A new optimization method is presented for determining the optimized pressurized water reactor (PWR) fuel-loading pattern in the maximization principle of the end-of-cycle (EOC) core reactivity. The new method utilizes the point reactivity model in deriving the objective function corresponding to the EOC core reactivity as a linear function of the fuel-loading binary variables. It also uses a mixed integer programming algorithm consisting of the branch and bound method and dual linear programming algorithm in order to maximize the EOC core reactivity. The utility of the new optimization method is discussed in terms of numerical examples for the fuel-loading-pattern optimization of the cycle 4 core of the Yonggwang unit 2 PWR plant.