Strategic bidding in a discrete accumulating priority queue

被引:5
作者
Abeywickrama, Raneetha [1 ]
Haviv, Moshe [2 ,3 ]
Oz, Binyamin [1 ,4 ]
Ziedins, Ilze [1 ]
机构
[1] Univ Auckland, Dept Stat, Auckland, New Zealand
[2] Hebrew Univ Jerusalem, Dept Stat, Jerusalem, Israel
[3] Hebrew Univ Jerusalem, Federmann Ctr Study Rat, Jerusalem, Israel
[4] Hebrew Univ Jerusalem, Sch Business Adm, Jerusalem, Israel
基金
以色列科学基金会;
关键词
Accumulating priority queue; Strategic behavior in queues; Equilibrium strategies;
D O I
10.1016/j.orl.2019.02.004
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 consider an unobservable M/G/1 accumulating priority queue where homogeneous customers choose one of a finite number of priority classes. We show that there are either one or two pure Nash equilibrium strategies. In the latter case they are two consecutive classes and there exists an equilibrium strategy mixing between these two classes. We find the best-response function and show that it is unimodal, with follow-the-crowd and avoid-the-crowd instances. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码:162 / 167
页数:6
相关论文
共 14 条
  • [1] [Anonymous], 2003, QUEUE NOT QUEUE EQUI
  • [2] [Anonymous], 2013, QUEUES COURSE QUEUEI
  • [3] PURCHASING PRIORITIES IN QUEUES
    BALACHANDRAN, KR
    [J]. MANAGEMENT SCIENCE SERIES A-THEORY, 1972, 18 (05): : 319 - 326
  • [4] STABLE PRIORITY PURCHASING IN QUEUES
    GLAZER, A
    HASSIN, R
    [J]. OPERATIONS RESEARCH LETTERS, 1986, 4 (06) : 285 - 288
  • [5] Equilibrium threshold strategies: The case of queues with priorities
    Hassin, R
    Haviv, M
    [J]. OPERATIONS RESEARCH, 1997, 45 (06) : 966 - 973
  • [6] Hassin R, 2016, Rational Queueing
  • [7] Strategic bidding in an accumulating priority queue: equilibrium analysis
    Haviv, Moshe
    Ravner, Liron
    [J]. ANNALS OF OPERATIONS RESEARCH, 2016, 244 (02) : 505 - 523
  • [8] TIME DEPENDENT PRIORITY QUEUES
    KLEINROCK, L
    FINKELSTEIN, RP
    [J]. OPERATIONS RESEARCH, 1967, 15 (01) : 104 - +
  • [9] Kleinrock L., 1964, Naval Res. Logist. Quart., V11, P329, DOI [DOI 10.1002/NAV.3800110306, 10.1002/nav.3800110306]
  • [10] Kleinrock L., 1976, Queueing systems