search query: @indexterm STEADY STATE MODELS / total: 14
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| Author: | Whitt, W. |
| Title: | Understanding the efficiency of multi-server service systems |
| Journal: | Management Science
1992 : MAY, VOL. 38:5, p. 708-723 |
| Index terms: | SERVICE QUEUING THEORY TIME DISTRIBUTION STEADY STATE MODELS |
| Language: | eng |
| Abstract: | In a multi-server queue with unlimited waiting space, the appropriate server utilization typically increases as the number of server and the arrival rate increases. This economy of scale is explained and a rough quantitative characterization is given. It is shown how increased variability in the arrival and service processes tends to reduce server utilization with a given grade of service. As part of this analysis, simple approximations are developed for the mean steady-state waiting time and the full steady-state waiting-time distribution. An infinite-server approximation for the probability of delay, and a single-server approximation for the waiting-time distribution (if waiting occurs) is exploited. |
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