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(1971)
Introductwn to Probabdity Theory and Its Apphcations
CHAMPERNOWNE D.G (1956)
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J. Wong (1978)
Distribution of End-to-End Delay in Message-Switched NetworksComput. Networks, 2
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An IntroducUon to Probabdity
W. Gordon, G. Newell (1967)
Closed Queuing Systems with Exponential ServersOper. Res., 15
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A proof for the queuemg formula' L ~ XW Opcr
M. Reiser, Hisashi Kobayashi (1974)
The Effects of Service Time Distributions on System Performance
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Queues Methuen's Monographs
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K. Marshall, R. Wolff (1971)
Customer average and time average queue lengths and waiting timesJournal of Applied Probability, 8
(1968)
An IntroducUon to Probabdity Theory and Its Applications
Philip Yu (1977)
Passage time distributions for a class of queueing networks: closed, open, or mixed, with difference classes of customers with applications to computer system modeling
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A proof for the queuemg formula
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Journal of the Assoclauon for Computing Machinery
CHAMPERNOWNE D.G (1956)
An elementary method of solution of the queuemg problem with a single server and constant parameter Z Royal StatSoc, 18
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D. Iglehart, G. Shedler (1980)
Regenerative Simulation of Response Times in Networks of QueuesJ. ACM, 25
The cycle time distribution of a cyclic queue with two exponential servers is derived. Results show that when the population size N is large enough, the cycle time distribution is not sensitive to the ratio of service rates and asymptotically approaches an Erlangian distribution. If service rates are identical, however, the cycle time has an exact Erlangian distribution for any N .
Journal of the ACM (JACM) – Association for Computing Machinery
Published: Apr 1, 1980
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