An M/G/1/1 queue with unreliable server and no waiting capacity

An M/G/1/1 queue with unreliable server and no waiting capacity

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Article ID: iaor20033323
Country: Taiwan
Volume: 13
Issue: 2
Start Page Number: 35
End Page Number: 50
Publication Date: Apr 2002
Journal: International Journal of Information and Management Science
Authors: , ,
Keywords: M/G/1 queues
Abstract:

An M/G/1 queuing system with no waiting room is considered. The server is assumed to provide two types of services – regular and optional, with the provision of server breakdown. Explicit expressions for the transient probabilities that the system is idle, busy and broken down are obtained. Reliability and availability analyses of the system are carried out. For the specific choice of distributions and parameters involved, numerical illustrations are provided. Earlier results are deduced as special cases of this more general model.

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