Stochastic High-Level Petri Nets and Applications
IEEE Transactions on Computers
On deciding stability of scheduling policies in queueing systems
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
Fast Bounds for Stochastic Petri Nets
International Workshop on Timed Petri Nets
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
Global stability of generalized additive fuzzy systems
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
The concept of “stability” in asynchronous distributeddecision-making systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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A Petri net approach to determining the conditions for stability of a re-entrant system with buffer priority scheduling policy is described in this paper. The concept of buffer boundedness based on the dynamic behavior of the markings in the system model is emphasized. The method is used to demonstrate the stability of the first buffer first served (FBFS) and the last buffer first served (LBFS) scheduling policies. Finally a sufficient condition for instability of systems with a positive feedback loop (PFL) is established, and an example is given.