你帮我写一点
时间: 2023-08-28 16:18:15 浏览: 62
当然可以,以下是一个简单的LINGO代码示例,用于求解多车场多车型的VRP问题:
```
SETS:
CARS /Car1, Car2, Car3/; # 车辆集合
CUSTOMERS /Cus1*Cus10/; # 客户集合
LOCATIONS /Depot, Loc1, Loc2, Loc3/; # 地点集合
DATA:
CAPACITY(CARS) = 100; # 车辆最大容量
DEMAND(CUSTOMERS) = 50, 80, 70, 30, 10, 20, 60, 90, 40, 50; # 客户需求量
DISTANCE(LOCATIONS,LOCATIONS) = # 地点之间的距离
0 10 20 30
10 0 15 25
20 15 0 35
30 25 35 0 ;
VARIABLES:
X(CARS, LOCATIONS, CUSTOMERS) binary; # 车辆的行驶路径
Y(CUSTOMERS) binary; # 客户是否被服务
Z objective; # 目标函数值
EQUATIONS:
CAPACITY_CONSTRAINT(CARS) ; # 车辆容量约束条件
DEMAND_CONSTRAINT(CUSTOMERS); # 客户需求约束条件
ASSIGNED_CONSTRAINT(CUSTOMERS); # 客户服务约束条件
OBJECTIVE; # 目标函数
CAPACITY_CONSTRAINT(CARS) :
FORALL (j IN CARS) :
SUM(i IN LOCATIONS, k IN CUSTOMERS) X(j,i,k) * DEMAND(k) <= CAPACITY(j);
DEMAND_CONSTRAINT(CUSTOMERS) :
FORALL (k IN CUSTOMERS) :
SUM(i IN LOCATIONS, j IN CARS) X(j,i,k) = Y(k);
ASSIGNED_CONSTRAINT(CUSTOMERS) :
FORALL (k IN CUSTOMERS) :
SUM(i IN LOCATIONS, j IN CARS) X(j,i,k) = 1;
OBJECTIVE :
Z = SUM(j IN CARS, i IN LOCATIONS, k IN CUSTOMERS) X(j,i,k) * DISTANCE(i,LOCATIONS)
+ SUM(j IN CARS, i IN LOCATIONS, k IN CUSTOMERS) SUM(i1 IN LOCATIONS) X(j,i,k) * DISTANCE(i,i1);
MODEL:
VRP_MODEL
OBJ = Z
;
SOLVE VRP_MODEL using mip maximizing Z;
```
这段代码定义了三个集合、三个参数、三个变量、四个约束条件和一个目标函数,并且利用LINGO的求解器对其进行求解。具体来说,这段代码通过二进制变量X来表示车辆的行驶路径,用二进制变量Y来表示客户是否被服务,然后根据车辆容量、客户需求、客户服务等约束条件,构建了一个多车场多车型的VRP模型,并通过LINGO的求解器对其进行求解,从而得到最优解。
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