An M/M/2 queueing system with heterogeneous servers and multiple vacations

Mathematical and Computer Modelling

Volumn 41, Issue 13, 2005, Pages 1415-1429

  Kumar, B Krishna ^a   Madheswari, S Pavai ^a  

^a ANNA UNIVERSITY   (India)

Author keywords

Busy period; Heterogeneous servers; Mean waiting time; Multiple vacations; System size

Indexed keywords

MARKOV PROCESSES; NUMERICAL ANALYSIS; SERVERS; TIME MEASUREMENT;

BUSY PERIOD; HETEROGENEOUS SERVERS; MEAN WAITING TIME; MULTIPLE VACATIONS; SYSTEM SIZE;

QUEUEING NETWORKS;

EID: 27144456639     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2005.02.002     Document Type: Article

References (16)

1. B.T. Doshi Queueing system with vacations - A survey Queueing Systems 1 1986 29 66
2. Y. Levy, and U. Yechiali Utilization of idle time in an M/G/1 queueing system Management Science 22 1975 202 211
3. J. Teghem Control of the service process in a queueing system European Journal of Operational Research 23 1986 141 158
4. B.T. Doshi Single-server queues with vacations H. Takagi Stochastic Analysis of Computer and Communications Systems 1990 Elsevier River Edge, NJ 217 265
5. H. Takagi Queueing Analysis, A Foundation of Performance Evaluation, Volume 1: Vacation and Priority Systems 1991 North-Holland Amsterdam
6. Y. Levy, and U. Yechiali An M/M/S queue with servers' vacations Infor 14 1976 153 163
7. E.P.C. Kao, and K.S. Narayanan Analyses of an M/M/N queue with servers' vacations European Journal of Operational Research 54 1991 256 266
8. W.J. Gray, P.P. Wang, and M. Scott Single counter queueing models involving multiple servers Opsearch 34 4 1997 283 296
9. A. Tyagi, J. Harms, and A. Kamal Analysis of M/M/S queues with 1-limited service Journal of Operational Research Society 53 2002 752 767
10. I.L. Mitrany, and B. Avi-Itzhak A many server queue with service interruptions Operations Research 16 1967 628 638
11. M.F. Neuts, and D.M. Lucantoni A Markovian queue with N servers subject to breakdowns and repairs Management Science 25 1979 849 861
12. M.F. Neuts, and Y. Takahashi Asymptotic behaviour of the stationary distribution in the GI/PH/c queue with heterogeneous servers Z. Wahrscheinlickeitsth 57 1981 441 452
13. G. Latoche, and V. Ramaswami Introduction to Matrix Analytic Methods in Stochastic Modelling 1999 ASA-SIAM Amsterdam
14. M.F. Neuts Matrix-Geometric Solutions in Stochastic Models: An Algorithmic Approach 1981 Johns Hopkins University Press Philadelphia, PA
15. G. Latoche A note on two matrices occurring in the solution of quasi-birth-and-death processes Stochastic Models 3 1987 251 267
16. J.G. Kemeny, and J.L. Snell Finite Markov Chains 1960 Van Nostrand Baltimore, MD