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Analysis of an M/G/1 Queue with Two Types of Impatient Units



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Artalejo, Jesús R. y Martin, M. (1995) Analysis of an M/G/1 Queue with Two Types of Impatient Units. Advances in Applied Probability, 27 (3). pp. 840-861. ISSN 0001-8678

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This paper deals with a service system in which the processor must serve two types of impatient units. In the case of blocking, the first type units leave the system
whereas the second type units enter a pool and wait to be processed later. We develop an exhaustive analysis of the system including embedded Markov chain, fundamental period and various classical stationary probability distributions.
More specificp erformancem easures,s uch as the numbero f lost customersa nd other quantities,a re also considered.T he mathematicaal nalysiso f the model is based on the theory of Markov renewal processes, in Markov chains of M/G/1 type and in expressions of 'Takacs' equation' type.

Tipo de documento:Artículo
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The authors would like to thank the referee for valuable suggestions that helped to improve the presentation of this paper.

Palabras clave:Queues with impatient units and repeated attempts; Takacs equation; Matrices of M/G/1 type; Markov renewal processes
Materias:Ciencias > Matemáticas > Investigación operativa
Código ID:16225
Depositado:10 Sep 2012 11:01
Última Modificación:10 Sep 2012 11:01

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