## a b s t r a c t We consider a discrete-time Geo [X] /G/1 retrial queue with general retrial times. The system state distribution as well as the orbit size and the system size distributions are obtained in terms of their generating functions. These generating functions yield exact expressions for
Discrete-time retrial queue with general retrial times and starting failures
β Scribed by Jinting Wang; Qing Zhao
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 893 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0895-7177
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π SIMILAR VOLUMES
We consider a discrete-time Geo/G/1 retrial queue with starting failures in which all the arriving customers require a first essential service while only some of them ask for a second optional service. We study the Markov chain underlying the considered queueing system and its ergodicity condition.
Retrial queueing systems are widely used in teletraffic theory and computer and communication networks. Although there has been a rapid growth in the literature on retrial queueing systems, the research on retrial queues with nonexponential retrial times is very limited. This paper is concerned with