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An Optimization Approach to Petri Net Monitor Design

机译：Petri网监视器设计的优化方法

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This note addresses the problem of enforcing generalized mutual exclusion constraints on a Petri net plant. First, we replace the classical partition of the event set into controllable and uncontrollable events from supervisory control theory, by associating a control and observation cost to each event. This leads naturally to formulate the supervisory control problem as an optimal control problem. Monitor places which enforce the constraint are devised as a solution of an integer linear programming problem whose objective function is expressed in terms of the introduced costs. Second, we consider timed models for which the monitor choice may lead to performance optimization. If the plant net belongs to the class of mono-T-semiflow nets, we present an integer linear fractional programming approach to synthesize the optimal monitor so as to minimize the cycle time lower bound of the closed loop net. For strongly connected marked graphs the cycle time of the closed-loop net can be minimized
机译：本说明解决了在陪替氏网植物上实施广义互斥约束的问题。首先，通过将控制和观察成本与每个事件相关联，我们根据监督控制理论将事件集的经典划分替换为可控制和不可控制的事件。这自然导致将监督控制问题表述为最佳控制问题。强制执行约束的监视器位置被设计为整数线性规划问题的解决方案，其目标函数以引入的成本表示。其次，我们考虑定时模型，监视器的选择可能会导致性能优化。如果工厂网属于单T型半流网，则我们提出一种整数线性分数规划方法来合成最佳监测器，从而最大程度地减少闭环网的循环时间下限。对于强连接的标记图，可以将闭环网络的周期时间最小化

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