第13组运筹学课程实验报告

运筹学课程实验报告配料问题实验报告姓名田晓欢魏蓓蕾袁晓贝刘凡房淑杰秦艳艳院（系）数学与统计学院专业数学与应用数学年级2010级学号100801101100801106100801111100801090100801019100801038指导教师郭鹏实验成绩实验日期2013年6月8日运筹学课程实验报告11问题描述某饲料公司生产鸡混合饲料,每千克饲料所需营养质量要求已经给出，公司计划使用的原料有玉米、小麦等12种来生产饲料，各原料的营养成分含量及价格已知。公司根据原料来源,还要求1吨混合饲料中原料含量为：玉米不低于400kg、小麦不低于100kg、麦麸不低于100kg、米糠不超过150kg、豆饼不超过100kg、菜子饼不低于30kg、鱼粉不低于50kg、槐叶粉不低于30kg,DL-蛋氨酸、骨粉、碳酸钙适量.要求：（1）按照肉用种鸡公司标准,求1kg混合饲料中每种原料各配多少,成本最低,建立数学模型并求解.（2）按照肉用种鸡国家标准,求1kg混合饲料中每种原料各配多少,成本最低.（3）公司采购了一批花生饼,单价是0.6元/kg,代谢能到有机磷的含量分别为（2.4,38,120,0,0.92,0.15,0.17）,求肉用种鸡成本最低的配料方案.（4）求产蛋鸡的最优饲料配方方案.（5）公司考虑到未来鱼粉、骨粉和碳酸钙将要涨价,米糠将要降价,价格变化率都是原价的,试对两种产品配方方案进行灵敏度分析.说明：以上5个问题独立求解和分析,如在问题（3）中只加花生饼,其他方案则不加花生饼.2建模分析(1)按照肉用种鸡公司标准，求1kg配合饲料中每种原料各配多少成本最低，建立数学模型并求解。Minz=0.68x1+0.72x2+0.23x3+0.22x4+0.37x5+0.32x6+1.54x7+0.38x8+23x9+0.56x10+0.12x11+0.42x123.35x1+3.08x2+1.78x3+2.10x4+2.40x5+1.62x6+2.80x7+1.61x8≥2.778x1+114x2+142x3+117x4+402x5+360x6+450x7+170x8≥13578x1+114x2+142x3+117x4+402x5+360x6+450x7+170x8≤14516x1+22x2+95x3+72x4+49x5+113x6+108x8≤452.3x1+3.4x2+6.0x3+6.5x4+24.1x5+8.1x6+29.1x7+10.6x8≥5.61.2x1+1.7x2+2.3x3+2.7x4+5.1x5+7.1x6+11.8x7+2.2x8+980x9≥2.60.7x1+0.6x2+0.3x3+1.0x4+3.2x5+5.3x6+63x7+4.0x8+300x10+400x11≥300.3x1+0.34x2+10.0x3+13.0x4+5.0x5+8.4x6+27x6+4.0x8+140x9≥51000x12=3.7X1+x2+x3+x4+x5+x6+x7+x8+x9+x10+x11+x12=1X1≥0.4,x2≥0.1,x3≥0.1,x4≤0.15,x5≤0.1,x6≥0.03,x7≥0.05,x8≥0.03,X1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12≥0(2)按照肉用种鸡国家标准，求1kg配合饲料中每种原料各配多少成本最低。Minz=0.68x1+0.72x2+0.23x3+0.22x4+0.37x5+0.32x6+1.54x7+0.38x8+23x9+0.56x10+0.12x11+0.42x123.35x1+3.08x2+1.78x3+2.10x4+2.40x5+1.62x6+2.80x7+1.61x8≥2.7运筹学课程实验报告23.35x1+3.08x2+1.78x3+2.10x4+2.40x5+1.62x6+2.80x7+1.61x8≤2.878x1+114x2+142x3+117x4+402x5+360x6+450x7+170x8≥13578x1+114x2+142x3+117x4+402x5+360x6+450x7+170x8≤14516x1+22x2+95x3+72x4+49x5+113x6+108x8﹤502.3x1+3.4x2+6.0x3+6.5x4+24.1x5+8.1x6+29.1x7+10.6x8≥5.61.2x1+1.7x2+2.3x3+2.7x4+5.1x5+7.1x6+11.8x7+2.2x8+980x9≥2.50.7x1+0.6x2+0.3x3+1.0x4+3.2x5+5.3x6+63x7+4.0x8+300x10+400x11≥230.7x1+0.6x2+0.3x3+1.0x4+3.2x5+5.3x6+63x7+4.0x8+300x10+400x11≤400.3x1+0.34x2+10.0x3+13.0x4+5.0x5+8.4x6+27x6+4.0x8+140x9≥4.60.3x1+0.34x2+10.0x3+13.0x4+5.0x5+8.4x6+27x6+4.0x8+140x9≤6.51000x12=3.7X1+x2+x3+x4+x5+x6+x7+x8+x9+x10+x11+x12=1X1≥0.4,x2≥0.1,x3≥0.1,x4≤0.15,x5≤0.1,x6≥0.03,x7≥0.05,x8≥0.03,X1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12≥0(3)公司采购了一批花生饼，单价是0.6元/kg，代谢能到有机磷的含量分别为（2.4,38,120,0,0.92,0.15,0.17），求肉用种鸡成本最低的配料方案。新增一种原料为x13,约束条件不变。