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Oil refinery production planning is a complex system and crucial. The optimization for production plan needs a mathematical model to represent the production system that can be used by the optimization model. This paper presents a mathematical model of Master Production Scheduling (MPS) for Kalak Refinery System that can be used for future especially in optimizing its production system. In spite of the fact that MPS has been broadly studied but it has been very few in refinery system maybe because of its complexity in limited production capacity and flexible fabrication routings. In the mathematical model, steps in deriving the model are explained started from the block diagram of the production system, definition of all variables, list of constraints and lastly the final mathematical model with the objective and its general constraints. The model has been validated by comparing the actual production volume with the estimated volume calculated by the model. This paper successfully presents and validates a mathematical model for multi-objective decision model.
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