A note on the virtual waiting time in the stationary PH/M/c+D queue
| Autor: | Tetsuya Takine, Ken'ichi Kawanishi |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Discrete mathematics
D/M/1 queue Statistics and Probability 68M20 M/G/k queue General Mathematics M/M/1 queue PH/M/c queue M/D/c queue M/M/∞ queue matrix exponential form Burke's theorem 60K25 virtual waiting time M/G/1 queue M/M/c queue deterministic impatience time Statistics Probability and Uncertainty Mathematics |
| Zdroj: | J. Appl. Probab. 52, no. 3 (2015), 899-903 |
| ISSN: | 1475-6072 0021-9002 |
| DOI: | 10.1017/s002190020011352x |
| Popis: | In this paper we consider the stationary PH/M/c queue with deterministic impatience times (PH/M/c+D). We show that the probability density function of the virtual waiting time takes the form of a matrix exponential whose exponent is given explicitly by system parameters. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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