Maximum Likelihood Estimates and Confidence Intervals of an M/M/R Queue with Heterogeneous Servers
نویسندگان
چکیده
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 P0, and the expected number of customers in the system E[N ], of an M/M/R queue with heterogeneous servers.
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ورودعنوان ژورنال:
- Math. Meth. of OR
دوره 63 شماره
صفحات -
تاریخ انتشار 2006