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Minimum initial marking in timed marked graphs

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2 Author(s)
Rodriguez-Beltran, J. ; CINVESTAV-IPN, Mexico City, Mexico ; Ramfrez-Trevino, A.

This paper addresses the minimum initial marking (MIM) in timed marked graphs. In this problem both the net and the cycle time are fixed, so the problem consists in finding out a minimum initial marking M0 such that the cycle time of the TMG will be less or equal to the required one. The main result of this work is the heuristic algorithm MIM Solver to solve the MIM problem. It computes a subset of p-semiflows and adds tokens to places in two steps. First it adds the minimum number of tokens needed to reduce the difference between the required cycle time πd and the cycle time πi of each p-semiflow belonging to the computed subset. The difference π di>0 must be minimum. In this step a heuristic based on the places belonging to the maximum number of p-semiflows is used. Afterwards, the algorithm adds the largest number of tokens in p-semiflows to fulfil cycle time constraints. In this step a heuristic based on the places belonging to the shortest number of p-semiflows is used

Published in:

Systems, Man, and Cybernetics, 2000 IEEE International Conference on  (Volume:4 )

Date of Conference:

2000

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