Environmental issues and legislation pressures have led manufacturers to exert more effort in product recovery. Hence, traditional production planning systems should take account for product recovery and greenhouse gas emission. Based on periodic demands, we first propose a single item production plan for batch manufacture and remanufacture by developing a crisp mixed integer programming model. The objective is to minimize the total cost of production cost, holding cost, emergency procurement cost, backlogging cost and the penalty for excessive carbon emission in a production plan. Since in reality, recycling rate is not easy to estimate. Therefore, such uncertain situation is further considered by applying the concept of Fuzzy Set Theory to develop a fuzzy mixed integer programming model (FMIP) such that with respect to different levels of satisfaction with the constraints, the optimal solutions can be obtained for more flexible applications.
本研究主要探討在已知規劃期數和各期需求的批量生產中,若再製品與新品無異且允許缺貨下,探討單一產品利用有限產能進行製造和再製造之生產規劃問題。目的在藉由所建構之混合整數規劃模型幫助決策者進行生產規劃,期使整體的生產成本、存貨成本(新品、回收品)、新品缺貨成本以及超過碳排放量的懲罰成本最小化。此外考量到在實際環境中回收率的不確定性以及決策者語意描述的情況,此研究應用模糊數學的概念延伸原混合整數規劃模型至模糊混合整數規劃模型,以提供決策者在不同限制式滿意程度下的最佳生產方式。