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Shortest Legal Firing Sequence of Net Condition/Event Systems Using Integer Linear Programming

机译:使用整数线性规划的净条件/事件系统的最短法律射击序列

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Net condition/event systems (NCESs) are modular extensions of the well-known Petri nets. Due to their modular property and non-interleaving semantics, NCESs are applied in modeling, analysis, and control of dynamic reconfigurable discrete event systems in recent years. A system reconfiguration should be finished before the maximum permissible reconfiguration delay. Therefore, to compute a shortest legal firing sequence (SLFS) from the state where a reconfiguration requirement arises to a target state which is proper for implementing the required reconfiguration is necessary. This paper combines the optimality principle and integer linear programming (ILP) techniques to find an SLFS in NCESs under the firing rule 'arbitrary maximal steps', where both event processing modes 'AND' and 'OR' of transitions are considered. An SLFS can be computed in a single ILP step. The amount of variables and constraints is polynomial with the size of the underlying NCES and the maximum permissible reconfiguration delay. A manufacturing system is adopted as an illustrative example.
机译:NET条件/事件系统(NCESS)是众所周知的培养网的模块化扩展。由于其模块化特性和非交织语义,近年来,NCESS应用于动态可重构离散事件系统的建模,分析和控制。在最大允许的重新配置延迟之前,应完成系统重新配置。因此,为了从重新配置要求出现到适当用于实现所需重新配置的目标状态的状态来计算最短的法定射击序列(SLF)是必要的。本文结合了最优原理和整数线性编程(ILP)技术在发射规则“任意最大步骤”下找到NCES中的SLFS,其中考虑了转换的事件处理模式'和'和'或'。可以在单个ILP步骤中计算SLF。变量和约束量是多项式,其尺寸为底层,最大允许的重新配置延迟。采用制造系统作为说明性示例。

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