Papadatos A, Berger A M, Pratt J E, Barbano D M
Northeast Dairy Foods Research Center, Department of Food Science, Cornell University, Ithaca, NY 14853, USA.
J Dairy Sci. 2002 Nov;85(11):2768-85. doi: 10.3168/jds.S0022-0302(02)74364-6.
A nonlinear programming optimization model was developed to maximize net revenue in cheese manufacture and is described in this paper. The model identifies the optimal mix of milk resources together with the types of cheeses and co-products that maximize net revenue. It works in Excel while it takes the data specified by the user from a user-friendly interface created in Access. The user can specify any number of resources, cheese types, and co-products. To demonstrate the capabilities of the model, we determined the impact of variation in milk price and composition in the period 1998 to 2000 on the optimal mix of resources and optimal type of co-product for Cheddar and low-moisture, part-skim Mozzarella. It was also desired to determine the impact of variation in protein content of nonfat dry milk (NDM) on net revenue, and examine the effect of reconstitution of NDM with water versus milk on net revenue. The optimal mix of resources and the net revenue markedly varied as milk resource prices and composition varied. The net revenue for Mozzarella was much higher than for Cheddar when the price of cream was high. Cheese plants that did not optimize the use of resources in response to variations in prices and composition missed a significant profit opportunity. Whey powder was more profitable than 34% whey protein concentrate and lactose in most months. The use of high-protein NDM led to an appreciable increase in net revenue. When the value of the nonfat portion of raw milk was high, reconstitution of NDM with water rather than milk markedly raised net revenue.
本文开发了一种非线性规划优化模型,以实现奶酪生产中的净收益最大化。该模型确定了牛奶资源、奶酪类型和副产品的最佳组合,以实现净收益最大化。它在Excel中运行,从在Access中创建的用户友好界面获取用户指定的数据。用户可以指定任意数量的资源、奶酪类型和副产品。为了展示该模型的能力,我们确定了1998年至2000年期间牛奶价格和成分变化对切达干酪以及低水分、部分脱脂马苏里拉奶酪的资源最佳组合和副产品最佳类型的影响。还希望确定脱脂奶粉(NDM)蛋白质含量变化对净收益的影响,并研究用水而非牛奶重构NDM对净收益的影响。随着牛奶资源价格和成分的变化,资源的最佳组合和净收益显著不同。当奶油价格较高时,马苏里拉奶酪的净收益远高于切达干酪。未能根据价格和成分变化优化资源利用的奶酪厂错失了显著的盈利机会。在大多数月份,乳清粉比34%的乳清蛋白浓缩物和乳糖更有利可图。使用高蛋白NDM导致净收益显著增加。当原料奶非脂肪部分的价值较高时,用水而非牛奶重构NDM会显著提高净收益。