For the minimum initial marking (MIM) problem is one of minimum resource allocation problems, it is significant to study the MIM problem for a class of hybrid timed Petri nets, called a hybrid timed event graph (HTEG). An HTEG has additional continuous places and continuous transitions than a timed event graph (TEG). By the construction of a new dioid endowed with the pointwise minimum as addition and the composition of functions as multiplication, a linear min-plus algebraic model of HTEG was derived. Based on the min-plus algebra and its properties, the MIM problem for HTEG was studied in the text. © Springer-Verlag Berlin Heidelberg 2005.
CITATION STYLE
Dai, H. (2005). Studies on the minimum initial marking of a class of hybrid timed Petri nets. In Lecture Notes in Computer Science (Vol. 3645, pp. 109–118). Springer Verlag. https://doi.org/10.1007/11538356_12
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