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Receding Horizon Control of Mixed Line Flow Shop Systems

机译:混合流水车间系统的后退水平控制

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We consider reliable mixed line flow shop systems that are composed of controllable and uncontrollable machines. These systems are assumed to receive arrivals at random instants and process jobs deterministically in the order of arrival so as to depart them before their deadlines that are revealed at the time of arrival. We model these flow shops as serial networks of queues operating under a non-preemptive first-come-first-served policy. Defining completion-time costs for jobs and process costs at controllable machines, a stochastic convex optimization problem is formulated where the control variables are the constrained service times of jobs at the controllable machines. As an on-line solution method to determine these service times, we propose a receding horizon controller, which solves a deterministic problem at each decision instant. We quantify the available future information by the look-ahead window size. Numerical examples demonstrate the value of information and that the no-waiting property of the full-information case is not observed in the partial-information case.
机译:我们考虑由可控和不可控机器组成的可靠的混合流水车间系统。假定这些系统在随机时刻接收到货,并按到达顺序确定性地处理作业,以便在到达时显示的最后期限之前将其离开。我们将这些流水车间建模为在非抢先先到先服务策略下运行的队列的串行网络。定义了可控机器的作业完成时间成本和过程成本,提出了一个随机凸优化问题,其中控制变量是可控机器上作业的受限服务时间。作为确定这些服务时间的在线解决方法,我们提出了一种后备水平控制器,该控制器可以解决每个决策时刻的确定性问题。我们通过超前窗口大小来量化可用的未来信息。数值示例说明了信息的价值,并且在部分信息情况下未观察到完整信息情况的无等待特性。

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