家具企业生产计划中的随机规划模型

Douglas Alem, Reinaldo Morabito
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引用次数: 1

摘要

本文解决了在小型家具公司中出现的生产计划问题,其中瓶颈操作的需求和设置时间是随机变量,可以通过由其相应发生概率加权的离散和有限数量的场景来近似。采用带追索权的两阶段随机规划方法对多情景下的问题进行建模。为了控制第二阶段成本的可变性,我们提出了一个受限追索权模型,该模型生成了一组对场景变化不太敏感的解决方案,因为可变性被限制在给定的容忍范围内。数值经验表明,在某些情况下,获得具有良好服务水平的规避风险的解决方案并不会花费过多的费用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Modelos de programação estocástica no planejamento da produção de empresas moveleiras
This paper addresses a production planning problem that arises in small-scale furniture companies, where the demands and setup times of bottleneck operations are random variables that can be approximated by a discrete and finite number of scenarios that are weighted by their corresponding probabilities of occurrence. The problem is modeled under multiple scenarios via two-stage stochastic programming with recourse. To control the variability of the second-stage costs, we propose a restricted recourse model that generates a set of solutions that are less sensitive to the scenario changes because the variability is limited to a given tolerance. Numerical experiences indicate that, in some situations, risk-averse solutions with good service levels are not excessively expensive to obtain.
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