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
  • [41] Bayesian hierarchical statistical SIRS models
    Zhuang, Lili
    Cressie, Noel
    STATISTICAL METHODS AND APPLICATIONS, 2014, 23 (04): : 601 - 646
  • [42] Markovian bulk-arrival and bulk-service queues with state-dependent control
    Anyue Chen
    Phil Pollett
    Junping Li
    Hanjun Zhang
    Queueing Systems, 2010, 64 : 267 - 304
  • [43] Hierarchical Bayesian models as formal models of causal reasoning
    Hagmayer, York
    Mayrhofer, Ralf
    ARGUMENT & COMPUTATION, 2013, 4 (01) : 36 - 45
  • [44] Bayesian hierarchical models for the prediction of the driver flow and passenger waiting times in a stochastic carpooling service
    Papoutsis, Panayotis
    Duong, Tarn
    Michel, Bertrand
    Philippe, Anne
    JOURNAL OF APPLIED STATISTICS, 2023, 50 (06) : 1310 - 1333
  • [45] Hierarchical modeling of stochastic manufacturing and service systems
    Zhe George ZHANG
    Xiaoling YIN
    Frontiers of Engineering Management, 2017, (03) : 295 - 303
  • [46] Hierarchical modeling of stochastic manufacturing and service systems
    Zhe George ZHANG
    Xiaoling YIN
    Frontiers of Engineering Management, 2017, 4 (03) : 295 - 303
  • [47] Markovian bulk-arrival and bulk-service queues with general state-dependent control
    Anyue Chen
    Xiaohan Wu
    Jing Zhang
    Queueing Systems, 2020, 95 : 331 - 378
  • [48] Markovian bulk-arrival and bulk-service queues with general state-dependent control
    Chen, Anyue
    Wu, Xiaohan
    Zhang, Jing
    QUEUEING SYSTEMS, 2020, 95 (3-4) : 331 - 378