猪场科学管理与效益分析

Scientific Management of Pig Farm and Benefit Analysis

依据2014年全国大学生数学建模竞赛C题中给出的猪场管理的信息,分析了生猪养殖场的经营管理规划问题,建立了养殖场在正常运营下的盈亏(收入与成本的差)数学模型,给出了达到或超过盈亏平衡点时的条件。建立猪场中各种类型的猪(肉猪、小猪、母猪、公猪)相互依赖的差分方程组模型,查阅资料确定模型中的参数,利用MATLAB软件计算得出饱和(或平衡)状态下各种类型猪的数量。最后结合肉猪的logisit增长函数建立优化模型确定每批肉猪的最佳售卖时间点及每批肉猪的每头利润,算出这三年内的平均年利润,并给出在此策略下的母猪及肉猪存栏数曲线。从而为猪场的优化管理提供参考。

On the basis of the pig management given the 2014 National Undergraduate Mathematical Contest in modeling C title in the information, analyzes the management planning problem in pig farms, established farms in the normal operation of the profit and loss （income and cost difference） mathematical model, given the reach or exceed the profit and loss balance point conditions. The establishment of various types in pig （pork, pig, sows, boars）dependent differential equations model, access to data to determine the parameters in the model, the calculated saturation by using the MATLAB software （or balanced） number of various types of pig state. Finally the growthfunction to establish the optimization model to determine the best selling point in time for each batch of pigs and each batch of pigs per head pig profitcombined with logisit, calculated the average annual profits that within three years, and then gives the strategy of sows and pigs population curve. So as to provide reference for optimizing the management of pig farm.