This paper presents a multi-objective production planning model for a factory operating under a multi-product, and multi-period environment using the lexicographic (pre-emptive) procedure. The model objectives are to maximize the profit, minimize the total cost, and maximize the Overall Service Level (OSL) of the customers. The system consists of three potential suppliers that serve the factory to serve three customers/distributors. The performance of the developed model is illustrated using a verification example. Discussion of the results proved the efficacy of the model. Also, the effect of the deviation percentages on the different objectives is discussed.

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Planning of the green supply chain has a great effect on its performance and on the environment. In this paper, a robust green supply chain network planning optimization model has been developed considering potential risks to identify production, inventory and shipping method. Robustness has been considered in the customers' demands of multi-periods. The developed model aims to maximize the supply chain network profit, maximize customer service level, and minimize the transportation Green House Gases emissions to reduce the negative risks (threats) on the environment, enhance sustainability and raise the value for money gaining from the network for all stakeholders. The proposed mathematical model has been formulated using Mixed Integer Linear Programming and solved using three different solvers; Excel solver, evolver solver and @RiskOptimizer. The results have been discussed and analyzed in a manner to study the effect of robustness on the supply chain network behaviour. It can be concluded that the best optimal value has been achieved using Evolver solver plan which is the smoothest and the most practical.

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