Mayr, Richard M. and Abdulla, Parosh Aziz - Priced Timed Petri Nets

lmcs:874 - Logical Methods in Computer Science, November 12, 2013, Volume 9, Issue 4
Priced Timed Petri Nets

Authors: Mayr, Richard M. and Abdulla, Parosh Aziz

We consider priced timed Petri nets, i.e., unbounded Petri nets where each token carries a real-valued clock. Transition arcs are labeled with time intervals, which specify constraints on the ages of tokens. Furthermore, our cost model assigns token storage costs per time unit to places, and firing costs to transitions. This general model strictly subsumes both priced timed automata and unbounded priced Petri nets. We study the cost of computations that reach a given control-state. In general, a computation with minimal cost may not exist, due to strict inequalities in the time constraints. However, we show that the infimum of the costs to reach a given control-state is computable in the case where all place and transition costs are non-negative. On the other hand, if negative costs are allowed, then the question whether a given control-state is reachable with zero overall cost becomes undecidable. In fact, this negative result holds even in the simpler case of discrete time (i.e., integer-valued clocks).

Source :
DOI : 10.2168/LMCS-9(4:10)2013
Volume: Volume 9, Issue 4
Published on: November 12, 2013
Submitted on: June 21, 2012
Keywords: Computer Science - Logic in Computer Science,Computer Science - Formal Languages and Automata Theory


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