所以两种肉用种鸡的配料方案的问题的数学模型为：①按照肉用种鸡公司标准：Minz=0.68x1+0.72x2+0.23x3+0.22x4+0.37x5+0.32x6+1.54x7+0.38x8+23x9+0.56x10+0.12x11+0.42x12+0.6x133.35x1+3.08x2+1.78x3+2.10x4+2.40x5+1.62x6+2.80x7+1.61x8+2.4x13≥2.778x1+114x2+142x3+117x4+402x5+360x6+450x7+170x8+38x13≥13578x1+114x2+142x3+117x4+402x5+360x6+450x7+170x8+38x13≤14516x1+22x2+95x3+72x4+49x5+113x6+108x8+120x13≤452.3x1+3.4x2+6.0x3+6.5x4+24.1x5+8.1x6+29.1x7+10.6x8≥5.61.2x1+1.7x2+2.3x3+2.7x4+5.1x5+7.1x6+11.8x7+2.2x8+980x9+0.92x13≥2.60.7x1+0.6x2+0.3x3+1.0x4+3.2x5+5.3x6+63x7+4.0x8+300x10+400x11+0.15x13≥300.3x1+0.34x2+10.0x3+13.0x4+5.0x5+8.4x6+27x6+4.0x8+140x90.17x13≥51000x12=3.7X1+x2+x3+x4+x5+x6+x7+x8+x9+x10+x11+x12+x13=1X1≥0.4,x2≥0.1,x3≥0.1,x4≤0.15,x5≤0.1,x6≥0.03,x7≥0.05,x8≥0.03,X1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12≥0②按照肉用种鸡国家标准：Minz=0.68x1+0.72x2+0.23x3+0.22x4+0.37x5+0.32x6+1.54x7+0.38x8+23x9+0.56x10+0.12x11+0.42x12+0.6x133.35x1+3.08x2+1.78x3+2.10x4+2.40x5+1.62x6+2.80x7+1.61x8+2.4x13≥2.73.35x1+3.08x2+1.78x3+2.10x4+2.40x5+1.62x6+2.80x7+1.61x8+2.4x13≤运筹学课程实验报告32.878x1+114x2+142x3+117x4+402x5+360x6+450x7+170x8+38x13≥13578x1+114x2+142x3+117x4+402x5+360x6+450x7+170x8+38x13≤14516x1+22x2+95x3+72x4+49x5+113x6+108x8+120x13﹤502.3x1+3.4x2+6.0x3+6.5x4+24.1x5+8.1x6+29.1x7+10.6x8≥5.61.2x1+1.7x2+2.3x3+2.7x4+5.1x5+7.1x6+11.8x7+2.2x8+980x9+0.92x13≥2.50.7x1+0.6x2+0.3x3+1.0x4+3.2x5+5.3x6+63x7+4.0x8+300x10+400x11+0.15x13≥230.7x1+0.6x2+0.3x3+1.0x4+3.2x5+5.3x6+63x7+4.0x8+300x10+400x11+0.15x13≤400.3x1+0.34x2+10.0x3+13.0x4+5.0x5+8.4x6+27x6+4.0x8+140x9+0.17x13≥4.60.3x1+0.34x2+10.0x3+13.0x4+5.0x5+8.4x6+27x6+4.0x8+140x9+0.17x13≤6.51000x12=3.7X1+x2+x3+x4+x5+x6+x7+x8+x9+x10+x11+x12+x13=1X1≥0.4,x2≥0.1,x3≥0.1,x4≤0.15,x5≤0.1,x6≥0.03,x7≥0.05,x8≥0.03,X1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12≥0(4)求产蛋鸡的最优饲料配方方案。Minz=0.68x1+0.72x2+0.23x3+0.22x4+0.37x5+0.32x6+1.54x7+0.38x8+23x9+0.56x10+0.12x11+0.42x123.35x1+3.08x2+1.78x3+2.10x4+2.40x5+1.62x6+2.80x7+1.61x8≥2.6578x1+114x2+142x3+117x4+402x5+360x6+450x7+170x8≥15116x1+22x2+95x3+72x4+49x5+113x6+108x8≤202.3x1+3.4x2+6.0x3+6.5x4+24.1x5+8.1x6+29.1x7+10.6x8≥6.81.2x1+1.7x2+2.3x3+2.7x4+5.1x5+7.1x6+11.8x7+2.2x8+980x9≥60.7x1+0.6x2+0.3x3+1.0x4+3.2x5+5.3x6+63x7+4.0x8+300x10+400x11≥330.3x1+0.34x2+10.0x3+13.0x4+5.0x5+8.4x6+27x6+4.0x8+140x9≥31000x12=3X1+x2+x3+x4+x5+x6+x7+x8+x9+x10+x11+x12=1X1≥0.4,x2≥0.1,x3≥0.1,x4≤0.15,x5≤0.1,x6≥0.03,x7≥0.05,x8≥0.03,X1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12≥03程序设计（1）按照肉用种鸡公司标准：求1kg配合饲料中每种原料各配多少成本最低，建立数学模型并求解。如图运筹学课程实验报告4图1-1（1）按照肉用种鸡国家标准：图2-1（1）公司采购了一批花生饼，单价是0.6元/kg，代谢能到有机磷的含量分别为（2.4,38,120,0,0.92,0.15,0.17），求肉用种鸡成本最低的配料方案。①肉用种鸡公司标准在调整后方案，用WinQSB来处理数据如图C-5：图3-1点击SolveandAnalyze→Solvetheproblem问题已解决且存在，求解结果如图C-6所示：②肉用种鸡国家标准在调整后方案