Exclusive queueing model including the choice of service windows

被引:3
|
作者
Tanaka, Masahiro [1 ]
Yanagisawa, Daichi [1 ,2 ]
Nishinari, Katsuhiro [1 ,2 ]
机构
[1] Univ Tokyo, Sch Engn, Dept Aeronaut & Astronaut, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1138656, Japan
[2] Univ Tokyo, Res Ctr Adv Sci & Technol, Meguro Ku, 4-6-1 Komaba, Tokyo 1538904, Japan
关键词
Choice of service windows; Asymmetric simple exclusion process; Queueing model; EXIT CHOICE; BEHAVIOR; OUTPUT;
D O I
10.1016/j.physa.2017.08.096
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In a queueing system involving multiple service windows, choice behavior is a significant concern. This paper incorporates the choice of service windows into a queueing model with a floor represented by discrete cells. We contrived a logit-based choice algorithm for agents considering the numbers of agents and the distances to all service windows. Simulations were conducted with various parameters of agent choice preference for these two elements and for different floor configurations, including the floor length and the number of service windows. We investigated the model from the viewpoint of transit times and entrance block rates. The influences of the parameters on these factors were surveyed in detail and we determined that there are optimum floor lengths that minimize the transit times. In addition, we observed that the transit times were determined almost entirely by the entrance block rates. The results of the presented model are relevant to understanding queueing systems including the choice of service windows and can be employed to optimize facility design and floor management. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:1481 / 1492
页数:12
相关论文
共 50 条
  • [1] A vacation queueing model with service breakdowns
    Gray, WJ
    Wang, PP
    Scott, M
    APPLIED MATHEMATICAL MODELLING, 2000, 24 (5-6) : 391 - 400
  • [2] Queueing Model with Gated Service and Adaptive Vacations
    Vishnevsky, Vladimir
    Semenova, Olga
    Dudin, Alexander
    Klimenok, Valentina
    2009 IEEE INTERNATIONAL CONFERENCE ON COMMUNICATION WORKSHOPS, VOLS 1 AND 2, 2009, : 95 - 99
  • [3] Erlang Service Queueing Model with Fuzzy Parameters
    Suvitha, V.
    Visalakshi, V.
    11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS, 2019, 2112
  • [5] A queueing model with varying service rate for ABR
    Núñez-Queija, R
    COMPUTER PERFORMANCE EVALUATION: MODELLING TECHNIQUES AND TOOLS, 1998, 1469 : 93 - 104
  • [6] Critical behavior of the exclusive queueing process
    Arita, Chikashi
    Schadschneider, Andreas
    EPL, 2013, 104 (03)
  • [7] Dynamical analysis of the exclusive queueing process
    Arita, Chikashi
    Schadschneider, Andreas
    PHYSICAL REVIEW E, 2011, 83 (05):
  • [8] Exclusive Queueing Process with Discrete Time
    Arita, Chikashi
    Yanagisawa, Daichi
    JOURNAL OF STATISTICAL PHYSICS, 2010, 141 (05) : 829 - 847
  • [9] The dynamics of waiting: the exclusive queueing process
    Arita, Chikashi
    Schadschneider, Andreas
    CONFERENCE ON PEDESTRIAN AND EVACUATION DYNAMICS 2014 (PED 2014), 2014, 2 : 87 - 95
  • [10] Exclusive Queueing Process with Discrete Time
    Chikashi Arita
    Daichi Yanagisawa
    Journal of Statistical Physics, 2010, 141 : 829 - 847