A sufficient condition for instability of buffer priority policies in re-entrant lines

We use a buffer-boundedness approach to study the stability of re-entrant lines with a buffer priority scheduling policy. Using Petri net models we establish a sufficient condition for instability of such systems having a positive feedback loop. An example of unstable systems is also given.

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Bibliographic Details
Published in:IEEE transactions on automatic control 2003-07, Vol.48 (7), p.1235-1238
Main Authors: Chuang Lin, Mingwei Xu, Marinescu, D.C., Fengyuan Ren, Zhiguang Shan
Format: Article
Language:English
Subjects:
Applied sciences
Automata. Logic controller
Automatic control
Buffers
Buildings
Computer science
control theory
systems
Control theory. Systems
Convergence
Exact sciences and technology
Feedback loop
Instability
Job shop scheduling
Manufacturing systems
Miscellaneous
Petri nets
Policies
Positive feedback
Priorities
Priority scheduling
Stability
Steady-state
Sufficient conditions
Telecommunication traffic
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Description
Summary:We use a buffer-boundedness approach to study the stability of re-entrant lines with a buffer priority scheduling policy. Using Petri net models we establish a sufficient condition for instability of such systems having a positive feedback loop. An example of unstable systems is also given.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2003.814268