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Modeling and analysis of timed Petri nets using heaps of pieces

机译:使用片段堆对定时Petri网进行建模和分析

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The authors show that safe timed Petri nets can be represented by special automata over the (max, +) semiring, which compute the height of heaps of pieces. This extends to the timed case the classical representation a la Mazurkiewicz of the behavior of safe Petri nets by trace monoids and trace languages. For a subclass including all safe free-choice Petri nets, we obtain reduced heap realizations using structural properties of the net (covering by safe state machine components). The authors illustrate the heap-based modeling by the typical case of safe jobshops. For a periodic schedule, the authors obtain a heap-based throughput formula, which is simpler to compute than its traditional timed event graph version, particularly if one is interested in the successive evaluation of a large number of possible schedules.
机译:作者表明,安全定时的Petri网可以由(max,+)半环上的特殊自动机表示,该自动机可计算碎片堆的高度。这将定时的情况扩展为通过痕迹类id半群和痕迹语言对安全Petri网的行为的经典表示a Mazurkiewicz。对于包括所有安全自由选择Petri网的子类,我们使用网的结构属性(由安全状态机组件覆盖)获得减少的堆实现。作者通过安全车间的典型案例说明了基于堆的建模。对于周期性的计划,作者获得了一个基于堆的吞吐量公式,该公式比其传统的定时事件图版本更易于计算,尤其是如果您对大量可能的计划的连续评估感兴趣的话。

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