Generalized Erlang Problem for Service Systems with Finite Total Capacity

Generalized Erlang Problem for Service Systems with Finite Total Capacity A multiserver on-demand system is considered in which each call has three interdependent random characteristics: the required number of servers, capacity, and service time. The total capacity of calls and the total number of servers in the system are limited. The type of a call is defined by the number of servers required for its service. We find a stationary distribution of the number of calls in the system, as well as the loss probability for a call of each type. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

Generalized Erlang Problem for Service Systems with Finite Total Capacity

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Publisher
Nauka/Interperiodica
Copyright
Copyright © 2005 by MAIK "Nauka/Interperiodica"
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1007/s11122-005-0029-z
Publisher site
See Article on Publisher Site

Abstract

A multiserver on-demand system is considered in which each call has three interdependent random characteristics: the required number of servers, capacity, and service time. The total capacity of calls and the total number of servers in the system are limited. The type of a call is defined by the number of servers required for its service. We find a stationary distribution of the number of calls in the system, as well as the loss probability for a call of each type.

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 17, 2005

References

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