Two types of decisions that directly affect the performance of a distribution system is the vehicle routing and inventory assignment. These problems have been studied separately for many years. The inventory routing problem (IRP) is integration of above mentioned distribution problems. In the other words, IRP assumes each customer maintains a local inventory of a product and consumes a certain ...

In the present paper a bi-objective integer linear programming problem (BILP) is discussed. The main effort in this work to effectively implement ?-constraint method produce complete set of non dominated points. convergence algorithm has been established theoretically. Further comparative study some existing also made.