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## One-Dependent Cycles and Passage Times in Stochastic Petri Nets.

Haas, Peter J.;
Shedler, Gerald S.
In:
*IEEE Computer Soc. Press, Proc. of 6th International Workshop on Petri Nets and Performance Models - PNPM'95, Durham, N. Carolina, USA*, pages 191-202.
1995.

Abstract:
The lengths of certain passage-time intervals (random time intervals) in
stochastic Petri nets correspond to delays in computer, communication,
manufacturing, and transportation systems. Simulation is often the only
available means for analyzing a sequence of such lengths. It is sometimes
possible to obtain meaningful estimates for the limiting average delay
indirectly, that is, without measuring lengths of individual passage-time
intervals. For general time-average limits of a sequence of delays,
however, it is necessary to measure individual lengths and combine them to
form point and interval estimates. We consider sequences of delays
determined by marking changes of the net and use a sequence of random
vectors, called start vectors, to provide the link between the starts and
terminations of individual passage-time intervals. This method of start
vectors for measuring delays avoids the need for additional places and
transitions to tag entities in the system.

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