Value of capacity flexibility in manufacturing systems with seasonal demands
Value of capacity flexibility in manufacturing systems with seasonal demands
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具有季节性需求的制造系统产能灵活性的价值
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
A. Krishnamurthy
中科院分区：
文献类型：
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作者：
Sanketh Bhat;A. Krishnamurthy
在本文中，我们分析了受季节性需求影响的制造系统。该系统被建模为具有灵活生产率的单级生产设施，并且使用马尔可夫调制泊松过程对季节性需求进行建模。使用动态规划，我们在无限范围贴现预期成本和无限范围平均预期成本标准下制定最优策略。我们证明，最优政策是依赖于季节的基础库存政策和依赖于国家的生产率。此外，我们确定了关于净库存、季节需求和系统总体工作负载的最优策略的单调结构。然后，我们说明了季节性需求环境下产能和库存水平联合灵活性的价值。与实践中使用的政策的数字比较证明了容量灵活性的价值。
In this article, we analyze a manufacturing system subject to seasonal demands. The system is modeled as a single-stage production facility with flexible production rate, and seasonal demands are modeled using a Markov-modulated Poisson process. Using dynamic programming, we develop optimal policies under the infinite-horizon discounted expected cost and the infinite-horizon average expected cost criteria. We prove that the optimal policy is a season-dependent base-stock policy with state-dependent production rates. Furthermore, we identify the monotonic structure of the optimal policy with respect to the net inventory, the demand in a season, and the overall workload on the system. We, then, illustrate the value of joint flexibility in capacity and inventory levels under the seasonal demand settings. Numerical comparisons with the policies used in practice demonstrate the value of capacity flexibility.