本研究以物料需求規劃(Material Requirements Planning, MRP)為基礎，考量多期、多工廠、多物料、多訂單及數量折扣資訊與平均生產良率下之物料訂購模式與產品生產規劃，並以生產成本最小化為本研究之目標，建構出一整數非線性規劃(Integer Nonlinear Programming, INLP)數學模型以處理有關企業在多廠生產與多物料採購規劃上的問題。此外，本模型乃利用Lingo 9.0 extended version套裝軟體之語法建構並藉由其內建之Global Solver進行全域最佳解之搜尋。再者，本研究透過數值範例的應用以反應生產決策時所面臨的各種情境。綜言之，本研究所提之模式具有高度的重現特性，故在實務操作上，具有應用的價值，並適合在目前多樣化訴求的生產環境下提供出即時的規劃與決策方向。 Based on the Material Requirements Planning (MRP) concept, the main objective of this paper is to construct an Integer Nonlinear Programming (INLP) mathematical model considering the average production yield, multiple production intervals, plants, orders and diverse materials accompanying the information of quantity discounts to deal with the problems of production management and materials purchasing decision. In addition, the proposed model is founded by using the syntax of Lingo 9.0 extended version and the built-in “Global Solver” is selected as the solving method to find out the global optimal solution. A numerical case example is conducted in this paper to simulate the realistic environment where the enterprise met. Actually, the proposed model can fit the real-world applications because it has the highly repeated characteristic and thus it functions as a valuable tool in today's business.
