Impacts of DON in the malting barley supply chain: aggregate costs and firm-level risks.

D. Johnson, W. Nganje
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引用次数: 13

Abstract

DON is a toxic byproduct of fusarium head blight (FHB), a fungal disease of small grains. Beginning in 1993, a prolonged outbreak of FHB occurred in the Upper Midwest, the traditional source of most six-rowed malting barley produced in the United States. Price discounts associated with DON in barley have been significant. This paper has two objectives. The first is to estimate the impact of DON on the value of malting barley grown in the Upper Midwest. Using crop quality data, we use a linear programming model to derive optimal blends of barley supplies, given discount schedules and the distribution of quality factors. The premise is that blending activities, on a regional scale, allow a larger fraction of the crop to be sold as malting. The second objective is to assess the risks associated with DON in the context of a firm-level blending model. We frame a nonlinear optimization problem in which an elevator seeks to maximize the expected sales value of the barley in its bins. Price discounts for several quality factors are incorporated in the analysis, along with probability distributions for DON. Treating DON as a random quality factor adds some interesting complexity to the standard grain blending problem. Attachments: aem187a.xls aem187b.xls aem187c.xls aem187d.xls
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DON对麦芽供应链的影响:总成本和企业层面的风险。
DON是一种小颗粒真菌病镰刀菌头疫病(FHB)的有毒副产物。从1993年开始,在美国生产的大多数六棱麦芽的传统来源中西部上游地区发生了长时间的FHB暴发。大麦中与DON相关的价格折扣很大。本文有两个目的。首先是估计DON对上中西部地区种植的麦芽价值的影响。利用作物质量数据,我们使用线性规划模型来推导大麦供应的最佳混合,给定折扣时间表和质量因素的分布。前提是,在区域范围内,混合活动允许更大比例的作物作为麦芽出售。第二个目标是在公司级混合模型的背景下评估与DON相关的风险。我们构造了一个非线性优化问题,其中电梯寻求最大化箱内大麦的预期销售价值。在分析中纳入了几个质量因素的价格折扣,以及DON的概率分布。将DON作为一个随机的质量因子,增加了标准颗粒混合问题的一些有趣的复杂性。附件:aem187a.xls aem187b.xls aem187c.xls aem187d.xls
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