2. Related concepts
Regarding to ILP, the following three concepts are really important: The first one is the generalized simplex method.
It will be used to search the optimum solution in LP problems.
This method moves solution from one extreme point to another in order to find the optimum one. Secondly, duality concept and its theorems will be introduced.
It could change the characteristics of the problems and interchange the number of variables and
constraints.
Finally, we will describe the B&B algorithm. It has been the significant algorithm to solve ILP
problems until now.
Our proposed method is actually revised from the original B&B procedure.