Electronic Resource
Springer
Queueing systems
8 (1991), S. 323-356
ISSN:
1572-9443
Keywords:
Infinite server
;
batch arrival
;
Markov renewal input
;
customer dependence
;
analytical result
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
Notes:
Abstract An important property of most infinite server systems is that customers are independent of each other once they enter the system. Though this non-interacting property (NIP) has been instrumental in facilitating excellent results for infinite server systems in the past, the utility of this property has not been fully exploited or even fully recognized. This paper exploits theNIP by investigating a general infinite server system with batch arrivals following a Markov renewal input process. The batch sizes and service times depend on the customer types which are regulated by the Markov renewal process. By conditional approaches, analytical results are obtained for the generating functions and binomial moments of both the continuous time system size and pre-arrival system size. These results extend the previous results on infinite server queues significantly.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02412259
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