Numerical investigation of finite-source multiserver systems with different vacation policies

Journal of Computational and Applied Mathematics

Volumn 234, Issue 3, 2010, Pages 625-635

  Gharbi, Nawel ^a   Ioualalen, Malika ^a  

^a UNIVERSITY OF SCIENCES AND TECHNOLOGY HOUARI BOUMEDIENE   (Algeria)

Author keywords

Finite source; Generalized Stochastic Petri nets; Infinitesimal generator; Multiserver systems; Performance indices; Vacation policy

Indexed keywords

FINITE SOURCES; GENERALIZED STOCHASTIC PETRI NETS; INFINITESIMAL GENERATOR; MULTI-SERVER; SYSTEMS PERFORMANCE; VACATION POLICY;

COMPUTATION THEORY; GAME THEORY; GRAPH THEORY; MARKOV PROCESSES; PETRI NETS; QUEUEING THEORY; SERVERS; STOCHASTIC SYSTEMS;

STOCHASTIC MODELS;

EID: 77949492031     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2009.11.040     Document Type: Review

References (17)

1. Doshi B.T. Queueing systems with vacations: A survey. Queueing Systems 1 1 (1986) 29-66
2. Tian N., and Zhang Z.G. Vacation Queueing Models: Theory and Applications. International Series in Operations Research & Management Science 93 (2006)
3. Artalejo J.R., and López-Herrero M.J. On the M/M/m queue with removable servers. In: Srinivasan S.K., and Vijayakumar A. (Eds). Stochastic Point Processes (2003), Narosa Publishing House 124-144
4. Sikdar K., and Gupta U.C. Analytic and numerical aspects of batch service queues with single vacation. Computers and Operations Research 32 (2005) 943-966
5. Tian N., Li Q., and Gao J. Conditional stochastic decompositions in the M/M/c queue with server vacations. Stochastic Models 15 2 (1999) 367-377
6. Tian N., and Zhang Z.G. Quantifying the performance effects of idle time utilization in multiserver systems. Naval Research Logistics 54 2 (2006) 189-199
7. Tian N., and Zhang Z.G. A two threshold vacation policy in multiserver queueing systems. European Journal of Operational Research 168 1 (2006) 153-163
8. Xu X., and Zhang Z.G. Analysis of multi-server queue with a single vacation (e, d)-policy. Performance Evaluation 63 8 (2006) 825-838
9. Chao X., and Zhao Y.Q. Analysis of multi-sever queues with station and server vacations. European Journal of Operational Research 110 2 (1998) 392-406
10. Tian N., and Xu X. M/M/c queue with synchronous multiple vacation of partial servers. Operations Research Transactions 5 3 (2001) 85-94
11. Zhang Z.G., and Tian N. Analysis of queueing systems with synchronous single vacation for some servers, Queueing Systems. Theory and Applications 45 2 (2003) 161-175
12. Zhang Z.G., and Tian N. Analysis of queueing systems with synchronous vacations of partial servers. Performance Evaluation 52 4 (2003) 269-282
13. Ajmone Marsan M., Balbo G., Conte G., Donatelli S., and Franceschinis G. Modelling with Generalized Stochastic Petri Nets (1995), John Wiley & Sons, New York
14. Diaz M. Les Réseaux de Petri-Modéles Fondamentaux (2001), Hermés Science Publications, Paris
15. Ibe O.C., and Trivedi K.S. Stochastic Petri net analysis of finite-population vacation queueing systems. Queueing Systems 8 (1991) 111-128
16. N. Gharbi, M. Ioualalen, Performance evaluation of multi-server queues with station and server vacations, in: Proc. International Industrial Simulation Conference, Malaga, Spain, 2004
17. Little J.D.C. A proof of the queueing formula: L = λ {dot operator} W. Operations Research 9 (1961) 383-387