A batch server with service times dependent on the number of served customers

ESM 2007 - 2007 European Simulation and Modelling Conference: Modelling and Simulation 2007

Volumn , Issue , 2007, Pages 214-219

  Claeys, Dieter ^a   Walraevens, Joris ^a   Laevens, Koenraad ^a   Bruneel, Herwig ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

Markov chain; Performance analysis; Queueing; Stochastic; Transforms

Indexed keywords

MARKOV PROCESSES; MATHEMATICAL TRANSFORMATIONS; MODAL ANALYSIS; QUEUEING NETWORKS; QUEUEING THEORY; TELECOMMUNICATION NETWORKS;

BATCH SERVICE; DISCRETE-TIME QUEUEING MODEL; PERFORMANCE ANALYSIS; PROBABILITY GENERATING FUNCTIONS; QUEUEING; QUEUEING MODEL; STEADY STATE PROBABILITIES; STOCHASTIC;

SALES;

EID: 77955553801     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. Bruneel, H.; Steyaert, B.; Desmet, E. and Petit, G.H. 1994. " Analytic derivation of tail probabilities for queue lengths and waiting times in ATM multiserver queues." European Journal of Operational Research, No.4, 563 572.
2. Chaudhry, M.L. and Templeton, J.G.C. 1983. A First Course in Bulk Queues. Wiley, New York.
3. Claeys, D.; Walraevens, J.; Laevens, K. and Bruneel, H. 2007. "A Discrete-time Queueing Model with a Batch Server Operating under the Minimum Batch Size Rule". Proceedings of the 7th International Conference on Next Generation Teletraffic and Wired/Wireless Advanced Networking (St. Petersburg, Sept. 10-14). Lecture Notes in Computer Science 4712, 248 259.
4. Dummler, M.A. and Schomig, A.K. 1999. "Using Discrete-time Analysis in the Performance Evaluation of Manufacturing Systems". Proceedings of the International Conference on Semiconductor Manufacturing Operational Modeling and Simulation (San Francisco, California, Jan. 18 20).
5. Fiems, D. and Bruneel, H. 2002. "A note on the discretization of Little's result". Operations Research Letters, No.30, 17-18.
6. Goswami, V.; Mohanty, J.R. and Samanta, S.K. 2006. "Discrete-time bulk-service queues with accessible and non-accessible batches". Applied Mathematics and Computation, No. 182, 898 906.
7. Gupta, U.C. and Goswami, V. 2002. "Performance analysis of finite buffer discrete-time queue with bulk service". Computers & Operations Research, No.29, 1331-1341.
8. Powell, W.B. and Humblet, P. 1986. "The bulk service queue with a general control strategy: theoretical analysis and a new computational procedure". Operations Research, No.34(2), 267-275.
9. Kim, N.K. and Chaudhry, M.L. 2006. "Equivalences of Batch-Service Queues and Multi-Server Queues and Their Complete Simple Solutions in Terms of Roots". Stochastic Analysis and Applications, No.24, 753 766.
10. Neuts, M.F. 1967. "A general class of bulk queues with Pois-son input". Ann. Math. Stat, No. 38, 759-770.
11. Qiao, CM and Yoo, M.S. 1999. Optical burst switching (OBS) - a new paradigm for an optical Internet. Journal of high speed networks, No.8(1), 69-84.
12. Samanta, S.K.; Chaudhry, M.L. and Gupta, U.C. 2007. "Discrete-time Geox\G(a'b)\l\N queues with single and multiple vacations". Mathematical and Computer Modelling, No.45, 93-108.
13. Yi, X.W.; Kim, N.K.; Yoon, B.K and Chae, K.C. 2007. "Analysis of the queue-length distribution for the discrete-time batch-service Geox \Ga, Y \1\K queue". European Journal of Operational Research, No. 181, 787-792.