A two threshold vacation policy in multiserver queueing systems

European Journal of Operational Research

Volumn 168, Issue 1, 2006, Pages 153-163

  Tian, Naishuo ^a   Zhang, Zhe George ^b  

^a YANSHAN UNIVERSITY   (China)

^b WESTERN WASHINGTON UNIVERSITY   (United States)

Author keywords

Matrix geometric solutions; Multiserver queue; Server's vacation; Stochastic decomposition; Threshold policy

Indexed keywords

CLIENT SERVER COMPUTER SYSTEMS; CUSTOMER SATISFACTION; GEOMETRY; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; SERVERS;

MATRIX GEOMETRIC SOLUTIONS; MULTISERVER QUEUES; SERVER'S VACATION; STOCHASTIC DECOMPOSITION; THRESHOLD POLICY;

QUEUEING NETWORKS;

EID: 16244365861     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2004.01.053     Document Type: Article

References (22)

1. M. Afthab Begum, and R. Nadarajan Multiserver Markovian queueing system with vacation Optimization 1997 71 78
2. C.E. Bell Optimal operation of an M/M/2 queue with removable servers Operations Research 28 5 1980 1189 1204
3. X. Chao, and Y. Zhao Analysis of multi-server queues with station and server vacations European Journal of Operational Research 110 1998 392 406
4. B. Doshi Queueing systems with vacations - a survey Queueing Systems 1 1986 29 66
5. S.W. Fuhrmann, and R.B. Cooper Stochastic decomposition in the M/G/1 queue with generalized vacations Operations Research 33 1985 1117 1129
6. D. Gross, and C. Harris Fundamentals of Queueing Theory second ed. 1985 John Wiley & Sons New York
7. C. Harris, and W. Marchal State dependence in M/G/1 server vacation models Operations Research 36 1988 560 565
8. Hofri, M., 1986. Queueing systems with a procrastinating server. In: Proceedings of Joint Conference in Computer Performance Modeling, Measurement, and Evaluation, Raleigh, NC, pp. 245-253
9. O. Kella The threshold policy in the M/G/1 queue with server vacations Naval Research Logistics 36 1989 111 123
10. G. Latouche, and V. Ramaswami Introduction to Matrix Analytic Methods in Stochastic Modeling 1999 SIAM Philadelphia
11. x/G/1 queueing system Management Science 35 1989 708 721
12. Y. Levy, and U. Yechiali An M/M/c queue with server's vacations INFOR 14 1976 153 163
13. M. Miyazawa Decomposition formulas for single server queues with vacations: A unified approach Stochastic Models 10 1994 389 413
14. M. Neuts Matrix-Geometric Solutions in Stochastic Models 1981 John Hopkins University Press Baltimore
15. H. Takagi Queueing Analysis vol. 1 1991 Elsevier Science Publishers Amsterdam
16. J. Teghem Control of the service process in a queueing system European Journal of Operational Research 23 1986 141 158
17. N. Tian, and Z.G. Zhang Stationary distribution of GI/M/1 queue with PH type vacations Queueing Systems 44 2003 183 202
18. I. Viniotis, and A. Ephremidies Extension of the optimality of the threshold policy in heterogenous multiserver queueing systems IEEE Transactions on Automatic Control 33 1988 104 109
19. Z.G. Zhang, and C.E. Love The threshold policy in an M/G/1 queue with an exceptional first vacation INFOR 36 1998 193 204
20. Z.G. Zhang, and N. Tian Analysis of queueing systems with synchronous single vacations for idle servers Queueing Systems 45 2003 161 175
21. Z.G. Zhang, and N. Tian An analysis of queueing systems with multi-task servers European Journal of Operational Research 156 2004 375 389
22. Z.G. Zhang, R.G. Vickson, and M.J.A. van Eenige Optimal two-threshold policies in an M/G/1 queue with two vacation types Performance Evaluation 29 1993 63 80