年 / 2卷
关键词：
M/G/1; queue; Single working vacation; Vacation interruption; Sojourn time; Laplace-Stieltjes transform;
D O I：
10.1016/j.orp.2015.01.002
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：
We study the paper of Gao and Liu (2013). In the paper, the authors pay little attention to the customer's sojourn time in their model although both the queue length and the busy cycle are seriously analyzed. The objective of this note is to derive the sojourn time distribution of Gao and Liu's model without considering Bernoulli schedule. A simple numerical example is also given to demonstrate our result. (c) 2015 The Authors. Published by Elsevier Ltd.
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页码：57 / 61
页数：5
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