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A solution procedure for Economic Lot Scheduling Problems even in high utilisation facilities

机译：即使在高利用率的工厂中，解决经济批量计划问题的解决方法

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摘要

Economic lot scheduling problem (ELSP) handles the problem of deciding what order quantities to use when different products/items are produced in the same capacity constrained production facility. It has previously been shown, and it is shown in this article, that it is possible to find a feasible solution fulfilling true feasibility conditions. However, if the utilisation of the production facility is high the production often has to start before the inventory reaches zero to avoid future shortages. Such 'early starts' creates an extra inventory holding cost that the traditional approximation for the inventory holding cost does not account for. This article presents an iterative solution procedure that computes the true inventory holding cost and minimises the total costs. Contrary to previous solution procedures, this procedure requires that the production is scheduled in detail. The heuristic solution procedure is illustrated by a numerical example, it is programmed in MATLAB and variants of the problem are presented.
机译：经济批次计划问题（ELSP）处理确定在相同产能受限的生产设施中生产不同产品/物料时要使用什么订单数量的问题。前面已经显示了，并且在本文中显示了，有可能找到一个满足实际可行性条件的可行解决方案。但是，如果生产设施的利用率很高，则通常必须在库存达到零之前开始生产，以避免将来出现短缺。这种“提早开始”产生了额外的库存持有成本，而传统的库存持有成本近似值并不能解决这一问题。本文介绍了一种迭代解决方案过程，该过程可计算真实的库存持有成本并最大程度地降低总成本。与以前的解决方案过程相反，此过程要求详细计划生产。数值示例说明了启发式求解过程，并在MATLAB中进行了编程，并给出了问题的变体。

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