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Title: | An upper bound on the cycle time of a stochastic marked graph using incomplete information on the transition firing time distributions | Authors: | JANSSENS, Gerrit K. Sorensen, Kenneth Dullaert, Wout |
Issue Date: | 2009 | Publisher: | PERGAMON-ELSEVIER SCIENCE LTD | Source: | MATHEMATICAL AND COMPUTER MODELLING, 49(3-4). p. 563-572 | Abstract: | Stochastic marked graphs, a special class of stochastic timed Petri nets, are used for modelling and analyzing decision-free dynamic systems with uncertainties in timing. The model allows evaluating the performance of such systems under a cyclic process. Given the probabilistic characteristics of the transition times, the cycle time of the system can be determined from the initial marking. In this contribution, we compute an upper bound on the cycle time of a stochastic marked graph in case the probabilistic characteristics of the transition times are not fully specified. (C) 2008 Elsevier Ltd. All rights reserved. | Notes: | [Janssens, Gerrit K.] Hasselt Univ, Fac Appl Econ, B-3590 Diepenbeek, Belgium. [Sorensen, Kenneth] Catholic Univ Louvain, Ctr Ind Management, B-3001 Heverlee, Belgium. [Dullaert, Wout] Univ Antwerp, Inst Transport & Maritime Management Antwerp, B-2000 Antwerp, Belgium. [Dullaert, Wout] Antwerp Maritime Acad, B-2030 Antwerp, Belgium. | Keywords: | Petri nets; Stochastic marked graphs | Document URI: | http://hdl.handle.net/1942/9205 | ISSN: | 0895-7177 | DOI: | 10.1016/j.mcm.2008.04.012 | ISI #: | 000262124500018 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2010 |
Appears in Collections: | Research publications |
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