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首页> 外文期刊>International Journal of Production Research >Setting planned orders in master production scheduling under demand uncertainty
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Setting planned orders in master production scheduling under demand uncertainty

机译：在需求不确定的情况下在主生产计划中设置计划订单

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摘要

For single end-product master production scheduling with time-varying demand uncertainty and supply capacity, we study approaches to set replenishment quantities over the planning horizon. We present a stochastic programming model along with a simulation-based optimisation and two traditional approaches for setting order quantities. We compare these approaches to two new methods: gamma approximation and safety stock search. Computational experiments show that the gamma approximation and safety stock search perform well in terms of holding and shortage costs, with expected total cost on average, respectively, within 0.06% and 0.66% of the optimal from the stochastic program. On average, the two traditional approaches incur 12% and 45% higher cost than optimal. We provide managerial insights on the effects of parameters such as demand coefficient of variation (cv), utilisation, and target service level on the optimal total cost, the corresponding fill rate, and the relative performance of the approaches. We find that, for finite-normal demand, on average, the impact of target service level on cost is larger than that of demand cv, whose impact is larger than utilisation, except at high utilisation. We illustrate that, when demand is not normal, the gamma approximation significantly outperforms the existing normal approximation from Bollapragada and Rao (2006).
机译：对于具有不确定的时变需求和供应能力的单个最终产品主生产计划，我们研究了在计划范围内设置补货数量的方法。我们提出了一种随机编程模型，以及基于仿真的优化和设置订单数量的两种传统方法。我们将这些方法与两种新方法进行了比较：伽马近似和安全库存搜索。计算实验表明，在持有成本和短缺成本方面，γ近似和安全库存搜索效果良好，平均预期总成本分别在随机计划的最优值的0.06％和0.66％之内。平均而言，这两种传统方法的成本比最佳方法高出12％和45％。我们提供有关参数影响的管理见解，例如需求的变动系数（cv），利用率和目标服务水平对最佳总成本，相应的填充率以及方法的相对性能。我们发现，对于有限的正常需求，平均而言，目标服务水平对成本的影响大于需求cv的影响，需求cv的影响大于利用率，但利用率较高时除外。我们说明，当需求不正常时，伽马近似值明显优于Bollapragada和Rao（2006）的现有正常近似值。

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