Maximum Likelihood Estimates and Confidence Intervals of an M/M/R Queue with Heterogeneous Servers

Tsung-Yin Wang, Jau-Chuan Ke, Kuo-Hsiung Wang () and Siu-Chuen Ho

Mathematical Methods of Operations Research, 2006, vol. 63, issue 2, 384 pages

Abstract: This paper studies maximum likelihood estimates as well as confidence intervals of an M/M/R queue with heterogeneous servers under steady-state conditions. We derive the maximum likelihood estimates of the mean arrival rate and the three unequal mean service rates for an M/M/3 queue with heterogeneous servers, and then extend the results to an M/M/R queue with heterogeneous servers. We also develop the confidence interval formula for the parameter ρ, the probability of empty system P 0 , and the expected number of customers in the system E[N], of an M/M/R queue with heterogeneous servers Copyright Springer-Verlag 2006

Keywords: Confidence interval; Heterogeneous servers; Maximum likelihood estimate; Queue (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s00186-005-0047-z

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