Bayesian hierarchical models in manufacturing bulk service queues

DOI10.1016/j.jspi.2004.07.007zbMath1098.62028OpenAlexW2030982814MaRDI QIDQ2581885

David Conesa, Carmen Armero

Publication date: 10 January 2006

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2004.07.007

zbMATH Keywords

simulationnumerical inversion of transformsbulk service queuescongestion in manufacturing systemshierarchial Bayesian analysisMarkov Chain Monte Carlo integration

Mathematics Subject Classification ID

Bayesian inference (62F15) Applications of statistics in engineering and industry; control charts (62P30) Markov processes: estimation; hidden Markov models (62M05) Queueing theory (aspects of probability theory) (60K25) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (6)

Statistical performance of a multiclass bulk production queueing system ⋮ Bayesian inference and prediction in an M/D/1 queueing system ⋮ Nonparametric estimation for multi-server queues based on the number of clients in the system ⋮ Bayesian estimation of traffic intensity based on queue length in a multi-server M/M/s queue ⋮ Traffic intensity estimation in finite Markovian queueing systems ⋮ Simple and yet efficient estimators for Markovian multiserver queues

Uses Software

• CODA
• WinBUGS
• BayesDA
• Algorithm 368

Cites Work

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• Some thoughts on empirical Bayes estimation
• Statistical decision theory and Bayesian analysis. 2nd ed
• The Fourier-series method for inverting transforms of probability distributions
• Empirical Bayes estimation for queueing systems and networks
• Bayesian analysis of \(M/Er/1\) and \(M/H_k/1\) queues
• Bayesian analysis of \(Er/M/1\) and \(Er/M/c\) queues
• Bayesian prediction in \(M/M/1\) queues
• Prediction in Markovian bulk arrival queues
• Computational analysis of steady-state probabilities of \(M/G^{a,b}/1\) and related nonbulk queues
• Empirical Bayesian analysis for traffic intensity: \(M/M/1\) queues with covariates
• The Inversion of the Laplace Integral and the Related Moment Problem
• Robust design of server capability in M/M/1 queues with both partly random arrival and service rates

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