PaperComparative effectiveness of certain queueing systems with adaptive demand and service mechanisms
References (12)
- et al.
On the improvement of the operational characteristics of single server queues by use of a queue length dependent mechanism
Appl. Statist.
(1969) On the service time distribution and waiting time process of a potentially infinite capacity queueing system
J. appl. Prob.
(1969)Some applications of the theory of infinite capacity service systems to a single server system with linearly state dependent service
J. appl. Prob.
(1971)A queueing model with variable arrival rates
Per. Math. Hung.
(1975)On a queueing model where potential customers are discouraged by queue length
Scand. J. Statist.
(1975)The generalised state dependent Erlangian queue: speculations on calculations of measures of effectiveness
J. appl. Prob.
(1975)
Cited by (2)
A state-dependent queueing system with asymptotic logarithmic distribution
2018, Journal of Mathematical Analysis and ApplicationsCitation Excerpt :A systematic study of the birth–death queue with varying arrival and service rates has been carried out by Abate, Conolly, Chan, Gupta and Srinivasa Rao, Hadidi, Kyriakidis, Natvig, Parthasarathy and Servaraju, Sharma, Sudhesh, Van Doorn. These authors give transient and stationary solutions for the queue length process, waiting time, busy period and output for special birth–death queues with adaptive demand and service mechanism (see [1,5,11–13,22,24,25,32–34,36,39,40,44]). The transient analysis of the state-dependent queueing systems often presents considerable difficulties and also numerical solutions are generally difficult to get.
Interrelationship between controlling arrival and service in queueing systems
1995, Computers and Operations Research
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Jimmy Chan is an Operational Research Scientist in the Management Service Division of the North-East Thames Regional Health Authority. He was an undergraduate and postgraduate student at Chelsea College, University of London. The subject matter of this paper is a condensed version of part of his Ph.D. Thesis.
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Brian Conolly is the Professor of Mathematics (Operational Research) in the University of London, at Chelsea College. He is interested in all aspects of applicable mathematics and has published extensively, in particular in the area of Applied Probability. He is a member of the editorial advisory board of this journal.