Matrix-Geometric Solution for Two Node Tandem Queueing Systems with Phase-Type Servers Subject to Blocking and Failures.
| dc.contributor.author | Gun, Levent | en_US |
| dc.contributor.author | Makowski, Armand M. | en_US |
| dc.contributor.department | ISR | en_US |
| dc.date.accessioned | 2007-05-23T09:40:10Z | |
| dc.date.available | 2007-05-23T09:40:10Z | |
| dc.date.issued | 1987 | en_US |
| dc.description.abstract | A two node tandem queueing system with phase-type servers and Bernoulli arrivals is considered in discrete-time when servers are subject to bloclring and failuree. The invariant probability vector of the underlying finite state Quasi-Birth-and-Death process is shown to admit a matrix-geometric representation for all values of the arrival rate A. The corresponding rate matrix is given explicitly in terms of the model parameters and the resulting closed-form expression provides the basis for an efficient calculation of the invariant probability vector. The cases LAMBDA = 1 and LAMBDA < 1 are studied separately and the irreducibility of the underlying Markov chain is discussed for each case. The continuous-time formulation is briefly discussed and only major differences with the discrete-time results are pointed out. Some numerical examples are also provided. | en_US |
| dc.format.extent | 1104114 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1903/4713 | |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | ISR; TR 1987-210 | en_US |
| dc.title | Matrix-Geometric Solution for Two Node Tandem Queueing Systems with Phase-Type Servers Subject to Blocking and Failures. | en_US |
| dc.type | Technical Report | en_US |
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