Discrete-time Geo[X]/GH/1 retrial queue with Bernoulli feedback

Computers and Mathematics with Applications

Volumn 47, Issue 8-9, 2004, Pages 1273-1294

  Atencia, I ^a   Moreno, P ^a  

^a Campus de Teatinos   (Spain)

Author keywords

Bernoulli feedback; Discrete time model; Ergodicity; Markov chain; Retrial queue

Indexed keywords

APPROXIMATION THEORY; ASYNCHRONOUS TRANSFER MODE; MARKOV PROCESSES; MATHEMATICAL MODELS; PROBABILITY; TELECOMMUNICATION; VOICE/DATA COMMUNICATION SYSTEMS;

BERNOULLI FEEDBACK; DISCRETE-TIME MODEL; ERGODICITY; RETRIAL QUEUE;

DISCRETE TIME CONTROL SYSTEMS;

EID: 3242884304     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(04)90122-8     Document Type: Article

References (24)

1. T. Meisling, Discrete time queueing theory, Operations Research 6, 96-105, (1958).
2. I. Atencia and P. Moreno The discrete-time Geo/Gco/1 queue with negative customers and disasters, Computers and Operations Research 31 (9), 1537-1548, (2004).
3. H. Bruneel and E.G. Kim, Discrete-Time Models for Communication Systems Including ATM, Kluwer Academic, Boston, MA, (1993).
4. M.L. Chaudhry, J.G.C. Templeton and U.C. Gupta, Analysis of the discrete-time GI/Geom(n)/1/N queue, Computers Math. Applic. 31 (1), 59-68, (1996).
5. D. Fiems, B. Steyaert and H. Bruneel, Randomly interrupted GI - G - 1 queues: Service strategies and stability issues, Annals of Operations Research 112, 171-183, (2002).
6. J.J. Hunter, Mathematical techniques of applied probability, In Discrete-Time Models: Techniques and Applications, Volume 2, Academic Press, New York, (1983).
7. H. Takagi, Queueing analysis: A foundation of performance evaluation, In Discrete-Time Systems, Volume 3, North-Holland, Amsterdam, (1993).
8. Z.G. Zhang and N. Tian, Discrete time Geo/G/1 queue with multiple adaptive vacations, Queueing Systems 38, 419-429, (2001).
9. M.E. Woodward, Communication and Computer Networks: Modelling with Discrete-Time Queues, IEEE Computer Society, Los Alamitos, CA, (1994).
10. T. Yang and J.G.C. Templeton, A survey on retrial queues, Queueing Systems 2, 201-233, (1987).
11. J.R. Artaiejo, A classified bibliography of research on retrial queues: Progress in 1990-1999, Top 7 (2), 187-211, (1999).
12. J.R. Artalejo, Accessible bibliography on retrial queues, Mathl. Comput. Modelling 30 (3/4), 1-6, (1999).
13. G.I. Falin, A survey of retrial queues, Queueing Systems 7, 127-168, (1990).
14. G.I. Falin and J.G.C. Templeton, Retrial Queues, Chapman & Hall, London, (1997).
15. T. Yang and H. Li, On the steady-state queue size distribution of the discrete-time Geo/G/1 queue with repeated customers, Queueing Systems 21, 199-215, (1995).
16. 22/G/1 retrial queueing system with two types of calls, Computers Math. Applic. 33 (10), 79-88, (1997).
17. H. Li and T. Yang, Geo/G/1 discrete time retrial queue with Bernoulli schedule, European Journal of Operational Research 111 (3), 629-649, (1998).
18. H. Li and T. Yang, Steady-state queue size distribution of discrete-time PH/Geo/1 retrial queues, Mathl. Comput. Modelling 30 (3/4), 51-63, (1999).
19. [X/G/1 retrial queue with non-preemptive priority, Asia-Pacific Journal of Operational Research 16 (2), 215-234, (1999).
20. L. Takacs, A single-server queue with feedback, Bell System Technical Journal 42, 505-519, (1963).
21. B.D. Choi and V.G. Kulkarni, Feedback retrial queueing systems, In Queueing and Related Models, (Edited by U.M. Bhat and I.V. Basawa), pp. 93-105, Oxford University Press, New York, (1992).
22. K. Farahmand and N.H. Smith, Retrial queues with recurrent demand option, Journal of Applied Mathematics and Stochastic Analysis 9 (2), 221-228, (1996).
23. S.W. Fuhrmann and R.B. Cooper, Stochastic decompositions in the M/G/1 queue with generalized vacations, Operations Research 33 (5), 1117-1129, (1985).
24. J.G. Shanthikumar, On stochastic decomposition in M/G/1 type queues with generalized server vacations, Operations Research 36 (4), 566-569, (1988).