Timetable design for a helicopter maintenance process using timed event petri nets and max-plus algebra

Research output: Contribution to conferencePaperResearch

Abstract

In this paper an algorithm for computing a generalized eigenmode of reducible regular matrices over the max-plus algebra is applied to a helicopter maintenance process. A timed event Petri net model is constructed from the state transition dynamics table that characterizes the transport system. A max-plus recurrence equation, with a reducible and regular matrix, is associated to the timed event Petri net. Next, given the reducible and regular matrix, the problem consists in giving an algorithm which will tell us how to compute its generalized eigenmode over the max plus algebra. The solution to the problem is achieved by studying some type of recurrence equations. In fact, by transforming the reducible regular matrix into its normal form, and considering a very specific recurrence equation, an explicit mathematical characterization is obtained, upon which the algorithm is constructed. The generalized eigenmode obtained sets a timetable for the helicopter maintenance process. ©2010 IEEE.
Original languageAmerican English
Pages4072-4077
Number of pages3664
DOIs
StatePublished - 13 Aug 2010
Event2010 Chinese Control and Decision Conference, CCDC 2010 -
Duration: 13 Aug 2010 → …

Conference

Conference2010 Chinese Control and Decision Conference, CCDC 2010
Period13/08/10 → …

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Petri nets
helicopters
maintenance
algebra
matrices

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Königsberg, Zvi Retchkiman. / Timetable design for a helicopter maintenance process using timed event petri nets and max-plus algebra. Paper presented at 2010 Chinese Control and Decision Conference, CCDC 2010, .3664 p.
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abstract = "In this paper an algorithm for computing a generalized eigenmode of reducible regular matrices over the max-plus algebra is applied to a helicopter maintenance process. A timed event Petri net model is constructed from the state transition dynamics table that characterizes the transport system. A max-plus recurrence equation, with a reducible and regular matrix, is associated to the timed event Petri net. Next, given the reducible and regular matrix, the problem consists in giving an algorithm which will tell us how to compute its generalized eigenmode over the max plus algebra. The solution to the problem is achieved by studying some type of recurrence equations. In fact, by transforming the reducible regular matrix into its normal form, and considering a very specific recurrence equation, an explicit mathematical characterization is obtained, upon which the algorithm is constructed. The generalized eigenmode obtained sets a timetable for the helicopter maintenance process. {\circledC}2010 IEEE.",
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Königsberg, ZR 2010, 'Timetable design for a helicopter maintenance process using timed event petri nets and max-plus algebra' Paper presented at 2010 Chinese Control and Decision Conference, CCDC 2010, 13/08/10, pp. 4072-4077. https://doi.org/10.1109/CCDC.2010.5498417

Timetable design for a helicopter maintenance process using timed event petri nets and max-plus algebra. / Königsberg, Zvi Retchkiman.

2010. 4072-4077 Paper presented at 2010 Chinese Control and Decision Conference, CCDC 2010, .

Research output: Contribution to conferencePaperResearch

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