A workload-dependent M/G/1 queue under a two-stage service policy

A workload-dependent M/G/1 queue under a two-stage service policy

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Article ID: iaor2007990
Country: Netherlands
Volume: 34
Issue: 5
Start Page Number: 531
End Page Number: 538
Publication Date: Sep 2006
Journal: Operations Research Letters
Authors: ,
Keywords: work
Abstract:

We consider an M/G/1 queueing system where the speed of the server depends on the amount of work present in the system. As a service policy, we adopt the PMλ.τ release policy in a dam model. By using the level crossing theory and solving the corresponding integral equations, we obtain the stationary distribution of the workload in the system explicitly.

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