An extended event graph with negative places and negative tokens for time window constraints

Tae-Eog Lee, Jeong-Won Seo, Seong-Ho Park
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引用次数: 13

Abstract

We introduce negative places and negative tokens into timed event graphs in order to model and analyze time window constraints. A negative token moves backward at an associated transition firing. We develop a necessary and sufficient condition, based on the circuits, for the event graph to be live. A sequence of feasible infinite firing epochs exists for each transition. We present a linear programming model for finding a stable firing schedule. We also characterize the minimal cycle time as a revised critical circuit ratio and the range of the feasible cycle times.
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带有负位置和负标记的扩展事件图,用于时间窗口约束
我们在时间事件图中引入负位置和负标记,以便建模和分析时间窗口约束。负令牌在关联的转换触发时向后移动。在电路的基础上,给出了事件图为活的充分必要条件。每个跃迁都存在一个可行的无限发射期序列。我们提出了一个线性规划模型来寻找一个稳定的发射计划。我们还将最小周期时间描述为修正的临界电路比和可行周期时间的范围。
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