Volume 38, Number 3, July-September 2004
|Page(s)||227 - 241|
|Published online||15 September 2004|
Maximum likelihood estimates and confidence intervals of an M/M/R/N queue with balking and heterogeneous servers
Department of Applied Mathematics
National Chung-Hsing University Taichung, 402, Taiwan, R.O.C.; email@example.com.
2 Department of Statistics National Taichung Institute of Technology Taichung 404, Taiwan, R.O.C.
Revised: 15 January 2004
This paper considers an M/M/R/N queue with heterogeneous servers in which customers balk (do not enter) with a constant probability (1 - b). We develop the maximum likelihood estimates of the parameters for the M/M/R/N queue with balking and heterogeneous servers. This is a generalization of the M/M/2 queue with heterogeneous servers (without balking), and the M/M/2/N queue with balking and heterogeneous servers in the literature. 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/N queue with balking and heterogeneous servers. The effects of varying b, N, and R on the confidence intervals of P0 and E[N] are also investigated.
Key words: Balk / confidence interval / heterogeneous servers / maximum likelihood estimate / queue.
© EDP Sciences, 2004
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.