SERIE RESEARCH IllEmORnnDB ASYMPTOTICALLY EXPONENTIAL EXPANSION FOR THE WAITING TIME PROBABILITY IN THE SINGLE SERVER QUEUE WITH BATCH ARRIVALS
نویسنده
چکیده
This paper deals with the single server queue with batch arrivals. We show that under suitable conditions the waiting time distribution of an individual customer has an asymptotically exponential expansion. For the practically important case of phase-type distributions for the interarrival time and the service time a computationally useful characterization of the amplitude factor and the decay parameter is given.
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