A finite capacity bulk service queue with single vacation and Markovian arrival process

Journal of Applied Mathematics and Stochastic Analysis

Volumn 2004, Issue 4, 2004, Pages 337-357

  Gupta, U C ^a   Sikdar, Karabi ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34547592242     PISSN: 10489533     EISSN: 16872177     Source Type: Journal    
DOI: 10.1155/S1048953304403025     Document Type: Article

References (22)

1. C. Blondia Finite capacity vacation models with nonrenewal input J. Appl. Probab. 1991 28 1 174-197
2. S. Chakravarthy Analysis of a finite MAP/G/1 queue with group services Queueing Syst. Theory Appl. 1993 13 4 385-407
3. M. L. Chaudhry J. G. C. Templeton A First Course in Bulk Queues John Wiley & Sons New York 1983 A Wiley-Interscience Publication
4. B. D. Choi G. U. Hwang D. H. Han Supplementary variable method applied to the MAP/G/1 queueing system J. Austral. Math. Soc. Ser. B 1998 40 1 86-96
5. B. T. Doshi Queueing systems with vacations - a survey Queueing Syst. Theory Appl. 1986 1 1 29-66
6. J. M. Ferrandiz The BMAP/GI/1 queue with server set-up times and server vacations Adv. in Appl. Probab. 1993 25 1 235-254
7. U. C. Gupta K. Sikdar The finite-buffer M/G/1 queue with general bulk-service rule, single vacation Performance Evaluation 2004 57 2 199-219
8. U. C. Gupta P. Vijaya Laxmi Analysis of the MAP/Ga, b/1/N queue Queueing Syst. Theory Appl. 2001 38 2 109-124
9. S. Kasahara T. Takine Y. Takahashi T. Hasegawa MAP/G/1 queues under N-policy with and without vacations J. Oper. Res. Soc. Japan 1996 39 2 188-212
10. G. Latouche V. Ramaswami Introduction to Matrix Analytic Methods in Stochastic Modeling Society for Industrial and Applied Mathematics Pennsylvania 1999 ASA-SIAM Series on Statistics and Applied Probability
11. H. W. Lee B. Y. Ahn N. I. Park Decompositions of the queue length distributions in the MAP/G/1 queue under multiple and single vacations with N-policy Stoch. Models 2001 17 2 157-190
12. D. M. Lucantoni K. S. Meier-Hellstern M. F. Neuts A single-server queue with server vacations and a class of nonrenewal arrival processes Adv. in Appl. Probab. 1990 22 3 676-705
13. D. M. Lucantoni V. Ramaswami Efficient algorithms for solving the nonlinear matrix equations arising in phase type queues Comm. Statist. Stochastic Models 1985 1 1 29-51
14. S. K. Matendo A single-server queue with server vacations and a batch Markovian arrival process Cahiers Centre Études Rech. Opér. 1993 35 1-2 87-114
15. S. K. Matendo Some performance measures for vacation models with a batch Markovian arrival process J. Appl. Math. Stochastic Anal. 1994 7 2 111-124
16. M. F. Neuts Matrix-Geometric Solutions in Stochastic Models. An Algorithmic Approach Johns Hopkins University Press Maryland 1981 2 Johns Hopkins Series in the Mathematical Sciences
17. M. F. Neuts Structured Stochastic Matrices of M/G/1 Type and Their Applications Marcel Dekker New York 1989 5 Probability: Pure and Applied
18. Z. Niu Y. Takahashi A finite-capacity queue with exhaustive vacation/ close-down/setup times and Markovian arrival processes Queueing Syst. Theory Appl. 1999 31 1-2 1-23
19. H. Schellhaas Single server queues with a batch Markovian arrival process and server vacations OR Spektrum 1994 15 4 189-196
20. H. Takagi Queueing Analysis: A Foundation of Performance Evaluation. Vol. 1. Vacation and Priority Systems. Part 1 North-Holland Publishing Amsterdam 1991
21. H. Takagi Queueing Analysis: A Foundation of Performance Evaluation. Vol. 2. Finite Systems North-Holland Publishing Amsterdam 1993
22. H. Takagi Queueing Analysis: A Foundation of Performance Evaluation. Vol. 3. Discrete-Time Systems North-Holland Publishing Amsterdam 1993