An algorithm for multi-level programming problem using goal programming

This paper presents an algorithm for solving a multi-level programming problem using a linear pre-emptive goal programming model. The higher level decision maker (DM) provides the preferred values of the decision variables under his control and the target value of his objective function to the next level DM to formulate a goal programming problem equivalent to the given multi-level programming problem. It is illustrated with the help of an example of a tri-level programming problem.