An upper bound on the cycle time of a stochastic marked graph using incomplete information on the transition firing time distributions |
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| Authors: | Gerrit K. Janssens Kenneth Sörensen Wout Dullaert |
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| Affiliation: | 1. Faculty of Applied Economics, Hasselt University–Campus Diepenbeek, Agoralaan - D building, 3590 Diepenbeek, Belgium;2. Center for Industrial Management, Catholic University of Louvain, Celestijnenlaan 300A, 3001 Leuven (Heverlee), Belgium;3. Institute for Transport and Maritime Management Antwerp, University of Antwerp, Keizerstraat 64, 2000 Antwerp, Belgium;4. Antwerp Maritime Academy, Noordkasteel Oost 6, 2030 Antwerpen, Belgium |
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| 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. |
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