kolsoom Ahmadi - Department of Mathematics, Kurdistan University, Sanandaj, Iran.

We present a modification of three existing methods for finding a basic feasible solution for capacitated transportation problem‎. ‎To obtain an optimal solution, ‎the simplex algorithm for bounded variables is applied‎. ‎Special properties of transportation problem help us to operate each step of simplex algorithm directly on the transportation tableau‎. ‎At last, numerical examples are represented to illustrate our method‎.

‎Balanced Transportation Problem‎, ‎Capacitated Transportation Problem‎, ‎Simplex method, Bounded Variables