Stochastic analysis of the departure and quasi-input processes in a versatile single-server queue
dc.contributor.author | Gómez-Corral, Antonio | |
dc.contributor.author | Artalejo Rodríguez, Jesús Manuel | |
dc.date.accessioned | 2023-06-20T19:17:37Z | |
dc.date.available | 2023-06-20T19:17:37Z | |
dc.date.issued | 1996 | |
dc.description.abstract | This paper is concerned with the stochastic analysis of the departure and quasi-input processes of a Markovian single-server queue with negative exponential arrivals and repeated attempts. Our queueing system is characterized by the phenomenon that a customer who finds the server busy upon arrival joins an orbit of unsatisfied customers. The orbiting customers form a queue such that only a customer selected according to a certain rule can reapply for service. The intervals separating two successive repeated attempts are exponentially distributed with rate α+jμ, when the orbit size is j≥1. Negative arrivals have the effect of killing some customer in the orbit, if one is present, and they have no effect otherwise. Since customers can leave the system without service, the structural form of type M/G/1 is not preserved. We study the Markov chain with transitions occurring at epochs of service completions or negative arrivals. Then we investigate the departure and quasi-input processes. | |
dc.description.department | Depto. de Estadística e Investigación Operativa | |
dc.description.faculty | Fac. de Ciencias Matemáticas | |
dc.description.refereed | TRUE | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/29639 | |
dc.identifier.citation | Artalejo, J.R. and Gomez-Corral, A., Quasi-birth and death processes with applications to queues with repeated attempts, (in preparation) 1995. Conolly, B.W. and Langaris, C., On a new formula for the transient state probabilities for M/M/1 queues and computational implications, J. Appl. Probab. 30 (1993), 237-246. Cooper, R.B., Introduction to Queueing Theory, Edward Arnold, London 1981. Falin, G.I., A survey of retrial queues, Queueing Syst. 7 (1990), 127-168. Farahmand, K., Single line queue with repeated attempts, Queueing Syst. 6 (1990), 223-228. Harrison, P.G. and Pitel, E., Sojourn times in single-server queues with negative customers, J. Appl. Probab. 31} (1993), 943-963. Martin, M. and Artalejo, J.R., Analysis of an M/G/1 queue with two types of impatient units, Adv. Appl. Probab. 27 (1995), 840-861. Stidham, Jr., S., Regenerative processes in the theory of queues, with applications to the alternating-priority queue, Adv. Appl. Probab. 4 (1972), 542-577. | |
dc.identifier.doi | 10.1155/S1048953396000172 | |
dc.identifier.issn | 1048-9533 | |
dc.identifier.officialurl | http://www.hindawi.com/journals/ijsa/1996/579834/abs/ | |
dc.identifier.relatedurl | http://www.hindawi.com/ | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/59490 | |
dc.issue.number | 2 | |
dc.journal.title | Journal of Applied Mathematics and Stochastic Analysis | |
dc.language.iso | eng | |
dc.page.final | 183 | |
dc.page.initial | 171 | |
dc.publisher | Hindawi Publishing Corporation | |
dc.rights.accessRights | open access | |
dc.subject.cdu | 519.21 | |
dc.subject.keyword | Queueing | |
dc.subject.keyword | Repeated Attempts | |
dc.subject.keyword | Negative Arrivals | |
dc.subject.keyword | Regenerative Processes | |
dc.subject.keyword | Generalized Hypergeometric Functions. | |
dc.subject.ucm | Probabilidades (Matemáticas) | |
dc.title | Stochastic analysis of the departure and quasi-input processes in a versatile single-server queue | |
dc.type | journal article | |
dc.volume.number | 9 | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | db4b8a04-44b0-48e9-8b2c-c80ffae94799 | |
relation.isAuthorOfPublication.latestForDiscovery | db4b8a04-44b0-48e9-8b2c-c80ffae94799 |
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