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- W2041072514 abstract "If an $M/G/)$ queue either is transient or is positive and has a service time distribution which is exponentially bounded, then the most important quantities of the queue have distributions which tend exponentially fast to their limits. If we assume somewhat more, i.e., if condition $(PE)$ below is satisfied, then accurate estimates on these distributions are obtained in the positive recurrent case. Some of the studied quantities are the busy period, the number of customers served during a busy period, the waiting times and the queue length in continuous time. The method of proof is based on the' exponential ergodicity theorems for semi-Markov processes and on standard theorems from the theory of Laplace–Stielt jes transforms." @default.
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- W2041072514 date "1969-09-01" @default.
- W2041072514 modified "2023-10-14" @default.
- W2041072514 title "Exponential Ergodicity of the $M/G/1$ Queue" @default.
- W2041072514 doi "https://doi.org/10.1137/0117081" @default.
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