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On Exploitation of Supply Chain Properties by Sequential Distributed MPC

机译：顺序分布式MPC对供应链属性的开发

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In this work, we propose a sequential distributed MPC algorithm for control of a linear supply chain. The algorithm is developed by closely taking into account supply chain specifics and requirements from practice, e.g., orders and leavings are both treated as decision variables at each stage and communication between stages is kept low. We present the rather surprising result that terminal equality constraints employed in the local MPC formulations are inherently satisfied for the overall system, despite the presence of bilateral dynamic couplings and solving the local MPC problems sequentially. This is due to the stock and flow nature of the problem. The proposed algorithm is shown to be recursively feasible, to asymptotically satisfy a constant customer demand and to achieve asymptotic convergence of the local stock and backlog to the desired levels. This is illustrated by numerical simulations.
机译：在这项工作中，我们提出了一种用于控制线性供应链的顺序分布式MPC算法。通过密切考虑供应链的具体情况和实践需求来开发算法，例如，订单和请假都被视为每个阶段的决策变量，并且各个阶段之间的沟通保持较低水平。我们提出了一个相当令人惊讶的结果，尽管存在双边动态耦合并依次解决了本地MPC问题，但在本地MPC公式中采用的终端相等约束对于整个系统是固有满足的。这是由于问题的存量和流量性质。所提出的算法被证明是递归可行的，可以渐进地满足恒定的客户需求，并且可以实现本地库存的渐进收敛和积压到期望的水平。这通过数值模拟来说明。

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