Queueing model of a hybrid channel with faster link subject to partial and complete failures

Dmitry Efrosinin ()

Annals of Operations Research, 2013, vol. 202, issue 1, 75-102

Abstract: This paper presents a Markovian queueing model for a hybrid channel consisting of two links with different throughputs. The busy faster link is assumed to be unreliable, with possible partial and complete failures. Partial failures lead to a reduction in the service rate, while complete failure stops the service. Repairs return the faster server to a non-failed state. The problem of the optimal allocation of customers between the servers is considered. The optimality of a threshold-based policy that depends on the failure state of the faster server is proved. The dynamic behaviour of the system for the given threshold policy is described by a four-dimensional Markov process that can be treated as a QBD process with a large number of boundary states. Stationary analysis of the system is performed by means of a matrix-geometric approach, and the main performance measures are derived. Copyright Springer Science+Business Media, LLC 2013

Keywords: Hybrid channel; Heterogeneous servers; Controllable queueing system; Threshold-based policy; Busy period; Waiting time distribution (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s10479-011-0939-7

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