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Efficient calculation method of the transition matrix for Max-Plus Linear systems with buffer constraint

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3 Author(s)
Goto, H. ; Dept. of Manage. & Inf. Syst. Sci., Nagaoka Univ. of Technol., Nagaoka ; Kasahara, M. ; Tanaka, M.

This research considers an efficient calculation method for the transition matrix in an MPL (Max-Plus Linear) state-space representation. This matrix can be generated by applying the Kleene star operator to an adjacency matrix. The proposed method, based on the idea of a topological sort in graph theory and block splitting, is able to calculate the transition matrix efficiently.

Published in:

Management of Innovation and Technology, 2008. ICMIT 2008. 4th IEEE International Conference on

Date of Conference:

21-24 Sept. 2008