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A unified approach for finding the relationship between the continuous-time and the embedded Markov limiting distributions for a class of queueing problems

Published online by Cambridge University Press:  01 July 2016

J. L. Jain  and
Kiran Seth
J. L. Jain
Affiliation:
(University of Delhi)
Kiran Seth
Affiliation:
(Indian Institute of Technology, New Delhi)
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Abstract

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Type
Ninth Conference on Stochastic Processes and their Applications, Evanston, Illinois, 6–10 August 1979
Information
Advances in Applied Probability , Volume 12 , Issue 2 , June 1980 , pp. 309
Copyright
Copyright © Applied Probability Trust 1980 

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References

1. Cohen, J. W. (1969) The Single Server Queue. North-Holland, Amsterdam.Google Scholar
2. Hordijk, A. and Tijms, H. C. (1975) A simple proof of the equivalence of the limiting distribution of the continuous time and the embedded processes of the queue size in the M/G/1 queue. Matematical Centre Report BN 28/75.Google Scholar
3. Neuts, M. F. (1977) The mythology of steady state. Research Report, Department of Statistics and Computer Science, University of Delaware.Google Scholar
4. Neuts, M. F. (1978) An algorithmic solution to the GI/M/C queue with group arrivals. Research Report, Department of Statistics and Computer Science, University of Delaware.Google Scholar
5. Roes, P. B. M. (1975) A many server bulk queue. Operat. Res. 24, 1037–1044.Google Scholar