A multi-criteria product mix problem considering multi-period and several uncertainty conditions

This paper considers a multi-period and multi-criteria product mix problem minimizing the total cost, maximizing the total profit and minimizing the inventory levels under various random and ambiguous conditions. The proposal model is an extended model including some standard product mix problems and the model integrating manufacturing and distribution planning decisions in supply chains, and it represents more complex situations in real world. Since this problem is not well-defined problem due to including random and fuzzy variables, it is hard to solve it directly. Therefore, introducing chance constraints, main problem is transformed into a nonlinear programming problem. Furthermore, for solving it more efficiently, the solution method using the mean absolute deviation is constructed and so it is easier to obtain an optimal solution than previous analytical solution procedures.