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P. J. Burke, “Proof of Conjecture on the Inter-Arrival Time Distribution in M/M/1 Queue with Feedback,” IEEE Transactions on Communications, Vol. 24, No. 5, 1976, pp. 175-178. doi:10.1109/TCOM.1976.1093335

has been cited by the following article:

• TITLE: Comparison of Different Confidence Intervals of Intensities for an Open Queueing Network with Feedback

  AUTHORS: Vinayak Kawaduji Gedam, Suresh Bajirao Pathare

  KEYWORDS: Coverage Percentage; Relative Coverage; Bayesian Bootstrap; Bias-Corrected and Accelerated Bootstrap; Percentile Bootstrap; Standard Bootstrap

  JOURNAL NAME: American Journal of Operations Research, Vol.3 No.2, March 29, 2013

  ABSTRACT: In this paper we propose a consistent and asymptotically normal estimator (CAN) of intensities ρ1 , ρ2 for a queueing network with feedback (in which a job may return to previously visited nodes) with distribution-free inter-arrival and service times. Using this estimator and its estimated variance, some 100(1-α)% asymptotic confidence intervals of intensities are constructed. Also bootstrap approaches such as Standard bootstrap, Bayesian bootstrap, Percentile bootstrap and Bias-corrected and accelerated bootstrap are also applied to develop the confidence intervals of intensities. A comparative analysis is conducted to demonstrate performances of the confidence intervals of intensities for a queueing network with short run data.