Bayesian hierarchical models in manufacturing bulk service queues

被引:15
|
作者
Armero, C [1 ]
Conesa, D [1 ]
机构
[1] Univ Valencia, Dept Stat & Operat Res, E-46100 Burjassot, Valencia, Spain
关键词
hierarchical Bayesian analysis; bulk service queues; congestion in manufacturing systems; Markov chain Monte Carlo integration; numerical inversion of transforms; simulation;
D O I
10.1016/j.jspi.2004.07.007
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper, Queueing Theory and Bayesian statistical tools are used to analyze the congestion of various manufacturing bulk service queues with the same characteristics that are working independently of one another and in equilibrium. Hierarchical models are discussed in order to develop the whole inferential process for the parameters governing the system. Markov Chain Monte Carlo methods and numerical inversion of transforms are addressed to compute the posterior predictive distributions of the usual measures of performance in practice. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:335 / 354
页数:20
相关论文
共 50 条
  • [21] AUC Maximization in Bayesian Hierarchical Models
    Gonen, Mehmet
    ECAI 2016: 22ND EUROPEAN CONFERENCE ON ARTIFICIAL INTELLIGENCE, 2016, 285 : 21 - 27
  • [22] Aspects of Bayesian robustness in hierarchical models
    Gustafson, P
    BAYESIAN ROBUSTNESS, 1996, 29 : 63 - 80
  • [23] Bayesian hierarchical models for linear networks
    Al-kaabawi, Zainab
    Wei, Yinghui
    Moyeed, Rana
    JOURNAL OF APPLIED STATISTICS, 2022, 49 (06) : 1421 - 1448
  • [24] Criterion constrained Bayesian hierarchical models
    Qingying Zong
    Jonathan R. Bradley
    TEST, 2023, 32 : 294 - 320
  • [25] Bayesian Hierarchical Models for Subgroup Analysis
    Wang, Yun
    Tu, Wenda
    Koh, William
    Travis, James
    Abugov, Robert
    Hamilton, Kiya
    Zheng, Mengjie
    Crackel, Roberto
    Bonangelino, Pablo
    Rothmann, Mark
    PHARMACEUTICAL STATISTICS, 2024, 23 (06) : 1065 - 1083
  • [26] Bayesian Hierarchical Models for Counterfactual Estimation
    Raman, Natraj
    Magazzeni, Daniele
    Shah, Sameena
    INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND STATISTICS, VOL 206, 2023, 206
  • [27] BAYESIAN DESIGNS FOR HIERARCHICAL LINEAR MODELS
    Liu, Qing
    Dean, Angela M.
    Allenby, Greg M.
    STATISTICA SINICA, 2012, 22 (01) : 393 - 417
  • [28] ITERATIVE ALGORITHMS FOR BULK ARRIVAL, BULK SERVICE QUEUES WITH POISSON AND NON-POISSON ARRIVALS
    POWELL, WB
    TRANSPORTATION SCIENCE, 1986, 20 (02) : 65 - 79
  • [29] Decay parameter for general stopped Markovian bulk-arrival and bulk-service queues
    Anyue Chen
    Junping Li
    Xiaohan Wu
    Jing Zhang
    Queueing Systems, 2021, 99 : 305 - 344
  • [30] Markovian bulk-arrival and bulk-service queues with state-dependent control
    Chen, Anyue
    Pollett, Phil
    Li, Junping
    Zhang, Hanjun
    QUEUEING SYSTEMS, 2010, 64 (03) : 267 - 304