Question

我正在开发一个项目，其中我在节点之间有一个距离矩阵，我将其导入cplex。我是这样做的：

tuple arc{
 float x;
 float y;
 float d;
 float Ttime;       //Time to travell the arc
 }

 tuple vehicle{
 key int id;
 int STdepot;   //Starting Depot (1 or 2)
 int MaxCars;       //Maximum number of cars in a vehicle
 float AvSpeed;     //Average Speed of a vehicle
 }

tuple cavities{
key int id;
float x;
float y;
float rate;         //Consumption Rate
float iniStock;     //Initial Stock to be consumed at cavitie x
float deadline;     //Deadline to arrive at cavitie x
int ProdCons;       //Production Consumed at cavitie x

}

tuple CAVtype{
key int id;
int CarsCons;       //Consuming cars of 12 or 20
}

tuple nodes{
key int id;
float x;        //Coordinates in X
float y;        //Coordinates in Y
string type;
}       
 setof(arc)         OD = ...;   //DistanceMatrix
 setof(vehicle)     K=...;      //Vehicles
 setof(cavities)    C=...;      //Cavities
 setof(CAVtype)     T=...;      // Cavities Type
 setof(nodes)       N=...;      //Nodes

  float d[N][N];
  float t[N][N];    

execute preProcess{

  cplex.tilim=300;
  for(var i in N){
    for(var j in N){
        d[i][j] = 9999;
        t[i][j] = 9999;
    }
  }

  for(var arc in OD){
  var origin = N.get(arc.x);      
  var destination = N.get(arc.y);

      d[origin][destination] = arc.d;
      t[origin][destination] = arc.Ttime;
  }  
 }

它会导入所有内容，但是当我添加限制时，不会考虑距离矩阵，变量会显示没有连接的节点之间的连接。此外，最后的限制改变了q的值，为什么会发生这种情况呢？我该如何解决这个问题？

提前致谢。

目标函数和限制如下：

    dexpr float MachineStoppage = sum(k in K,i in N,j in N) d[i][j] * x[i][j][k] + 
 sum(g in C,k in K) penalize *phi[g] + sum(i in N,g in C) u[i][g];              //(1)

minimize MachineStoppage;

//*******************************|Restrictions|***********************************************************
subject to{

forall (i in C, k in K)                                         //(2)
  FlowConservation:
 sum(j in N: i.id!=j.id) x[<i.id>][j][k] == z[<i.id>][k];

forall (i in C, k in K)                                         //(3)
  FlowConservation2:
 sum(j in N: i.id!=j.id) x[j][<i.id>][k] == z[<i.id>][k];


 forall(i in N, k in K: i.type == "d" && k.STdepot!= i.id)                                          //(5)
   DepartingFromAnyDepot:
  sum(j in N: i.id!=j.id) x[i][j][k] == 0;


 forall(i in N)                      
   sum(k in K) z[i][k]==1; 

 forall(i in N,j in N,k in K: i!=j && j.id!=0)                          //(8)
   ArrivalTimeTracking1:
  w[k][i] + t[i][j] <= w[k][j] + M*(1-x[i][j][k]);


 forall(i in N,j in N,k in K: i!=j && j.id!=0)                          //(9)
   ArrivalTimeTracking2:
  w[k][i] + t[i][j] >= w[k][j]- M*(1-x[i][j][k]);

 forall(k in K, g in C, i in N)                                         //(10)
   ReplenishmentDelay:
 //w[k][<g.id>] <= g.deadline + phi[g];
  w[k][<g.id>] <= g.deadline + phi[g];

 forall(i in N, g in C, k in K)                                        //(11)
   QuantitiesToBeDeliveredToTheCavities:                            
  q[k][g] == ((g.rate*w[k][<g.id>]) + u[i][g] + (g.ProdCons-g.iniStock));

 forall(i in N,g in C,k in K)                                          //(12)
   LimitofQuantitiesToBeDelivered:
   q[k][g] >= z[i][k] * g.ProdCons;
  //q[k][g] >= z[<i.id>][k] * g.ProdCons;

 forall(h in T, k in K)                                                //(13)
   NumberOfCarsOfEachTypeinEachVehicle:
  sum(i in N,g in C) q[k][g] <= h.CarsCons*y[k][h];

/*
 forall(k in K, g in C)                                                //(14)
   MaximumOfCarsinaVehicle:
  sum(h in T) y[k][h] <=b;
*/

Answer 1

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