A single server N-line queue in which a customer may receive special treatment

Communications in Statistics. Part C: Stochastic Models

Volumn 14, Issue 4, 1998, Pages 905-931

  Brill, P H ^a   Hlynka, M ^a  

^a UNIVERSITY OF WINDSOR   (Canada)

Author keywords

Ballot theorem; Exponential model; Jockeying; Join the shortest queue model; Parallel queues; Queueing

Indexed keywords

EID: 0342570871     PISSN: 08820287     EISSN: None     Source Type: Journal    
DOI: 10.1080/15326349808807507     Document Type: Article

References (9)

1. P.H. Brill and M. Hlynka, The "Who's Next" Queue with Two Lines, University of Windsor Mathematics Report, No. 93-08, 1993, 21 pp.
2. J.W. Cohen, The Single Server Queue, North Holland, 1982.
3. R.B. Cooper, Introduction to Queueing Theory (Second Edition), North Holland, 1981.
4. W. Feller, An Introduction to Probability Theory and its Applications, Vol. 1, (Third Edition), John Wiley and Sons, New York, 1970.
5. D. Gross and C. Harris, Fundamentals of Queueing Theory, (Second Edition), John Wiley and Sons, New York, 1985.
6. F. Haight, Two Queues in Parallel. Biometrika. 45, 1958, 401-410.
7. L. Kleinrock, Queueing Systems, Volume 1, John Wiley and Sons, New York, 1975.
8. S. Niu and R. Cooper, Duality and Other Results for M/G/1 and GI/M/1 Queues, via a New Ballot Theorem, Mathematics of Operations Research, 14, 1989, 281-293.
9. L. Takacs, Combinatorial Methods in the Theory of Stochastic Processes, John Wiley and Sons, New York, 1967.