Asymptotic behavior for MAP/PH/c queue with shortest queue discipline and jockeying

Authors:
Yutaka Sakuma
Affiliations:
Department of Information Sciences, Tokyo University of Science, Noda-City, Chiba 278-8510, Japan
Venue:
Operations Research Letters
Year:
2010

Citing 4
Cited 1

Introduction to matrix analysis (2nd ed.)

Introduction to matrix analysis (2nd ed.)
Two M/M/1 Queues with Transfers of Customers

Queueing Systems: Theory and Applications
Decay rate for a PH/M/2 queue with shortest queue discipline

Queueing Systems: Theory and Applications
A Large Deviation Principle for Join the Shortest Queue

Mathematics of Operations Research

Join the shortest queue among k parallel queues: tail asymptotics of its stationary distribution

Queueing Systems: Theory and Applications

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Abstract

This paper considers a parallel queueing model with heterogeneous servers, where an arriving customer joins the shortest queue and jockeying between queues is permitted. Based on the matrix analytic approach pioneered by Neuts, we obtain the tail decay rate of the stationary distribution for this queueing model.