In this thesis, the potential use of a recently proposed cut (the search based cut) for 0-1 programming problems by Oguz (2002) is analyzed. For this purpose, the search based cuts and a new algorithm based on the search based cuts are applied to multidimensional 0-1 knapsack problems from the literature as well as randomly generated multidimensional 0-1 knapsack problems. The results are compared with the implementation of CPLEX v8.1 in MIP mode and the results reported.