240
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Bayesian Inference and Prediction in an M/G/1 with Optional Second Service

&
Pages 419-435 | Received 14 Sep 2010, Accepted 11 May 2011, Published online: 19 Oct 2011

References

  • Allen , A. O. ( 1990 ). Probability, Statistics and Queueing Theory with Computer Science Applications . Boston : Academic Press .
  • Armero , C. , Bayarri , M. J. ( 1994a ). Bayesian prediction in M/M/1 queues . Queueing Systems 15 : 401 – 417 .
  • Armero , C. , Bayarri , M. J. ( 1994b ). Prior assessments for prediction in queues . Statistician 43 ( 1 ): 139 – 153 .
  • Ausin , M. C. , Wiper , M. P. ( 2007a ). Bayesian control of the number of servers in a GI/M/c queueing system . Journal of Statistical Planning and Inference 137 : 3043 – 3057 .
  • Ausin , M. C. , Wiper , M. P. , Lillo , R. E. ( 2007b ). Bayesian prediction of the transient behaviour and busy period in short- and long-tailed GI/G/1 queueing systems . Computational Statistics & Data Analysis 52 : 1615 – 1635 .
  • Ausin , M. C. , Wiper , M. P. , Lillo , R. E. ( 2004 ). Bayesian estimation for the M/G/1 queue using a phase type approximation . Journal of Statistical Planning and Inference 118 : 83 – 101 .
  • Cappé , O. , Robert , C. P. , Rydén , T. ( 2003 ). Reversible jump MCMC converging to birth-and-death MCMC and more general continuous time samplers . Journal of Royal Statistical Society Series B 65 : 679 – 700 .
  • Diebolt , J. , Robert , C. P. ( 1994 ). Estimation of finite mixture distributions through Bayesian sampling . Journal of Royal Statistical Society B 56 : 363 – 375 .
  • Green , P. ( 1995 ). Reversible jump MCMC computation and Bayesian model determination . Biometrika 82 : 711 – 732 .
  • Richardson , S. , Green , P. ( 1997 ). On Bayesian analysis of mixtures with an unknown number of components . Journal of the Royal Statististical Society B 59 : 731 – 792 .
  • Rios , D. , Wiper , M. P. , Ruggeri , F. ( 1998 ). Bayesian analysis of M/Er/1 and M/Hk/1 queues . Queueing Systems 30 : 289 – 308 .
  • Robert , C. P. ( 1996 ). Mixtures of distributions: Inference and estimation . In: Gilks , W. R. , Richardson , S. , Spiegelhalter , D. J. , eds. Markov Chain Monte Carlo in Practice . London : Chapman and Hall , pp. 441 – 464 .
  • Salehi-Rad , M. R. , Mengersen , K. ( 2002 ). Reservicing Some Customers in M/G/1 Queues, Under Two Disciplines. Advances in Statestics, Combinatorics and Related Areas . New Jersey : World Scientific Publishing, pp. 267–274 .
  • Salehi-Rad , M. R. , Mengersen , K. , Shahkar , G. H. ( 2004 ). Reservicing some customers in M/G/1 queues, under three disciplines . International Journal of Mathematics and Mathematical Sciences 32 : 1715 – 1723 .
  • Stephens , M. ( 2000a ). Bayesian analysis of mixture models with an unknown number of components an alternative to reversible jump methods . Annals of Statistics 28 : 40 – 74 .
  • Stephens , M. ( 2000b ). Dealing with label switching in mixture models . Journal of Royal Statistical Society B 62 ( 4 ): 795 – 809 .
  • Tierney , L. ( 1994 ). Markov chains for exploring posterior distributions . Annals of Statistics 22 : 1701 – 1728 .
  • Wiper , M. P. , Rios , D. , Ruggeri , F. ( 2001 ). Mixtures of gamma distributions with applications . Journal of Computer Graphical Statistics 10 : 440 – 454 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.