On the convexity of the two-threshold policy for an M/G/1 queue with vacations

On the convexity of the two-threshold policy for an M/G/1 queue with vacations

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Article ID: iaor2007989
Country: Netherlands
Volume: 34
Issue: 4
Start Page Number: 473
End Page Number: 476
Publication Date: Jul 2006
Journal: Operations Research Letters
Authors:
Keywords: M/G/1 queues, vacation models
Abstract:

In this note, we consider a single server queueing system with server vacations of two types and a two-threshold policy. Under a cost and revenue structure the long-run average cost function is proven to be convex in the lower threshold for a fixed difference between the two thresholds.

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