monorepo

PI4/modelos/ej1.lsi

@@ -0,0 +1,23 @@
+head section
+
+Integer getN()
+Integer getM()
+Integer getMetrosRequeridos(Integer i)
+Integer getMetrosDisponibles(Integer j)
+Integer incompatible(Integer i, Integer k)
+Integer n = getN()
+Integer m = getM()
+
+goal section
+
+max  sum(x[i,j], i in 0 .. n, j in 0 .. m)
+
+constraints section
+
+sum(x[i,j], j in 0 .. m) <= 1, i in 0 .. n 
+sum(getMetrosRequeridos(i) x[i,j], i in 0 .. n) <= getMetrosDisponibles(j), j in 0 .. m
+x[i,j] + x[k,j] <= 1, i in 0 .. n, k in 0 .. n, j in 0 .. m | incompatible(i,k) = 1
+
+bin
+
+x[i,j], i in 0 .. n, j in 0 .. m

PI4/modelos/ej2.lsi

@@ -0,0 +1,21 @@
+head section
+Integer getN()
+Integer getM()
+Integer getPrecio(Integer i)
+Integer getValoracion(Integer i)
+Integer getPresupuesto()
+Integer tieneCategoria(Integer i, Integer j)
+
+Integer n = getN()
+Integer m = getM()
+
+goal section
+min sum(getPrecio(i) x[i], i in 0 .. n)
+
+constraints section
+sum(tieneCategoria(i,j) x[i], i in 0 .. n) >= 1, j in 0 .. m
+sum(getValoracion(i) x[i], i in 0 .. n) - sum(3 x[i], i in 0 .. n) > 0
+sum(getPrecio(i) x[i], i in 0 .. n | tieneCategoria(i,j) > 0) <= getPresupuesto(), j in 0 .. m
+
+bin
+x[i], i in 0 .. n

PI4/modelos/ej3.lsi

@@ -0,0 +1,18 @@
+head section
+Integer getN()
+Integer getM()
+Integer getCantidad(Integer i)
+Integer getDemanda(Integer j)
+Integer getCoste(Integer i, Integer j)
+Integer n = getN()
+Integer m = getM()
+
+goal section
+min sum(getCoste(i,j) x[i,j], i in 0 .. n, j in 0 .. m)
+
+constraints section
+sum(x[i,j], i in 0 .. n) >= getDemanda(j), j in 0 .. m
+sum(x[i,j], j in 0 .. m) <= getCantidad(i), i in 0 .. n
+
+int
+x[i,j], i in 0 .. n, j in 0 .. m

PI4/modelos/gurobi/ej1.lp

@@ -0,0 +1,54 @@
+Maximize
+
+x_0_0 + x_0_1 + x_1_0 + x_1_1 + x_2_0 + x_2_1 + x_3_0 + x_3_1 + x_4_0 + x_4_1
+
+
+Subject To
+
+a0: x_0_0 + x_0_1 <= 1
+a1: x_1_0 + x_1_1 <= 1
+a2: x_2_0 + x_2_1 <= 1
+a3: x_3_0 + x_3_1 <= 1
+a4: x_4_0 + x_4_1 <= 1
+b0: 2 x_0_0 + 4 x_1_0 + 3 x_2_0 + 1 x_3_0 + 6 x_4_0 <= 4
+b1: 2 x_0_1 + 4 x_1_1 + 3 x_2_1 + 1 x_3_1 + 6 x_4_1 <= 6
+c0: x_0_0 + x_2_0 <= 1
+c1: x_0_1 + x_2_1 <= 1
+c2: x_0_0 + x_3_0 <= 1
+c3: x_0_1 + x_3_1 <= 1
+c4: x_0_0 + x_4_0 <= 1
+c5: x_0_1 + x_4_1 <= 1
+c6: x_1_0 + x_2_0 <= 1
+c7: x_1_1 + x_2_1 <= 1
+c8: x_1_0 + x_4_0 <= 1
+c9: x_1_1 + x_4_1 <= 1
+c10: x_2_0 + x_0_0 <= 1
+c11: x_2_1 + x_0_1 <= 1
+c12: x_2_0 + x_1_0 <= 1
+c13: x_2_1 + x_1_1 <= 1
+c14: x_2_0 + x_4_0 <= 1
+c15: x_2_1 + x_4_1 <= 1
+c16: x_3_0 + x_0_0 <= 1
+c17: x_3_1 + x_0_1 <= 1
+c18: x_3_0 + x_4_0 <= 1
+c19: x_3_1 + x_4_1 <= 1
+c20: x_4_0 + x_0_0 <= 1
+c21: x_4_1 + x_0_1 <= 1
+c22: x_4_0 + x_1_0 <= 1
+c23: x_4_1 + x_1_1 <= 1
+c24: x_4_0 + x_2_0 <= 1
+c25: x_4_1 + x_2_1 <= 1
+c26: x_4_0 + x_3_0 <= 1
+c27: x_4_1 + x_3_1 <= 1
+
+
+
+
+Binary
+
+x_0_0 x_0_1 x_1_0 x_1_1 x_2_0 x_2_1 x_3_0 x_3_1 x_4_0 x_4_1
+
+ 
+
+
+End

