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| Author: | Green, L. Kolesar, P. Svorones, A. |
| Title: | Some effects of nonstationarity on multiserver markovian queuing systems. |
| Journal: | Operations Research
1991 : MAY-JUN, VOL. 39:3, p. 502-511 |
| Index terms: | MARKOV CHAINS QUEUING THEORY |
| Language: | eng |
| Abstract: | The objective is to determine when and how a stationary model may be used as an approximation for a nonstationary system. It is investigated how nonstationary can an arrival process be before a simple stationary approximation fails. The analysis reveals that stationary models can seriously underestimate when the actual system is only modestly nonstationary. Other findings include confirmation and elaboration of the conjecture that expected delays increase with nonstationarity, and the identification of easily computed and tight lower and opper bounds for the expected delay and the probability of delay. |
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