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Given a timed marked graph →G, they ask if there exist a period p>0 and real numbers xu such that →G has a periodic schedule of the form fu k)="xu+p k−1) for each vertex u and any positive integer k.
However, finding an optimal perfectly periodic schedule is NP-hard.
The problem under consideration is to find an optimal periodic schedule satisfying the timing constraints.
As in our previous example, we use a fully periodic schedule and have compressed the contact opportunities in time.
By modelling a finite-state Markov decision process (MDP) problem, we can numerically search an asymptotic periodic schedule which is proven to be optimal.
We further provide a constructive proof that any feasible schedule with finite average estimation error can be arbitrarily approximated by a bounded periodic schedule.
Similar(45)
Computer scientists are particularly interested in periodic schedules.
Both large power grid and microgrid have periodic scheduling.
In this note we demonstrate an unexpected connection between circular colorings and periodic schedules.
The approach is exemplified for periodic schedules of cyclic flow shops.
Hence, periodic scheduling achieves the lowest mean waiting delay as shown by (6).
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