基于生物炭技术的农作物秸秆收购半径与收集站设置的数学模型

The Mathematical Model About Straw Acquisition Radius and Collection Points Based on Biochar Technology

生物炭是酸性土壤修复的重要新型材料,生物炭技术是农作物秸秆开发利用的新兴技术,而农作物秸秆收集半径和收集站设置是影响农作物秸秆生物炭技术应用的关键因素,假设在农作物秸秆均匀分布的圆形区域建设生物炭生产基地,对影响生物炭生产基地效益的农作物秸秆收购半径进行分析,建立了"农作物秸秆收购半径数学模型",获得其最优收购半径为R=(a-c)/b(其中为单a位质量农作物秸秆相关收益,b为单位质量单位距离农作物秸秆运输费用,c为单位质量农作物秸秆变动成本)。同时进一步分析,建立了"农作物秸秆收集站位置设置数学模型",假设从收集站向生产基地运输单位质量单位距离农作物秸秆费用q比其直接运输至生产基地费用b节约50%时(即q/b=0.5),获得其最优位置为0.49R (其中R为收购半径)。收购半径和收集站模型的建立,为我国北方农业主产区农作物秸秆收集利用提供参考。

Biochar is important new materials to remedy acidic soil, biochar technology is an new technology about the utilization of crop straw, whilethe straw collection radius and collection points is a key factor about the straw biochar technology applications. Supposing building biochar plantin the circular area of the straw evenly distribution, we established the mathematical model of the straw acquisition radius,the optimal radius R= a-c b （a, straw revenue per unit area; b, per unit area and uinit distance cost of straw; c, variable cost per unit area）. When q b =0.5, q is for the transportation cost from straw collection site to the biochar plant per unit area and uinit distancet, b is for the transportation cost directly to the biochar plant, the optimal collection site is about 0.49 R（R is the radius of the acquisition）. The mathematical model about straw acquisition radius and collection points provide reference for the collection and utilization ahout the main straw producing areas in northern China.