In this paper, a multi-objective, multi-product, multi-period production and transportation planning problem in the context of a multi-site supply chain is proposed. The developed model attempts simultaneously to maximize the profit and to maximize the product quality level. The objective of this paper is to provide the decision maker with a front of Pareto optimal solutions and to help him to select the best Pareto solution. To do so, the epsilon-constraint method is adopted to generate the set of Pareto optimal solutions. Then, the technique for order preference by similarity to ideal solution (TOSIS) is used to choose the best compromise solution. The multi-criteria optimization and compromise solution (VIKOR), a commonly used method in multiple criteria analysis, is applied in order to evaluate the selected solutions using TOPSIS method. This paper offers a numerical example to illustrate the solution approach and to compare the obtained results using TOSIS and VIKOR methods.

The current manufacturing environment has changed from traditional single plant to multisite supply network where multiple plants are serving customer demands. In this paper, a multi-objective, multistage, multi-product and multi-period production and transportation planning problem is considered in the context of a multisite supply network. The developed optimisation model aims simultaneously to minimise the total cost and to maximise products quality level. The main purpose of this paper is to provide the planner with a front of Pareto solutions and to help him to select a fair optimal solution that satisfies equitably the two considered objectives. A modified version of the epsilon-constraint method (AUGMECON) is applied in this paper to generate an efficient set of Pareto solutions. Then, the lexicographic minimax method is used in order to find the fair solution. A numerical example from a real textile and apparel industry is presented to illustrate the planning model and the solution approach.