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AN EMERGENCY FACILITY WITH MINIMAL ADMISSION

Published online by Cambridge University Press:  10 October 2002

J. Preater
J. Preater
Affiliation:
Department of Mathematics, Keele University, Keele, Staffordshire, UK, E-mail: [email protected]
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Abstract

We study an M/M/∞ queuing system in which each arrival has a random urgency and is admitted if and only if it is more urgent than all individuals currently receiving service. The system represents, for example, a less-than-magnanimous emergency facility. For this system, and also for a closely related “Parody,” we study the busy period distribution and, to a lesser extent, occupancy. Both exact and heavy traffic results are given.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 16 , Issue 4 , October 2002 , pp. 499 - 511
Copyright
© 2002 Cambridge University Press

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