contain simple data. For restriction from the DLR, some data's were removed from this git

data/6f4s.lp

+Minimize
+ obj: +1 x_{1}_{0} +15 x_{1}_{15} +30 x_{1}_{30} +45 x_{1}_{45} +60 x_{1}_{60} +75 x_{1}_{75} +90 x_{1}_{90} +105 x_{1}_{105} +120 x_{1}_{120} 
+      +0 x_{2}_{0} +15 x_{2}_{15} +30 x_{2}_{30} +45 x_{2}_{45} +60 x_{2}_{60} +75 x_{2}_{75} +90 x_{2}_{90} +105 x_{2}_{105} +120 x_{2}_{120} 
+      +0 x_{3}_{0} +15 x_{3}_{15} +30 x_{3}_{30} +45 x_{3}_{45} +60 x_{3}_{60} +75 x_{3}_{75} +90 x_{3}_{90} +105 x_{3}_{105} +120 x_{3}_{120} 
+      +0 x_{4}_{0} +15 x_{4}_{15} +30 x_{4}_{30} +45 x_{4}_{45} +60 x_{4}_{60} +75 x_{4}_{75} +90 x_{4}_{90} +105 x_{4}_{105} +120 x_{4}_{120} 
+      +0 x_{5}_{0} +15 x_{5}_{15} +30 x_{5}_{30} +45 x_{5}_{45} +60 x_{5}_{60} +75 x_{5}_{75} +90 x_{5}_{90} +105 x_{5}_{105} +120 x_{5}_{120}
+      +0 x_{6}_{0} +15 x_{6}_{15} +30 x_{6}_{30} +45 x_{6}_{45} +60 x_{6}_{60} +75 x_{6}_{75} +90 x_{6}_{90} +105 x_{6}_{105} +120 x_{6}_{120}
+
+Subject To
+
+ slot1: x_{1}_{0} + x_{2}_{0} <= 1
+ slot2: x_{1}_{15} + x_{2}_{15} <= 1
+ slot3: x_{1}_{30} + x_{2}_{30} <= 1
+ slot4: x_{1}_{45} + x_{2}_{45} <= 1
+ slot5: x_{1}_{60} + x_{2}_{60} <= 1
+ slot6: x_{1}_{75} + x_{2}_{75} <= 1
+ slot7: x_{1}_{90} + x_{2}_{90} <= 1
+ slot8: x_{1}_{105} + x_{2}_{105} <= 1
+ slot9: x_{1}_{120} + x_{2}_{120} <= 1
+ slot10: x_{2}_{0} + x_{3}_{0} + x_{4}_{0} <= 1
+ slot11: x_{2}_{15} + x_{3}_{15} + x_{4}_{15} <= 1
+ slot12: x_{2}_{30} + x_{3}_{30} + x_{4}_{30} <= 1
+ slot13: x_{2}_{45} + x_{3}_{45} + x_{4}_{45} <= 1
+ slot14: x_{2}_{60} + x_{3}_{60} + x_{4}_{60} <= 1
+ slot15: x_{2}_{75} + x_{3}_{75} + x_{4}_{75} <= 1
+ slot16: x_{2}_{90} + x_{3}_{90} + x_{4}_{90} <= 1
+ slot17: x_{2}_{105} + x_{3}_{105} + x_{4}_{105} <= 1
+ slot18: x_{2}_{120} + x_{3}_{120} + x_{4}_{120} <= 1
+ slot19: x_{1}_{0} + x_{3}_{0} + x_{5}_{0} <= 1
+ slot20: x_{1}_{15} + x_{3}_{15} + x_{5}_{15} <= 1
+ slot21: x_{1}_{30} + x_{3}_{30} + x_{5}_{30} <= 1
+ slot22: x_{1}_{45} + x_{3}_{45} + x_{5}_{45} <= 1
+ slot23: x_{1}_{60} + x_{3}_{60} + x_{5}_{60} <= 1
+ slot24: x_{1}_{75} + x_{3}_{75} + x_{5}_{75} <= 1
+ slot25: x_{1}_{90} + x_{3}_{90} + x_{5}_{90} <= 1
+ slot26: x_{1}_{105} + x_{3}_{105}+ x_{5}_{105}<= 1
+ slot27: x_{1}_{120} + x_{3}_{120} + x_{5}_{120} <= 1
+ slot28: x_{5}_{0} +  x_{6}_{0} +  x_{4}_{0} <=  1
+ slot29: x_{5}_{15} + x_{6}_{15} + x_{4}_{15} <= 1
+ slot30: x_{5}_{30} + x_{6}_{30} + x_{4}_{30} <= 1
+ slot32: x_{5}_{45} + x_{6}_{45} + x_{4}_{45} <= 1
+ slot33: x_{5}_{60} + x_{6}_{60} + x_{4}_{60} <= 1
+ slot34: x_{5}_{75} + x_{6}_{75} + x_{4}_{75} <= 1
+ slot35: x_{5}_{90} + x_{6}_{90} + x_{4}_{90} <= 1
+ slot36: x_{5}_{105} + x_{6}_{105} + x_{4}_{105}<= 1
