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|標題:||Maximum likelihood estimates and confidence intervals of an M/M/R queue with heterogeneous servers||作者:||Wang, T.Y.
|關鍵字:||confidence interval;heterogeneous servers;maximum likelihood estimate;queue||Project:||Mathematical Methods of Operations Research||期刊/報告no：:||Mathematical Methods of Operations Research, Volume 63, Issue 2, Page(s) 371-384.||摘要:||
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 rho, 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.
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