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- W4241346146 abstract "In many applications of queueing theory assumptions of either Poisson arrivals or exponential service times are made. The implicit assumption is that if the actual arrival process approximates a Poisson process and the service times are close to exponential, then the quantities of interest in the real queueing system ( viz . the virtual waiting time, queue length, idle times, etc.), will approximate those of the idealized model. The continuity of the single server queue acting as functionals of the arrival and service processes is established. The proof involves an application of the theory of weak convergence of probability measures on metric spaces." @default.
- W4241346146 created "2022-05-12" @default.
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- W4241346146 date "1972-06-01" @default.
- W4241346146 modified "2023-09-23" @default.
- W4241346146 title "The continuity of the single server queue" @default.
- W4241346146 cites W2084351823 @default.
- W4241346146 doi "https://doi.org/10.1017/s0021900200095048" @default.
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