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The M/G/1 queue with instantaneous Bernoulli feedback. (English) Zbl 0448.60067


MSC:

60K25 Queueing theory (aspects of probability theory)
60K20 Applications of Markov renewal processes (reliability, queueing networks, etc.)
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References:

[1] Advanced Calculus, (McGraw-Hill, New York, 1956). · Zbl 0075.03801
[2] ”Proof of a Conjecture on the Interarrival-Time Distribution in an M/M/1 Queue with Feedback,” IEEE Transactions on Communications, 575–576 (May 1976). · Zbl 0343.60061
[3] Introduction to Queueing Theory, (MacMillan, New York, 1972). · Zbl 0284.60085
[4] d’Avignon, Management Science 24 pp 168– (1977)
[5] Disney, Management Science 19 pp 1222– (1973)
[6] ”Sojourn Times in M/G/1 Queues with Instantaneous, Bernoulli Feedback,” Proceedings Conference on Point Processes and Queueing Theory, Keszthely, Hungary (September 1978).
[7] ”On the Output Process of an M/M/1 Queue with Feedback,” Talk given at San Francisco Meeting, Operations Research Society of America (May 1977).
[8] Jackson, Operations Research 5 pp 518– (1957)
[9] Melamed, Advances in Applied Probability 11 pp 422– (1979)
[10] Takács, Bell System Technical Journal 42 pp 509– (1963)
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