如何在 CPLEX 的调度问题中添加新约束？

Question

我是 CPLEX 的初学者，我很难在我的项目中添加更多约束。当我有多个起点和终点且只有一个产品时，该脚本运行良好

我想在每个目的地有更多的产品需求，但我不知道如何写约束。

{string} Forest = {"A","B","C","D","E"};
{string} Destination = {"D1" , "D2"};
{string} Products = {"Pinus","Eucalyptus"};

float Demand [Destination][Products]= [[3,1],[4,5]];
float Distance [Forest][Destination]=[[21,52],[42,12],[25,15],[52,31],[9,42]]; 
float Stock [Forest][Products]= [[0.94,0],[0,8.62],[0,1.21],[2.6,0],[8.77,0]];` 

//Decision Variables
dvar float+ Delivered [Forest][Destination];

//Função Objetivo
minimize
sum (u in Forest, c in Destination) Distance[u][c] * Delivered[u][c];

//Constraints

subject to {
   forall (u in Forest)
      sum (c in Destination)
        Delivered[u][c] <= Stock [u];


   forall (c in Destination)
      sum (u in Forest) 
         Delivered[u][c] >= Demand[c];

}

我有cross-posted this question.

Answer 1

您还需要按产品扩展您的决策变量（就像您对需求和库存所做的那样），以便您可以了解每种产品的交付量。

然后您可以通过添加 "forall (p in Products)".

为每个产品复制每个约束

dvar float+ Delivered [Forest][Destination][Products];

forall (p in Products)
  forall (u in Forest)
    sum (c in Destination)
      Delivered[u][c][p] <= Stock[u][p];

Answer 2

你可以试试

{string} Forest = {"A","B","C","D","E"}; 

{string} Destination = {"D1" , "D2"};
{string} Products = {"Pinus","Eucalyptus"};

float Demand [Destination][Products]= [[3,1],[4,5]]; 

float Distance [Forest][Destination]=[[21,52],[42,12],[25,15],[52,31],[9,42]]; 

float Stock [Forest][Products]= [[0.94,0],[0,8.62],[0,1.21],[2.6,0],[8.77,0]]; 

//Decision Variables 
dvar float+ Delivered [Products][Forest][Destination];

//Função Objetivo 
minimize sum (p in Products,u in Forest, c in Destination) Distance[u][c] * Delivered[p][u][c];

//Constraints

subject to { 
forall (u in Forest,p in Products) sum (c in Destination) Delivered[p][u][c] <= Stock [u][p];

forall (p in Products,c in Destination) sum (u in Forest) Delivered[p][u][c] >= Demand[c][p];

}

如何在 CPLEX 的调度问题中添加新约束？

How to add new constraints in the scheduling problem at CPLEX?

scheduling

cplex