+ slot37: x_{5}_{120} + x_{6}_{120} + x_{4}_{120} <= 1
+
+ F_1: x_{1}_{0} + x_{1}_{15} + x_{1}_{30} + x_{1}_{45} + x_{1}_{60} + x_{1}_{75} + x_{1}_{90} + x_{1}_{105} + x_{1}_{120} = 1
+ F_2: x_{2}_{0} + x_{2}_{15} + x_{2}_{30} + x_{2}_{45} + x_{2}_{60} + x_{2}_{75} + x_{2}_{90} + x_{2}_{105} + x_{2}_{120} = 1
+ F_3: x_{3}_{0} + x_{3}_{15} + x_{3}_{30} + x_{3}_{45} + x_{3}_{60} + x_{3}_{75} + x_{3}_{90} + x_{3}_{105} + x_{3}_{120} = 1
+ F_4: x_{4}_{0} + x_{4}_{15} + x_{4}_{30} + x_{4}_{45} + x_{4}_{60} + x_{4}_{75} + x_{4}_{90} + x_{4}_{105} + x_{4}_{120} = 1
+ F_5: x_{5}_{0} + x_{5}_{15} + x_{5}_{30} + x_{5}_{45} + x_{5}_{60} + x_{5}_{75} + x_{5}_{90} + x_{5}_{105} + x_{5}_{120} = 1
+ F_6: x_{6}_{0} + x_{6}_{15} + x_{6}_{30} + x_{6}_{45} + x_{6}_{60} + x_{6}_{75} + x_{6}_{90} + x_{6}_{105} + x_{6}_{120} = 1
+
+Bounds
+ 0 <= x_{1}_{0} <= 1
+ 0 <= x_{1}_{15} <= 1
+ 0 <= x_{1}_{30} <= 1
+ 0 <= x_{1}_{45} <= 1
+ 0 <= x_{1}_{60} <= 1
+ 0 <= x_{1}_{75} <= 1
+ 0 <= x_{1}_{90} <= 1
+ 0 <= x_{1}_{105} <= 1
+ 0 <= x_{1}_{120} <= 1
+
+ 0 <= x_{2}_{0} <= 1
+ 0 <= x_{2}_{15} <= 1
+ 0 <= x_{2}_{30} <= 1
+ 0 <= x_{2}_{45} <= 1
+ 0 <= x_{2}_{60} <= 1
+ 0 <= x_{2}_{75} <= 1
+ 0 <= x_{2}_{90} <= 1
+ 0 <= x_{2}_{105} <= 1
+ 0 <= x_{2}_{120} <= 1
+
+ 0 <= x_{3}_{0} <= 1
+ 0 <= x_{3}_{15} <= 1
+ 0 <= x_{3}_{30} <= 1
+ 0 <= x_{3}_{45} <= 1
+ 0 <= x_{3}_{60} <= 1
+ 0 <= x_{3}_{75} <= 1
+ 0 <= x_{3}_{90} <= 1
+ 0 <= x_{3}_{105} <= 1
+ 0 <= x_{3}_{120} <= 1
+
+ 0 <= x_{4}_{0} <= 1
+ 0 <= x_{4}_{15} <= 1
+ 0 <= x_{4}_{30} <= 1
+ 0 <= x_{4}_{45} <= 1
+ 0 <= x_{4}_{60} <= 1
+ 0 <= x_{4}_{75} <= 1
+ 0 <= x_{4}_{90} <= 1
+ 0 <= x_{4}_{105} <= 1
+ 0 <= x_{4}_{120} <= 1
+
+ 0 <= x_{5}_{0} <= 1
+ 0 <= x_{5}_{15} <= 1
+ 0 <= x_{5}_{30} <= 1
+ 0 <= x_{5}_{45} <= 1
+ 0 <= x_{5}_{60} <= 1
+ 0 <= x_{5}_{75} <= 1
+ 0 <= x_{5}_{90} <= 1
+ 0 <= x_{5}_{105} <= 1
+ 0 <= x_{5}_{120} <= 1
+
+ 0 <= x_{6}_{0} <= 1
+ 0 <= x_{6}_{15} <= 1
+ 0 <= x_{6}_{30} <= 1
+ 0 <= x_{6}_{45} <= 1
+ 0 <= x_{6}_{60} <= 1
+ 0 <= x_{6}_{75} <= 1
+ 0 <= x_{6}_{90} <= 1
+ 0 <= x_{6}_{105} <= 1
+ 0 <= x_{6}_{120} <= 1
+Binaries
+    x_{1}_{0} x_{1}_{15} x_{1}_{30} x_{1}_{45} x_{1}_{60} x_{1}_{75} x_{1}_{90} x_{1}_{105} x_{1}_{120}
+    x_{2}_{0} x_{2}_{15} x_{2}_{30} x_{2}_{45} x_{2}_{60} x_{2}_{75} x_{2}_{90} x_{2}_{105} x_{2}_{120}
+    x_{3}_{0} x_{3}_{15} x_{3}_{30} x_{3}_{45} x_{3}_{60} x_{3}_{75} x_{3}_{90} x_{3}_{105} x_{3}_{120}
+    x_{4}_{0} x_{4}_{15} x_{4}_{30} x_{4}_{45} x_{4}_{60} x_{4}_{75} x_{4}_{90} x_{4}_{105} x_{4}_{120}
+    x_{5}_{0} x_{5}_{15} x_{5}_{30} x_{5}_{45} x_{5}_{60} x_{5}_{75} x_{5}_{90} x_{5}_{105} x_{5}_{120}
+    x_{6}_{0} x_{6}_{15} x_{6}_{30} x_{6}_{45} x_{6}_{60} x_{6}_{75} x_{6}_{90} x_{6}_{105} x_{6}_{120}
+
+
+End

