Publication:
Computation of the limiting distribution in queueing systems with repeated attempts and disasters

Loading...
Thumbnail Image
Full text at PDC
Publication Date
1999
Authors
Gómez-Corral, Antonio
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
EDP Sciences
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
Single server queues with repeated attempts are useful in the modeling of computer and telecommunication systems. In addition, we consider iii this paper the possibility of disasters. When a disaster occurs, all the customers present in the sq stein are destroyed immediately. Using a regenerative approach, we derive a numerically stable recursion scheme for the stare probabilities. This model can be employed to analyze the behaviour of a buffer in computers with virus infections.
Description
Keywords
Citation
J. R.ARTALEJO, New results in retrial queueing Systems with breakdown of the servers, Statist. Neerlandica, 1994, 48, p. 23-36. J. R.ARTALEJO and A.GOMEZ-CORRAL, Steady state solution of a single-server queue with linear request repeated, J. Appl. Probab., 1997 , 34, p. 223-233. J. R.ARTALEJO and A.GOMEZ-CORRAL, Analysis of a stochastic clearing system with repeated attempts, Communications in Statistics-Stochastic Models, 1998, 14, p. 623-645. R. J.BOUCHERIE and O. J.BOXMA, The workload in the M/G/1 queue with work removal, Probab. Engineering and Informational Sci., 1996, 10, p. 261-277. X.CHAO, A queueing network model with catastrophes andproduct form solution, Operations Research Letters, 1995, 18, p. 75-79. G.I.FALIN and J. G. C.TEMPLETON, Retrial Queues, Chapman and Hall, London, 1997. J. M.FOURNEAU, E.GELENBE and R.SUROS, G-Networks with multiple classes of positive and negative customers, Theoret. Comput. Sci., 1996, 155, p. 141-156. E.GELENBE, P.GLYNN and K.SIGMAN, Queues with negative arrivals, J. Appl. Probab., 1991, 28, p. 245-250. E.GELENBE, Queueing networks with negative and positive customers and product form solution, J. Appl. Probab., 1991, 28, p. 656-663. E.GELENBE and M.SCHASSBERGER, Stability of product form G-Networks, Probab. Engineering and Informational Sci., 1992, 6, p. 271-276. E.GELENBE, G-Networks with triggered customer movement, J. Appl. Probab., 1993, 30, p. 742-748. E.GELENBE, G-Networks with signals and batch removal, Probab. Engineering and Informational Sci., 1993, 7, p. 335-342. E.GELENBE and A.LABED, G-Networks with multiple classes of signals and positive customers, European J. Oper. Res., 1998, 108, p. 393-405. P. G.HARRISON and E.PITEL, The M/G/1 queue with negative customer, Adv. Appl.Probab., 1996, 28, p. 540-566. G.JAIN and K.SIGMAN, A Pollaczek-Khintchine formula for M/G/1 queues with disasters, J. Appl. Probab., 1996, 33, p. 1191-1200. A. G.DE KOK, Algorithmic methods for single server Systems with repeated attempts, Statist Neerlandica, 1984, 38, p. 23-32. M.MARTIN and J. R.ARTALEJO, Analysis of an M/G/1 queue with two types of impatient units, Adv, Appl. Probab., 1995, 27, p. 840-861. H.SCHELLHAAS, Commutation of the state probabilities in a class of semi-regenerative queueing Models, J. Janssen, Ed., Semi-Markov Models: Theory and Applications Plenum Press, New York and London, 1986, p. 111-130. R.SERFOZO and S.STIDHAM, Semi-stationary clearing processes, Stochastic Process. Appl., 1978, 6, p. 165-178. S.STIDHAM, Stochastic clearing Systems, Stochastic Process. Appl., 1974, 2, p.85-113. H. C.TIJMS, Stochastic Models: An Algorithmic Approach, John Wiley and Sons, Chichester, 1994. T.YANG and J. G. C.TEMPLETON, A survey on retrial queues, Queueing Systems, 1987, 2, p. 201-233.
Collections