Maximum likelihood estimates and confidence intervals of an M/M/R queue with heterogeneous servers

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Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/36366

標題:	Maximum likelihood estimates and confidence intervals of an M/M/R queue with heterogeneous servers
作者:	Wang, T.Y. 王國雄 Ke, J.C. Wang, K.H. Ho, S.C.
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.
URI:	http://hdl.handle.net/11455/36366
ISSN:	1432-2994
DOI:	10.1007/s00186-005-0047-z
Appears in Collections:	應用數學系所

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