PI4/modelos/gurobi/ej2.lp

@@ -0,0 +1,22 @@
+Minimize
+
+5 x_0 + 4 x_1 + 3 x_2 + 5 x_3 + 5 x_4 + 8 x_5 + 8 x_6 + 7 x_7 + 6 x_8 + 10 x_9
+
+
+Subject To
+
+a0: 1 x_0 + 0 x_1 + 0 x_2 + 0 x_3 + 0 x_4 + 0 x_5 + 0 x_6 + 1 x_7 + 0 x_8 + 0 x_9 >= 1
+a1: 0 x_0 + 0 x_1 + 1 x_2 + 0 x_3 + 0 x_4 + 0 x_5 + 1 x_6 + 0 x_7 + 0 x_8 + 1 x_9 >= 1
+a2: 0 x_0 + 1 x_1 + 0 x_2 + 0 x_3 + 1 x_4 + 0 x_5 + 0 x_6 + 0 x_7 + 1 x_8 + 0 x_9 >= 1
+a3: 0 x_0 + 0 x_1 + 0 x_2 + 1 x_3 + 0 x_4 + 0 x_5 + 0 x_6 + 0 x_7 + 0 x_8 + 0 x_9 >= 1
+a4: 0 x_0 + 0 x_1 + 0 x_2 + 0 x_3 + 0 x_4 + 1 x_5 + 0 x_6 + 0 x_7 + 0 x_8 + 0 x_9 >= 1
+b0: 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 >= 3
+c0: 8 x_5 <= 10
+
+
+
+
+ 
+
+
+End

PI4/modelos/gurobi/ej3.lp

@@ -0,0 +1,32 @@
+Minimize
+
+1 x_0_0 + 7 x_0_1 + 1 x_0_2 + 1 x_0_3 + 10 x_0_4 + 8 x_0_5 + 15 x_0_6 + 9 x_0_7 + 1 x_0_8 + 1 x_0_9 + 25 x_1_0 + 3 x_1_1 + 8 x_1_2 + 1 x_1_3 + 1 x_1_4 + 1 x_1_5 + 1 x_1_6 + 1 x_1_7 + 11 x_1_8 + 1 x_1_9 + 1 x_2_0 + 1 x_2_1 + 1 x_2_2 + 25 x_2_3 + 15 x_2_4 + 1 x_2_5 + 30 x_2_6 + 10 x_2_7 + 7 x_2_8 + 1 x_2_9
+
+
+Subject To
+
+a0: x_0_0 + x_1_0 + x_2_0 >= 3
+a1: x_0_1 + x_1_1 + x_2_1 >= 1
+a2: x_0_2 + x_1_2 + x_2_2 >= 8
+a3: x_0_3 + x_1_3 + x_2_3 >= 5
+a4: x_0_4 + x_1_4 + x_2_4 >= 1
+a5: x_0_5 + x_1_5 + x_2_5 >= 3
+a6: x_0_6 + x_1_6 + x_2_6 >= 1
+a7: x_0_7 + x_1_7 + x_2_7 >= 10
+a8: x_0_8 + x_1_8 + x_2_8 >= 2
+a9: x_0_9 + x_1_9 + x_2_9 >= 6
+b0: x_0_0 + x_0_1 + x_0_2 + x_0_3 + x_0_4 + x_0_5 + x_0_6 + x_0_7 + x_0_8 + x_0_9 <= 12
+b1: x_1_0 + x_1_1 + x_1_2 + x_1_3 + x_1_4 + x_1_5 + x_1_6 + x_1_7 + x_1_8 + x_1_9 <= 15
+b2: x_2_0 + x_2_1 + x_2_2 + x_2_3 + x_2_4 + x_2_5 + x_2_6 + x_2_7 + x_2_8 + x_2_9 <= 13
+
+
+
+
+
+General
+
+ x_0_0 x_0_1 x_0_2 x_0_3 x_0_4 x_0_5 x_0_6 x_0_7 x_0_8 x_0_9 x_1_0 x_1_1 x_1_2 x_1_3 x_1_4 x_1_5 x_1_6 x_1_7 x_1_8 x_1_9 x_2_0 x_2_1 x_2_2 x_2_3 x_2_4 x_2_5 x_2_6 x_2_7 x_2_8 x_2_9
+
+
+
+End