The Time-To-Empty For Tandem Jackson Networks

Authors:
Michael A. Zazanis
Affiliations:
Department of Statistics, Athens University of Economics and Business, Athens 104 34, Greece, zazanis@aueb.gr
Venue:
Probability in the Engineering and Informational Sciences
Year:
2004

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Abstract

We derive the distribution of the time-to-empty for an open tandem Jackson network assuming that while in equilibrium at time 0, the arrival stream is suddenly shut off. The analysis is based on analogous results regarding the distribution of the time-to-empty for the corresponding closed tandem Jackson network. The results obtained are used in the analysis of a two-class tandem Jackson network with FIFO discipline in which customers of the second class have negligible service times.