两阶段混合制造系统模型的最优控制

C. Cassandras, Q. Liu, K. Gokbayrak, D. Pepyne
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引用次数: 33

摘要

我们扩展了先前对单阶段系统的最优控制问题的研究,考虑了一个两阶段制造系统,其中每个作业都具有以时间驱动动力学为特征的物理状态和以事件驱动动力学为特征的时间状态。我们推导了最优性的必要条件,并利用贝塞尔近似技术开发了一些新的显式求解算法。此外,我们还建立了最优控制序列的一些有意义的性质。
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Optimal control of a two-stage hybrid manufacturing system model
Extending previous work for an optimal control problem of a single-stage system, we consider a two-stage manufacturing system where each job has a physical state characterized by time-driven dynamics and a temporal state by event-driven dynamics. We derive necessary conditions for optimality and develop some new algorithms for explicit solution of the problem that make use of Bezier approximation techniques. In addition, we establish some properties of the optimal control sequence that have interesting implications.
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