ISSN:
1572-9443
Keywords:
Departures
;
infinite server
;
batch arrival
;
customer dependence
;
analytical result
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
Notes:
Abstract Departure processes in infinite server queues with non-Poisson arrivals have not received much attention in the past. In this paper, we try to fill this gap by considering the continuous time departure process in a general infinite server system with a Markov renewal batch arrival process ofM different types of customers. By a conditional approach, analytical results are obtained for the generating functions and binomial moments of the departure process. Special cases are discussed, showing that while Poisson arrival processes generate Poisson departures, departure processes are much more complicated with non-Poisson arrivals.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01151931
Permalink