本研究主要探討各時點產能未受限制下之三個不同交貨日期的動態最佳化訂單式生產計畫模式，對於任何給定之訂單要求交貨數量與交貨日期之下，本研究試圖尋求可使得總成本為最小目標下之最佳生產計畫，其中所考慮的總成本函數包含生產作業成本以及存貨成本等二項目標成本函數。首先針對三階段訂單式生產問題的特性將研究問題建構為一個可具體討論的數學模式，其後利用動態最佳化方法之變分法，藉以尋求連續時間生產計畫之最佳解。最後，根據相關研究結果，歸納出一個三階段訂單式生產之最佳生產計畫的決策準則，以提供生產決策者在實務應用上之參考應用依據。 This study for the given quantities and delivery dates, and considers the problem of production planning of make-to-order of three different delivery dates with unlimited production capacity at any point in time. The corresponding mathematical model is constructed, and the analytic method, the dynamic optimization technique of calculus of variations, is employed for solving the continuous time planning problem. We intend to achieve optimal production plan for which the total cost attains its minimum. Here the total cost under consideration is composed of production operating cost and inventory cost. According to the results obtained, the production decision procedure is also proposed as a working rule for practical applications.
