On the waiting times in queues with dependency between interarrival and service times

Authors:
Alfred MüLler
Affiliations:
Institut für Wirtschaftstheorie und Operations Research, Universität Karlsruhe, Kaiserstr. 12, D-76128 Karlsruhe, Germany
Venue:
Operations Research Letters
Year:
2000

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Abstract

In this paper a queueing system with partial correlation is considered. We assume that the amount of work (service time) brought in by a customer and the subsequent interarrival time are dependent. We show that in this case stronger dependence between interarrival and service times leads to decreasing waiting times in the increasing convex ordering sense. This generalizes a result of Chao (Oper. Res. Lett. 17 (1995) 47-51).