Size Limit Exceeded Error in IBM ILOG CPLEX

Question

I'm working on a constrained scheduling problem using IBM ILOG CPLEX. Despite having no syntax errors in my code, I keep encountering a "Size Limit Exceeded" error, which prevents the code from running successfully.

Here's a brief overview of my problem setup:

I'm scheduling a set of tasks with various constraints (e.g., resource limitations, task dependencies). I've defined the variables, objective function, and constraints correctly as per the CPLEX documentation. The problem size is substantial but not unreasonably large for CPLEX to handle, to the best of my knowledge.

I tried to make the arrangements I could within my CPLEX knowledge, but I could not obtain any findings.

Here is the code;

**

int n=...;
 int m=...;  //resources
 range i=0..n-1;
 range j=0..n-1;
 range t=0..n-1;
 range k=0..m-1;
 range z=0..n-1;
 
 int B[k]= ...; //Capacities
 int p[i]= ...; //activity duratio
 int ES[i]=...;
 int LS[i]=...;
 int b[i][k]=...;
 range A=0..n-1; //activities
 range R=0..m-1; //Resources
 range A_plus1 = 0..n-1; // Include n+1 in the range 
 range H= 0..LS[n-1]; //Time horizon
tuple MyTuple { 
    int i; 
    int j; 
} 
{MyTuple} E = ...; // Use your actual data here 
// int V=asSet(1..n);
 dvar boolean x[i][t];
 
 minimize sum(i in 0..n-1) 
           sum(t in ES[i]..LS[i]) t*x[n-1][t];
 subject to 
{
forall(e in E)  
        sum(t in ES[e.j]..LS[e.j])t*x[e.j][t]>= sum(t in ES[e.i]..LS[e.i])t*x[e.i][t]+p[e.i];
 forall(t in H, k in R) 
        sum(i in 0..n-1) 
            b[i][k] * sum(z in maxl(ES[i],t - p[i] + 1) .. minl(LS[i], t))
            x[i][z] <= B[k];
             
forall(i in A_plus1) 
      sum(t in ES[i]..LS[i])x[i][t]==1;
       
 x[0][0]==1;
 //forall(i in A union {n+1})
      //forall(t in {ES[i],LS[i]})               
forall(i in A_plus1)
      forall(t in H : !(t in {ES[i], LS[i]}))
          x[i][t]==0;
           
forall(i in A_plus1) 
      forall(t in H : (t >= ES[i] && t<= LS[i]))  
          x[i][t] == 1; 
}

**

Here is the dat file I'm using,

n = 32;

m = 4;
 
Activity durations

p = [0, 6, 1, 4, 5, 7, 3, 5, 6, 9, 9, 5, 7, 4, 10, 10, 5, 10, 6, 10, 7, 9, 10, 1, 6, 6, 9, 4, 4, 7, 1,0 ];
 
Resource availability

B = [10, 10, 10, 10];
 
Resource requirements

b = [

[0, 0, 0, 0],

    [1, 1, 1,0],

    [6,0, 2, 1],

    [0,1, 4,3],

    [2, 6, 2, 0],

    [5, 3, 0, 5],

    [6, 4, 4, 0],

    [0, 6, 5, 2],

    [2, 6, 0, 5],

    [6, 6, 6, 0],

    [4, 0, 6, 5],

    [4, 5, 4, 0],

    [2, 3, 0, 3],

    [0, 3, 2, 3],

    [5, 3, 4, 0],

    [2, 5, 4, 0],

    [5, 4, 3, 0],

    [4, 0, 4, 3],

    [7, 1, 0, 4],

    [0, 3, 4, 7],

    [7, 4, 4, 0],

    [0, 4, 6, 7],

    [2, 7, 4, 0],

    [0, 7, 5, 1],

    [2, 0, 4, 3],

    [8, 0, 4, 5],

    [0, 2, 3, 5],

    [2, 6, 3, 0],

    [3, 0, 4, 7],

    [1, 0, 7, 3],

    [6, 2, 5, 0],

    [0, 0, 0, 0]
];

Include data for all activities and resources here
 
Precedence constraints

E = {

    <0, 2>,<0, 4>, <0, 5>, <0, 6>, <0, 7>,<0,16>, <0, 17>, <0, 18>, <0, 19>, <0, 20>, <0, 21>, <0, 22>, <0, 23>, <0, 24>, <0, 25>, <0, 26>, <0, 27>, <0, 28>, <0, 29>, <0, 30>, <0, 31>,

    <1, 14>, <1, 2>,

    <2, 8>, <2, 7>,

    <3, 13>, <3, 12>,

    <4, 11>, <4, 7>,

    <5, 10>,

    <6, 9>,

    <7, 31>,

    <8, 31>,

    <9, 31>,

    <10, 31>,

    <11, 31>,

    <12, 31>,

    <13, 31>,

    <14, 31>,

    <15, 31>,

    <16, 31>,

    <17, 31>,

    <18, 31>,

    <19, 31>,

    <20, 31>,

    <21, 31>,

    <22, 31>,

    <23, 31>,

    <24, 31>,

    <25, 31>,

    <26, 31>,

    <27, 31>,

    <28, 31>,

    <29, 31>,

    <30, 31>,
    


};

  Earliest start times
ES = [0, 0, 0, 6, 0, 0, 0, 0, 5, 1, 3, 7, 5, 10, 10, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0];
 
Latest start times
LS = [0, 0, 10, 6, 8, 8, 8, 15, 14, 11, 11, 15, 13, 16, 10, 10, 15, 10, 0, 10, 13, 11, 10, 10, 19, 14, 14, 11, 16, 16, 19, 20];

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