標題: | Maximum likelihood estimates and confidence intervals of an M/M/R queue with heterogeneous servers |
作者: | Wang, TY Ke, JC Wang, KH Ho, SC 工業工程與管理學系 Department of Industrial Engineering and Management |
關鍵字: | confidence interval;heterogeneous servers;maximum likelihood estimate;queue |
公開日期: | 1-May-2006 |
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://dx.doi.org/10.1007/s00186-005-0047-z http://hdl.handle.net/11536/12332 |
ISSN: | 1432-2994 |
DOI: | 10.1007/s00186-005-0047-z |
期刊: | MATHEMATICAL METHODS OF OPERATIONS RESEARCH |
Volume: | 63 |
Issue: | 2 |
起始頁: | 371 |
結束頁: | 384 |
Appears in Collections: | Articles |
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