Abstract
Theory regarding marked graphs is not applicable when concurrent systems must be constructed as a petri net in which each place has exactly one input and output transition and there exist multiple arcs between a place and a transition. Many parallel programs and manufacturing systems capable of bulk production can be modeled as such multiple-weighted marked graphs, called WMGs for short. Motivated by the practical need in analyzing their performance, this paper presents the conditions under which a WMG can be evaluated. An application to a parallel computer system is also given
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