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

Authors:
Zhe George Zhang
Affiliations:
Department of Decision Sciences, College of Business and Economics, Western Washington University, Bellingham, WA98225-9077, USA
Venue:
Operations Research Letters
Year:
2006

Citing 4
Cited 1

Fundamentals of queueing theory (2nd ed.).

Fundamentals of queueing theory (2nd ed.).
Queueing systems with vacations—a survey

Queueing Systems: Theory and Applications
Optimal two-threshold policies in an M/G/1 queue with two vacation types

Performance Evaluation
The optimal control of an M/G/1 queueing system with server vacations, startup and breakdowns

Computers and Industrial Engineering

A note on workload control for an under-utilized server of M/G/1 system

Computers and Industrial Engineering

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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.