data/lagr steps.txt

+   //1. get the variables, their name, thier location, and their number, and their value.
+   //2. get the rows of the capacity constraint, A.
+   //3. get the rows of the departure constraint.
+   //4. initialize the lagrangian multiplier, lambda, array.
+   //5. reformulate the objective function
+   //   5.1. subtract the AX by the unit vector 1.
+   //   5.2. Multiply each row by the respective lambda entry and sum it all up
+   
+     /*Things i need for optimizing using the Lagrangian Relaxation. 
+     6. there are different kinds of Subgradient search methods. 
+      6.1. Classic Subgradient search
+      6.2. Volume Algorithm
+      6.3. Static Converging Series, 
+      6.4. Dynamic Converging Series,
+      6.5. Bundle dynamic Convergent series
+   create an iteration of the lambda using the formula, {lambda}^k={lambda}^(k-1)+S^k*g^k/||g^k||
+      where 
+         {lambda}^k, k from 0 to N is the sequence of the lagrangian multiplier of the function
+         {lambda}^0 is the starting multiplier
+   7. create a maximization problem for the problem at 5, with respect to lambda. 
+   8. Optimize. 
+   9. Display the stat and analyze the LB, and the time it requires
+      9.1. Comparing it with the LP relaxation results. 
+      9.2. comparing the values among the different methods.
+   */
+ /*
\ No newline at end of file

data/sim3.lp

+Minimize
+ obj: +2 x_1 +8 x_2 + 4 x_3
+
+Subject To
+
+ c1: x_1 + x_2 <= 1
+ c2: x_3 + x_2 <= 1
+ c3: x_1 + x_3 <= 1 
+ F1: x_1 + x_2 + x_3 = 1
+ 
+Bounds
+ 0 <= x_1 <= 1
+ 0 <= x_2 <= 1
+ 0 <= x_3 <= 1
+ 
+Binaries
+    x_1
+    x_2
+    x_3
+End