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.
引用
收藏
页码：57 / 61
页数：5
相关论文
共 50 条
  • [21] On impatience in Markovian M/M/1/N/DWV queue with vacation interruption
    Bouchentouf, Amina Angelika
    Guendouzi, Abdelhak
    Majid, Shakir
    CROATIAN OPERATIONAL RESEARCH REVIEW, 2020, 11 (01) : 21 - 37
  • [22] The GI/M/1 queue with phase-type working vacations and vacation interruption
    Chen, Hai-Yan
    Li, Ji-Hong
    Tian, Nai-Shuo
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2009, 30 (1-2) : 121 - 141
  • [23] Discrete-Time GeoX/G/1 Retrial Queue with General Retrial Times, Working Vacations and Vacation Interruption
    Gao, Shan
    Wang, Jinting
    QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2013, 10 (04): : 495 - 512
  • [24] Performance analysis of a GI/M/1 queue with single working vacation
    Li, Jihong
    Tian, Naishuo
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (10) : 4960 - 4971
  • [25] Equilibrium balking strategies in Markovian queues with a single working vacation and vacation interruption
    Lee, Doo Ho
    QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2019, 16 (03): : 355 - 376
  • [26] Geo/Geo/1 retrial queue with working vacations and vacation interruption
    Li, Tao
    Wang, Zhizhong
    Liu, Zaiming
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2012, 39 (1-2) : 131 - 143
  • [27] Geo/Geo/1 retrial queue with working vacations and vacation interruption
    Tao Li
    Zhizhong Wang
    Zaiming Liu
    Journal of Applied Mathematics and Computing, 2012, 39 (1-2) : 131 - 143
  • [28] The M/M/1 queue with working vacations and vacation interruptions
    Li, Jihong
    Tian, Naishuo
    JOURNAL OF SYSTEMS SCIENCE AND SYSTEMS ENGINEERING, 2007, 16 (01) : 121 - 127
  • [29] The GI/Geo/1 queue with Bernoulli-schedule-controlled vacation and vacation interruption
    Tao, Li
    Zhang, Liyuan
    Xu, Xuanhua
    Gao, Shan
    COMPUTERS & OPERATIONS RESEARCH, 2013, 40 (07) : 1680 - 1692
  • [30] M/M/1 RETRIAL QUEUE WITH COLLISIONS AND WORKING VACATION INTERRUPTION UNDER N-POLICY
    Tao, Li
    Liu, Zaiming
    Wang, Zhizhong
    RAIRO-OPERATIONS RESEARCH, 2012, 46 (04) : 355 - 371
12345