unbounded ray error

[gehad mostafa]

hey guy,,

after adding the new objective and the first two constraint it gives me unbounded ray error., I don't know  what is the problem and this is my model:

param step default 1;

param start default 1;

param worker;

param task;

param period;

param workday;

param shift;

set I= start..worker by step;

set J= start..task by step;

set K= start..period by step;

set D= start..workday by step;

set S= start..shift by step;

param a{I,J};

param h{J};

param t{J,K,D,S};

param w{J};

param c{I};

param p{I,J};

var x{I,J,K,D,S} binary;

var y{I} binary;

var z{I,D,S} binary;

var v1 integer;

var v2 integer;

var v3 integer;

var v4 integer;

minimize labor:

v2+v3;

subject to constraint0 {d in D}:

sum {i in I} y[i]*c[i]+v1+v2=30;

subject to constraint01 {d in D}:

sum {i in I,j in J} y[i]*p[i,j]+v3+v4=130;

subject to constraint1 {i in I,d in D,s in S}:

sum {j in J,k in K} h[j] * x[i,j,k,d,s] <= 1 ;

subject to constraint2 {i in I,k in K,d in D,s in S} :

sum {j in J} x[i,j,k,d,s] <= 1;

subject to constraint3 {j in J,k in K,d in D,s in S}:

sum {i in I} x[i,j,k,d,s] = w[j]*t[j,k,d,s];

subject to constraint4 {i in I,j in J,k in K,d in D,s in S}:

x[i,j,k,d,s] <= z[i,d,s];

subject to constraint5 {i in I,j in J,k in K,d in D,s in S}:

x[i,j,k,d,s] <= a[i,j];

subject to constraint6 {i in I,j in J,k in K,d in D,s in S}:

x[i,j,k,d,s] <= t[j,k,d,s];

subject to constraint60 {d in D}:

sum {i in I} y[i] = 5;

subject to constraint7 {i in I,d in D}:

sum{s in S} z[i,d,s] <= 1*y[i];

subject to constraint8 {i in I}:

sum{d in D,s in S} z[i,d,s] = 2*y[i];

subject to constraint9 {i in I,s in S,d in D: d >1 && d <3}:

z[i,d+1,s] <= z[i,d,s]+(1-z[i,d-1,s]);

[Alessandro Oscar Gilardino Arias]

Hi

Maybe you should only declare your variables adding >=0

Regards

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