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Original Articles

Best Unbiased Estimation and CAN Property in the Stable M/M/1 Queue

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Pages 321-327 | Received 11 Oct 2010, Accepted 20 Jan 2012, Published online: 01 Aug 2013

References

  • Armero , C. , Bayarri , M. J. ( 1999 ). Dealing with uncertainties in queues and networks of queues: A Bayesian approach . In: Ghosh , S. , ed. Multivariate, Design and Sampling . New York : Marcel Dekker, Inc. , pp. 579 – 608 .
  • Armero , C. , Conesa , D. ( 1998 ). Inference and prediction in bulk arrival queues and queues with service in stages . Appl. Stoch. Mod. Data Anal. 14 : 35 – 46 .
  • Armero , C. , Conesa , D. ( 2000 ). Prediction in Markovian bulk arrival queues . Queueing Syst. 34 : 327 – 350 .
  • Ausin , M. C. , Wiper , M. P. , Lillo , R. E. ( 2008 ). Transient Bayesian inference for short and long-tailed GI/G/1 queueing systems. Statistics and Econometrics Series 05, Universidad Carlos III De Madrid. Working article 05-35 .
  • Bhat , U. N. , Subba Rao , S. ( 1987 ). Statistical analysis of queueing systems . Queueing Syst. 1 : 217 – 247 .
  • Bhat , U. N. , Miller , G. K. , Subba Rao , S. ( 1997 ). Statistical analysis of queueing systems . In: Dshalalow , J. H. , ed. Frontiers in Queueing-Models and Applications in Science and Engineering . Boca Raton , FL : CRC Press .
  • Butler , R. W. , Huzurbazaar , A. V. ( 2000 ). Bayesian prediction of waiting times in stochastic models . Can. J. Statist. 28 : 311 – 325 .
  • Choudhury , A. , Borthakur , A. C. ( 2008 ). Bayesian inference and prediction in the single server Markovian queue . Metrika 67 : 371 – 383 .
  • Conti , P. L. ( 1998 ). Large sample Bayesian analysis for Geo/G/1 discrete time queueing models. Technical report, Dipartmento di Statistica, Probabilitia e Statistiche Applicate, Universita di Roma “La Sapienza.”
  • Gross , D. , Harris , C. M. ( 1985 ). Fundamentals of Queueing Theory. , 2nd ed. New York : John Wiley and Sons .
  • Huang , M. L. , Brill , P. ( 2001 ). On estimation in M/G/C/C queues . Int. Trans. Operat. Res. 8 : 647 – 657 .
  • Jayakrishna Udupa , H. ( 2009 ). Estimation of steady state probability distribution of system size in M/M/1 queue, Mapana . J. Sci. 8 ( 2 ): 20 – 28 .
  • Kale , B. K. ( 2005 ). A First Course in Parametric Inference. , 2nd ed. New Delhi : Narosa Publishing House .
  • Kiessler , P. C. , Lund , R. ( 2009 ). Technical note: Traffic intensity estimation . Nav. Res. Logist. 56 : 385 – 387 .
  • Mukherjee , S. P. , Chowdhury , S. ( 2005 ). Bayesian estimation of traffic intensity . IAPQR transactions 30 ( 2 ): 89 – 100 .
  • Patel , J. , Kapadia , C. H. , Owen , D. B. ( 1976 ). Handbook of Statistical Distributions . New York : Marcel Dekker .
  • Ramirez , P. , Lilla , R. E. , Wiper , M. P. ( 2008 ). Bayesian analysis of a queueing system with a long-tailed arrival process . Commun. Statist. Simul. Computat. 37 : 697 – 712 .
  • Ramirez , P. , Lillo , R. E. , Wiper , M. P. ( 2008a ). Inference for double Pareto lognormal queues with applications. Statistics and Econometrics Series 02, Universidad Carlos III De Madrid. Working article 08-04 .
  • Rio Insua , D. , Wiper , M. , Ruggieri , F. ( 1998 ). Bayesian analysis of M/E r /1 and E K /M/1 queues . Queueing Syst. 30 : 289 – 308 .
  • Sharma , K. K. , Kumar , V. ( 1999 ). Inference on M/M/1: (∞: FIFO) queue systems . Opsearch 36 ( 1 ): 26 – 34 .
  • Srinivas , V. , Subba Rao , S. , Kale , B. K. ( 2011 ). Estimation of measures in M/M/1 queue . Commun. Statist. Theor. Meth. 40 ( 18 ): 3327 – 3336 .
  • Zheng , S. , Seila , A. F. ( 2000 ). Some well-behaved estimators for the M/M/1 queue . Operat. Res. Lett. 26 ( 5 ): 231 – 235 .

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