A discrete-time Geo/G/1 retrial queue with starting failures and second optional service

Computers and Mathematics with Applications

Volumn 53, Issue 1, 2007, Pages 115-127

  Wang, Jinting ^a   Zhao, Qing ^a  

^a BEIJING JIAOTONG UNIVERSITY   (China)

Author keywords

Discrete time retrial queues; Essential and optional service; Repair; Stochastic decomposition; Unreliable server

Indexed keywords

FAILURE ANALYSIS; MARKOV PROCESSES; NUMERICAL METHODS; PROBABILITY DENSITY FUNCTION;

RETRIAL QUEUES; STATIONARY DISTRIBUTIONS; STEADY STATES;

QUEUEING NETWORKS;

EID: 34047271757     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.10.024     Document Type: Article

References (31)

1. Bruneel H., and Kim B.G. Discrete-Time Models for Communication Systems Including ATM (1993), Kluwer Academic Publishers, Boston
2. Hunter J.J. Mathematical Techniques of Applied Probability. Discrete-Time Models: Techniques and Applications vol. 2 (1983), Academic Press, New York
3. Chaudhry M.L., and Templeton J.G.C. A First Course in Bulk Queues (1983), Wiley, New York
4. Takagi H. Queueing Analysis: A foundation of Performance Evaluation. Discrete-Time Systems vol. 3 (1993), North-Holland, Amsterdam
5. Woodward M.E. Communication and Computer Networks: Modelling with Discrete-Time Queues (1994), IEEE Computer Soc. Press, Los Alamitos, CA
6. Artalejo J.R. A classified bibliography of research on retrial queues: Progress in 1990-1999. Top 7 2 (1999) 187-211
7. Artalejo J.R. Accessible bibliography on retrial queues. Mathematical and Computer Modelling 30 (1999) 1-6
8. Falin G.I., and Templeton J.G.C. Retrial Queues (1997), Chapman & Hall, London
9. Yang T., and Li H. On the steady-state queue size distribution of the discrete-time G e o / G / 1 queue with repeated customers. Queueing Systems 21 (1995) 199-215
10. H / 1 retrial queue with Bernoulli feedback. Computers and Operations Research 31 (2004) 359-381
11. 2 / G / 1 retrial queueing system with two types of calls. Computers and Mathematics with Applications 33 10 (1997) 79-88
12. Li H., and Yang T. G e o / G / 1 discrete-time retrial queue with Bernoulli schedule. European Journal of Operate Research 111 3 (1998) 629-649
13. Li H., and Yang T. Steady-state queue size distribution of discrete-time P H / G e o / 1 retrial queues. Mathematical and Computer Modelling 30 (1999) 51-63
14. [X] / G / 1 retrial queue with non-preemptive priority. Asia-Pacific Journal of Operational Research 16 (1999) 215-234
15. Atencia I., and Moreno P. A discrete-time G e o / G / 1 retrial queue with general retrial times. Queueing Systems 48 (2004) 5-21
16. [X] / G / 1 retrial queue with control of admission. Applied Mathematical Modelling 29 (2005) 1100-1120
17. Madan K.C. An M / G / 1 queue with second optional service. Queueing Systems 34 (2000) 37-46
18. Medhi J.A. A single server Poisson input queue with a second optional channel. Queueing Systems 42 (2002) 239-242
19. Wang J. An M / G / 1 queue with second optional service and server breakdowns. Computers and Mathematics with Applications 47 (2004) 1713-1723
20. I. Atencia, P. Moreno, A discrete-time retrial queue with 2nd optional service, in: Proceeding of Fifth International Workshop on Retrial Queues, 2004, pp. 117-121
21. Aissani A. On the M / G / 1 / 1 queueing system with repeated order and unreliable server. Journal of Technology 6 (1988) 98-123 (in French)
22. Kulkarni V.G., and Choi B.D. Retrial queues with server subject to breakdowns and repairs. Queueing Systems 7 (1990) 191-208
23. Artalejo J.R. New results in retrial queueing systems with breakdown of the servers. Statistica Neerlandica 48 (1994) 23-36
24. Yang T., and Li H. The M / G / 1 retrial queue with the server subject to starting failures. Queueing Systems 16 (1994) 83-96
25. Artalejo J.R., and Gómez-Corral A. Unreliable retrial queues due to service interruptions arising from facsimile networks. Belgian Journal of Operations Research, Statistics and Computer Science 38 (1998) 31-41
26. Wang J., Cao J., and Li Q. Reliability analysis of the retrial queue with server breakdowns and repairs. Queueing Systems 38 (2001) 363-380
27. Li Q.L., Ying Y., and Zhao Y.Q. A B M A P / G / 1 retrial queue with a server subject to breakdowns and repairs. Annals of Operations Research 141 (2006) 233-270
28. Krishna Kumar B., Pavai Madheswari S., and Vijayakumar A. The M / G / 1 retrial queue with feedback and starting failures. Applied Mathematical Modelling 26 (2002) 1057-1075
29. Moreno P. A discrete-time retrial queue with unreliable server and general server lifetime. Journal of Mathematical Sciences 132 5 (2006) 643-655
30. Yang T., and Templeton J.G.C. A survey on retrial queues. Queueing Systems 2 (1987) 201-233
31. Artalejo J.R., and Falin G.I. Stochastic decomposition for retrial queues. Top 2 (1994) 329-342