On the Mx/G/1 retrial queue with bernoulli schedules and general retrial times

Asia-Pacific Journal of Operational Research

Volumn 19, Issue 2, 2002, Pages 177-194

  Kumar, B Krishna ^a   Arivudainambi, D ^a   Vijayakumar, A ^a  

^a ANNA UNIVERSITY   (India)

Author keywords

Batch arrival; Bernoulli vacation; Probability generating function; Retrial queue; Steady states; Stochastic decomposition

Indexed keywords

BATCH DATA PROCESSING; FUNCTIONS; SCHEDULING; SERVERS; STOCHASTIC PROGRAMMING;

BERNOULLI VACATIONS; RETRIAL QUEUES;

QUEUEING THEORY;

EID: 0036874580     PISSN: 02175959     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. Artalejo, J. R. and G. I. Falin (1994), Stochastic decomposition for retrial queues, Top 7, 329-342.
2. Artalejo, J. R. (1997), Analysis of an M/G/1 queue with constant repeated attempts and server vacations, Computers and Operations Research 24 (6), 493-504.
3. Artalejo, J. R. (1999a), Accessible bibliography on retrial queues, Mathematical and Computer Modeling 30, 1-6.
4. Artalejo, J. R. (1999b), A classified bibliography of research on retrial queues: Progress in 1990-1999, Top 7, 187-211.
5. Artalejo, J. R. and A. Gomez-Corral (1997), Steady state solution of a single server queue with linear repeated requests, Journal of Applied Probability 34, 223-233.
6. Chaudhry, M. L. and J. G. C. Templeton (1983), A First Course in Bulk Queues, John Wiley and Sons, New York.
7. Choi, B. D., K. H. Rhee and K. K. Park (1993), The M/G/1 retrial queue with retrial rate control policy, Probability in the Engineering and Informational Sciences 7, 29-46.
8. Cooper, R. B. (1970), Queues served in cyclic order: Waiting times, The Bell System Tech. Journal 49, 339-413.
9. Cooper, R. B. (1981), Introduction to Queueing Theory, North-Holland, New York.
10. Doshi, B. T. (1985), A note on stochastic decomposition in a GI/G/1 queue with vacation or setup times, Journal of Applied Probability 22, 419-428.
11. Doshi, B. T. (1986), Queueing system with vacations - A survey, Queueing Systems 1, 29-66.
12. Doshi, B. T. (1990), Single-server queues with vacations, in H. Takagi, ed.: Stochastic Analysis of Computer and Communications Systems, Elsevier Science, Amsterdam.
13. Falin, G. I. (1990), A survey of retrial queues, Queueing Systems 7, 127-168.
14. Falin, G. I. and J. G. C. Templeton (1997), Retrial Queues, Chapman and Hall, New York.
15. Fuhrman, S. W. and Cooper, R. B. (1985), Stochastic decomposition in the M/G/1 queue with generalized vacations, Operations Research 33, 1117-1129.
16. Gomez-Corral, A. (1999), Stochastic analysis of a single server retrial queue with general retrial times, Naval Research Logistics 46, 561-581.
17. Keilson, J., J. Cozzolino and H. Young (1968), A service system with unfilled requests repeated, Operations Research 16, 1126-1137.
18. Keilson, J. and L. D. Servi (1986), Oscillating random walk models for GI/G/1 vacation system with Bernoulli schedules, Journal of Applied Probability 23, 790-802.
19. Langaris, C. (1999), Gated polling models with customers in orbit, Mathematical and Computer Modeling 30, 171-187.
20. Langaris, C. and E. Moutzoukis (1995), A retrial queue with structured batch arrivals, priorities and server vacations, Queueing Systems 20, 341-368.
21. Levy, Y. and U. Yechiali (1975), Utilization of idle time in an M/G/1 queueing system, Management Science 22, 202-211.
22. Ramaswamy, R. and L. D. Servi (1988), The busy period of the M/G/1 vacation model with a Bernoulli schedule, Stochastic Models 4 (3), 507-521.
23. Sennot, L. I., P. A. Humblet and R. L. Tweedi (1983), Mean drifts and the non-ergodicity of Markov chains, Operations Research 31, 783-789.
24. Servi, L. D. (1986), Average delay approximation of M/G/1 cyclic service queues with Bernoulli schedule, IEEE Journal on Selected Areas in Communications SAC-4 (6), 813-822, Correction in Vol. SAC-5 (3), 547 (1987).
25. Takagi, H. (1991), Queueing Analysis, Volume I: Vacation and Priority Systems, North-Holland, Amsterdam.
26. Tedijanto, (1990), Exact results for the cyclic-service queue with a Bernoulli schedule, Performance Evaluation 11, 107-115.
27. Teghem, J. (1986), Control of the service process in a queueing system, European Journal of Operational Research 23, 141-158.
28. Yang, T. and H. Li (1994), The M/G/1 retrial queue with the server subject to starting failures, Queueing Systems 16, 83-96.
29. Yang, T. and J. G. C. Templeton (1987), A survey on retrial queue, Queueing Systems 2, 201-233.