Summary
We consider a closed two-stage system of exponential processor sharing nodes and compute the distribution of a customer’s residence time at a node and his cycle time in the system.
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Coffmann, E.G., Jr.; Fayolle, G.; Mitrani, I.:Sojourn Times in a Tandem Queue with Overtaking: Reduction to a Boundary Value Problem, Preprint, 1984.
Coffmann, E.G., Jr.; Muntr, R.R.; TROTTER, H.: Waiting Time DistriDistributions for Processor Sharing Systems, J. Assoc. Comp. Mach. 17, 123–130, 1970
Daduna, H.: Burke’s Theorem on Passage Times in GORDON-NEWELL Networks, Adv. Appl. Prob. 16, 867–886, 1984
Mitra, D.: Waiting Time Distributions from Closed Queueing Network Models of Shared-Processor Systems, in: KYLSTRA, F.J. (ed.): Proc. Performance 81, North-Holland, Amsterdam, 113–131, 1981
Mitra, D.; Morrison, J.A.: Asymptotic Expansions of Moments of the Waiting Time in Closed and Open Processor-sharing Systems with Multiple Job Classes, Adv. Appl. Prob. 15, 813–839, 1983
Schassberger, R.: A New Approach to the M/G/1 Processor-sharing Queue, Adv. Appl. Prob. 16, 202–213, 1984
Sevcik, K.C.; Mitrani, I.: The Distribution of Queueing Network States at Input and Output Instants, J. Assoc. Comp. Mach. 28, 358–371, 1981
Simon, B.; Foley, R.D.: Some Results on Sojourn Times in Acyclic Jackson Networks, Manag. Sci. 25, 1027–1034, 1979
Walrand, D.J.; Varaiya, P.: Sojourn Times and the Overtaking Condition in Jacksonian Networks, Adv. Appl. Prob. 12, 1000–1018, 1980
Yashkov, S.F.: A Derivation of Response Time Distribution for an M/G/1 Processor Sharing Queue, Problems of Control and Information Theory 12, 133–148, 1981
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© 1985 Springer-Verlag Berlin Heidelberg
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Daduna, H. (1985). The Distribution of Residence Times and Cycle Times in a Closed Tandem of Processor Sharing Queues. In: Beilner, H. (eds) Messung, Modellierung und Bewertung von Rechensystemen. Informatik—Fachberichte, vol 110. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87472-7_10
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DOI: https://doi.org/10.1007/978-3-642-87472-7_10
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