Multiple Objective Linear Programming

This research tried to cover the development of tradition mathematical programming to mathematical programming with multiple objective models (MOMP). This done by transformation of linear programming to multiple objective linear programming (MOLP) with lexicographically priority and solve the decision problem by using two phase multi-criteria. They are revised simplex method (Two Phase R. M. S. M.) in large and complex system. The multi-criteria simplex method (M. S. M.) was used in small problem to reach the optimal solution which known as non-dominated solution. The case study concerned with decision making problem. Three functions have been used as lexicographical priorities such the first and third functions in maximization case; the second was in the minimization case. The model building for the problem was made to find the final solution. It is found that the non dominated case have different profits for the functions. .