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Conditional response times in the M/G/1 processor-sharing system

Published online by Cambridge University Press:  14 July 2016

B. K. Asare  and
F. G. Foster
B. K. Asare*
Affiliation:
Trinity College, Dublin
F. G. Foster*
Affiliation:
Trinity College, Dublin
*
∗ Postal address: Department of Statistics, Trinity College, Dublin 2, Ireland.
∗ Postal address: Department of Statistics, Trinity College, Dublin 2, Ireland.
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Abstract

The expected response time of a job that requires processing time t and meets n jobs on arrival in the M/G/1 processor-sharing system is derived.

Keywords

JOBPROCESSING TIMEOPERATING SYSTEMRESPONSE TIME
Type
Short Communications
Information
Journal of Applied Probability , Volume 20 , Issue 4 , December 1983 , pp. 910 - 915
Copyright
Copyright © Applied Probability Trust 1983 

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References

[1] Beneš, V. E. (1957) On queues with Poisson arrivals. Ann. Math. Statist. 28, 670–677.Google Scholar
[2] Brumelle, S. L. (1978) A generalization of Erlang's loss system to state dependent arrival and service rates. Math. Operat. Res. 3, 10–16.CrossRefGoogle Scholar
[3] Coffman, E. G., Muntz, R. R. and Trotter, H. (1970) Waiting time distributions for processor-sharing systems. J. Assoc. Comput. Mach. 17, 123–130.Google Scholar
[4] Foster, F. G. (1973) Stochastic processes. In Operational Research '72, ed. Ross, M., North-Holland, Amsterdam, 223–239.Google Scholar
[5] Kleinrock, L. (1967) Time-shared systems: a theoretical treatment. J. Assoc. Comput. Mach. 14, 242–261.Google Scholar
[6] Kleinrock, L. (1976) Queuing Systems, Vol. 2. Wiley, New York.Google Scholar
[7] Little, J. D. C. (1961) A proof of the queueing formula L = ? W. Operat. Res. 9, 383–387.Google Scholar
[8] O'donovan, T. M. (1974) Direct solutions of M/G/1 processor-sharing models. Operat. Res. 22, 1232–1235.CrossRefGoogle Scholar
[9] O'donovan, T. M. (1976) Conditional response time in M/M/1 processor-sharing models. Operat. Res. 24, 382–385.Google Scholar
[10] Sakata, M., Noguchi, S. and Oizumi, J. (1968) Analysis of a processor-shared queueing model for time-sharing systems. Proc. 2nd Hawaii Internat. Conf. Systems Sciences, 625–628.Google Scholar
[11] Sakata, M., Noguchi, S. and Oizumi, J. (1971) An analysis of the M/G/1 queue under round-robin scheduling. Operat. Res. 19, 371–385.Google Scholar