Geo/G/1 retrial queue with 2nd optional service

International Journal of Operational Research

Volumn 1, Issue 4, 2006, Pages 340-362

  Atencia, Ivan ^a   Moreno, Pilar ^b  

^a UNIVERSITY OF MÁLAGA   (Spain)

^b Universidad Pablo de Olavide   (Spain)

Author keywords

Discrete time model; Essential service; Optional service; Recursive formulae; Stochastic decomposition

Indexed keywords

EID: 33746540990     PISSN: 17457645     EISSN: 17457653     Source Type: Journal    
DOI: 10.1504/IJOR.2006.010209     Document Type: Article

References (35)

1. Al-Jararha, J. and Madan, K.C. (2003) 'An M/G/1 queue with second optional service with general service time distribution', Information and Management Sciences, Vol. 14, pp.47-56.
2. Artalejo, J.R. (1999a) 'A classified bibliography of research on retrial queues: progress in 1990-1999', Top, Vol. 7, pp.187-211.
3. Artalejo, J.R. (1999b) 'Accessible bibliography on retrial queues', Mathematical and Computer Modelling, Vol. 30, pp. 1-6.
4. Artalejo, J.R. and Falin, G.I. (1994) 'Stochastic decomposition for retrial queues', Top, Vol. 2, pp.329-342.
5. [X]/G/1 retrial queue with control of admission', Applied Mathematical Modelling, Vol. 29, pp.1100-1120.
6. Atencia, I. and Moreno, P. (2004a) 'A discrete-time Geo/G/1 retrial queue with general retrial times', Queueing Systems, Vol. 48, pp.5-21.
7. H/1 retrial queue with Bernoulli feedback', Computers and Mathematics with Applications, Vol. 47, pp.1273-1294.
8. Atencia, I. and Moreno, P. (2006a) 'A discrete-time Geo/G/1 retrial queue with server breakdowns', Asia-Pacific Journal of Operational Research.
9. Atencia, I. and Moreno, P. (2006b) 'A discrete-time Geo/G/1 retrial queue with the server subject to starting failures', Annals of Operations Research.
10. Bruneel, H. and Kim, B.G. (1993) Discrete-time Models for Communication Systems Including ATM, Kluwer Academic Publishers, Boston.
11. 2/G/1 retrial queueing system with two types of calls', Computers and Mathematics with Applications, Vol. 33, pp.79-88.
12. Choudhury, G. (2003a) 'A batch arrival queueing system with an additional service channel', Information and Management Sciences, Vol. 14, pp.17-30.
13. Choudhury, G. (2003b) 'Some aspects of an M/G/1 queueing system with optional second service', Top, Vol. 11, pp.141-150.
14. Choudhury, G. and Madhuchanda, P. (2005) 'A two phase queueing system with Bernoulli feedback', Information and Management Sciences, Vol. 16, pp. 35-52.
15. Doshi, B.T. (1991) 'Analysis of a two phase queueing system with general service times', Operations Research Letters, Vol. 10, pp.265-272.
16. Falin, G.I. and Templeton, J.G.C. (1997) Retrial Queues, Chapman & Hall, London.
17. Fuhrmann, S.W. and Cooper, R.B. (1985) 'Stochastic decomposition in the M/G/1 queue with generalized vacations', Operations Research, Vol. 33, pp. 1117-1129.
18. Hunter, J.J. (1983) Mathematical Techniques of Applied Probability, Vol. 2, Discrete-time Models: Techniques and Applications, Academic Press, New York.
19. KrishnaKumar, B. and Arivudainambi, D. (2001) 'An M/G/1/1 feedback queue with regular and optional services', Information and Management Sciences, Vol. 12, pp.67-73.
20. KrishnaKumar, B., Arivudainambi, D. and Vijayakumar, A. (2002a) 'An M/G/ 1/1 queue with unreliable server and no waiting capacity', Information and Management Sciences, Vol. 13, pp.35-50.
21. KrishnaKumar, B., Vijayakumar, A. and Arivudainambi, D. (2002b) 'An M/G/ 1 retrial queueing system with two-phase service and preemptive resume', Annals of Operations Research, Vol. 113, pp.61-79.
22. Li, H. and Yang, T. (1998) 'Geo/G/1 discrete time retrial queue with Bernoulli schedule', European Journal of Operational Research, Vol. 111, pp.629-649.
23. Li, H. and Yang, T. (1999) 'Steady-state queue size distribution of discrete-time PH/Geo/1 retrial queues', Mathematical and Computer Modelling, Vol. 30, pp.51-63.
24. Madan, K.C. (2000) 'An M/G/1 queue with second optional service', Queueing Systems, Vol. 34, pp.37-46.
25. Madan, K.C. and Baklizi, A. (2002) 'An M/G/1 queue with additional second stage service and optional re-service', Information and Management Sciences, Vol. 13, pp.13-31.
26. Medhi, J. (2002) 'A single server Poisson input queue with a second optional channel', Queueing Systems, Vol. 42, pp.239-242.
27. Meisling, T. (1958) 'Discrete time queueing theory', Operations Research, Vol. 6, pp.96-105.
28. Selvam, D.D. and Sivasankaran, V. (1994) 'A two-phase queueing system with server vacations', Operations Research Letters, Vol. 15, pp.163-168.
29. Takagi, H. (1993) Queueing Analysis: A Foundation of Performance Evaluation, Vol. 3, Discrete-time Systems, North-Holland, Amsterdam.
30. [X]/G/1 retrial queue with non-preemptive priority', Asia-Pacific Journal of Operational Research, Vol. 16, pp.215-234.
31. Tijms, H.C. (2003) A First Course in Stochastic Models, Wiley, Chichester.
32. Woodward, M.E. (1994) Communication and Computer Networks: Modelling with Discrete-time Queues, IEEE Computer Society Press, Los Alamitos, California.
33. Yang, T. and Li, H. (1995) 'On the steady-state queue size distribution of the discrete-time Geo/G/1 queue with repeated customers', Queueing Systems, Vol. 21, pp.199-215.
34. Yang, T. and Templeton, J.G.C. (1987) 'A survey on retrial queues', Queueing Systems, Vol. 2, pp.201-233.
35. Yang, T., Posner, M.J.M., Templeton, J.G.C. and Li, H. (1994) 'An approximation method for the M/G/1 retrial queue with general retrial times', European Journal of Operational Research, Vol. 76, pp.552-562.