SSRN Author: Xun Yu ZhouXun Yu Zhou SSRN Content
https://www.ssrn.com/author=459592
https://www.ssrn.com/rss/en-usThu, 07 May 2020 01:18:41 GMTeditor@ssrn.com (Editor)Thu, 07 May 2020 01:18:41 GMTwebmaster@ssrn.com (WebMaster)SSRN RSS Generator 1.0New: Feedback Production Planning in a Stochastic Two-Machine Flowshop: Asymptotic Analysis and Computational ResultsThis paper presents an asymptotic analysis of hierarchical production planning in a manufacturing system with two tandem machines that are subject to breakdown and repair. Since the number of parts in the buffer between the two machines needs to be non-negative, the problem is inherently a state constrained problem. As the rate of machines breakdown and repair approaches infinity, the analysis results in a limiting problem in which the stochastic machine capacity is replaced by the equilibrium mean capacity. The value function for the original problem is proved to converge to the value function of the limiting problem. This suggests a heuristic to construct a feedback control for the original stochastic problem from the feedback control of the limiting deterministic problem. Computational results are presented to illustrate our heuristic.
https://www.ssrn.com/abstract=3590777
https://www.ssrn.com/1893916.htmlWed, 06 May 2020 11:53:36 GMTNew: Hierarchical Controls in Stochastic Manufacturing Systems with Machines in TandemThis paper presents an asymptotic analysis of hierarchical production planning in a manufacturing system with serial machines that are subject to breakdown and repair, and with convex costs. The machines capacities are modeled as Markov chains. Since the number of parts in the internal buffers between any two machines needs to be non-negative, the problem is inherently a state constrained problem. As the rate of change in machines states approaches infinity, the analysis results in a limiting problem in which the stochastic machines capacity is replaced by the equilibrium mean capacity. A method of "lifting" and "modification" is introduced in order to construct near optimal controls for the original problem by using near optimal controls of the limiting problem. The value function of the original problem is shown to converge to the value function of the limiting problem, and the convergence rate is obtained based on some a priori estimates of the asymptotic behavior of the Markov ...
https://www.ssrn.com/abstract=3590793
https://www.ssrn.com/1893908.htmlWed, 06 May 2020 11:48:11 GMTNew: Hierarchical Production Controls in a Two-Machine Stochastic Flowshop with a Finite Internal BufferThis paper presents an asymptotic analysis of hierarchical production planning in a manufacturing system with two tandem machines that are subject to breakdown and repair. The buffer between the two machines is assumed finite. Therefore, the number of parts in that buffer needs to be non-negative and bounded above by the buffer size. As the rate of change in machines states approaches infinity, the analysis results in a limiting problem in which the stochastic machine capacity is replaced by the equilibrium mean capacity. The value function for the original problem is proved to converge to the value function of the limiting problem. Moreover, controls for the original problem is constructed from near optimal controls of the limiting problem in a way which guarantees their asymptotic optimality. The convergence rate of the value function for the original problem to that of the limiting problem together with the error estimate for the constructed asymptotically optimal controls are ...
https://www.ssrn.com/abstract=3590797
https://www.ssrn.com/1893906.htmlWed, 06 May 2020 11:44:44 GMT