数学建模社区-数学中国

标题: 急求 :“销售选址” 解法 [打印本页]

作者: jianghai124    时间: 2008-5-28 22:34
标题: 急求 :“销售选址” 解法

未命名.bmp

某公司准备在某市建立两个销售代理点,向该市7个区的顾客销售商品,每个区的顾客数量(单位:千人)已经表示在下图上,每个销售代理点只能向本区和一个相邻区的顾客销售商品,这两个销售代理点应该建在何处,才能使所能服务的顾客数量最大,试建立模型并求解。


作者: qinyan    时间: 2008-7-26 15:22
程序:max=34*x1+42*x12+29*x13+
    42*x2+34*x21+29*x23+21*x24+
    29*x3+34*x31+42*x32+21*x34+56*x35+
    21*x4+42*x42+29*x43+56*x45+18*x46+71*x47+
    56*x5+29*x53+21*x54+18*x56+
    18*x6+21*x64+56*x65+71*x67+
    71*x7+21*x74+18*x76;
x12+x13<=x1;
x21+x23+x24<=x2;
x31+x32+x34+x35<=x3;
x42+x43+x45+x46+x47<=x4;
x53+x54+x56<=x5;
x64+x65+x67<=x6;
x74+x76<=x7;
x1+x21+x31<=1;
x2+x12+x32+x42<=1;
x3+x13+x23+x43+x53<=1;
x4+x24+x34+x54+x64+x74<=1;
x5+x35+x45+x65+x75<=1;
x6+x46+x56+x76<=1;
x7+x47+x67<=1;
x1+x2+x3+x4+x5+x6+x7=2;
@bin(x1);@bin(x2);@bin(x3);@bin(x4);@bin(x5);@bin(x6);@bin(x7);
@bin(x12);@bin(x13);
@bin(x21);@bin(x23);@bin(x24);
@bin(x31);@bin(x32);@bin(x34);@bin(x35);
@bin(x42);@bin(x43);@bin(x45);@bin(x46);@bin(x47);
@bin(x53);@bin(x54);@bin(x56);
@bin(x64);@bin(x65);@bin(x67);
@bin(x74);@bin(x76);

作者: qinyan    时间: 2008-7-26 15:22
结果:                       Variable           Value        Reduced Cost
                             X1        0.000000           -34.00000
                            X12        0.000000           -42.00000
                            X13        0.000000           -29.00000
                             X2        0.000000           -42.00000
                            X21        0.000000           -34.00000
                            X23        0.000000           -29.00000
                            X24        0.000000           -21.00000
                             X3        0.000000           -29.00000
                            X31        0.000000           -34.00000
                            X32        0.000000           -42.00000
                            X34        0.000000           -21.00000
                            X35        0.000000           -56.00000
                             X4        0.000000           -21.00000
                            X42        0.000000           -42.00000
                            X43        0.000000           -29.00000
                            X45        0.000000           -56.00000
                            X46        0.000000           -18.00000
                            X47        0.000000           -71.00000
                             X5        1.000000           -56.00000
                            X53        1.000000           -29.00000
                            X54        0.000000           -21.00000
                            X56        0.000000           -18.00000
                             X6        0.000000           -18.00000
                            X64        0.000000           -21.00000
                            X65        0.000000           -56.00000
                            X67        0.000000           -71.00000
                             X7        1.000000           -71.00000
                            X74        1.000000           -21.00000
                            X76        0.000000           -18.00000
                            X75        0.000000            0.000000

作者: qinyan    时间: 2008-7-26 15:24
结果说明:两个代理点分别选择56与71
作者: 边缘的风    时间: 2009-5-25 12:35
哈哈,年年是这个题目……
作者: yican223    时间: 2009-6-2 09:17
有这个销售选址的建模论文不咯,能贴出来不咯。谢谢哈
作者: 师长    时间: 2011-9-4 22:58





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