Initial resource allocation of real-time systems based on minimum initial states of labeled time Petri nets
To solve the problem of minimum initial resource allocation for completing a specific sequence of tasks in a real-time system,this paper proposes a method based on the minimum initial state estimation of labeled time Petri nets.By improving the minimal initial marking(MIM)estimation algorithm of a labeled Petri net,an algorithm for estimating the MIMs in a labeled time Petri net is presented.Then,a path(i.e.,a transition sequence)modified state class graph(MSCG)is reported.By solving a set of linear programming problems associated with the timing constraints in the path MSCG,this paper determines which logic transition sequences associated with minimal initial states are consistent with the given time label sequence(TLS),so as to find the set of minimal initial states consistent with the TLS.Furthermore,the set of minimum initial states with the minimum total number of tokens is calculated.Finally,the feasibility and effectiveness of the proposed method are verified by an example.
discrete event systemresource allocationtime Petri netstate class graphstate estimation