This paper concerns production allocation in multicell manufacturing systems. The production objective is to track a nonstationary demand as closely as possible when the demand is near or exceeds the capacity of the system. The contribution of this paper is threefold. First, a series of approximations are proposed to obtain a model that is realistic while admitting a tractable solution. Second, we derive a general result on the second-order finite-time (transient) statistics of a continuous-time Markov chain. Simulation results are presented to illustrate the proposed model and control methodology.
Akella, Ram, B. Krogh, and Medini Singh. "Efficient computation of coordinating controls in hierarchical structures for failure-prone multi-cell flexible assembly systems." IEEE Transactions on Robotics and Automation 6, no. 6 (December 1990): 659-672.
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