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Queueing model of a hybrid channel with faster link subject to partial and complete failures.
- Source :
-
Annals of Operations Research . Jan2013, Vol. 202 Issue 1, p75-102. 28p. 3 Charts, 3 Graphs. - Publication Year :
- 2013
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02545330
- Volume :
- 202
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Annals of Operations Research
- Publication Type :
- Academic Journal
- Accession number :
- 84486131
- Full Text :
- https://doi.org/10.1007/s10479-011-0939-7