On the starshapeness of G/G/c queueing systems

Authors
Shanthikumar, J. George Wu, Couchen
Citation
Shanthikumar, J. George et Wu, Couchen, On the starshapeness of G/G/c queueing systems, Advances in applied probability , 23(2), 1991, pp. 431-435
Journal title
Advances in applied probability → ACNP
ISSN journal
00018678
Volume
23
Issue
2
Year of publication
1991
Pages
431 - 435
Database
ACNP
SICI code
Abstract
In this paper we show that the waiting and the sojourn times of a customer in a single-stage, multiple-server, G/G/c queueing system are increasing and starshaped with respect to the mean service time. Usefulness of this result in the design of the optimal service speed in the G/G/c queueing system is also demonstrated.