臺灣博碩士論文加值系統

在全球競爭市場的製造觀念中，已經不再將存貨視為必要的資產，而是一種增加公司成本的負債，因此建構有效的存貨系統更顯得額外重要。在傳統的經濟訂購量模式，有許多假設不符合實際存貨的狀況，如：忽略產品的退化特性、貨品送達時即需付款及未考慮貨幣的時間價值等。
現有的退化性存貨模式，多數均假設退化函數為固定常數的情況，而其已不能反映目前多樣化產品市場。故本研究的目的在於考慮貨幣時間價值的觀點下，探討在有限計畫期間內，允許延遲付款、固定需求率且部分欠撥情況下的廣義退化函數之多期存貨模式，及其最適的補充策略。
我們首先研究了當退化函數滿足適當條件時，可確保其最適補充策略的存在與唯一性；但由於模式本身可視為起始缺貨點的參數最佳化問題，故我們也探討了當退化函數滿足適當條件時，其對應的最佳解與最佳補充策略對於起始缺貨點的相關拓樸性質，例如單調性、連續性及可微性等。我們基於前面的分析發展了有效率的求解算法，並以數值範例加以說明。最後，透過敏感度分析對最適訂購補充策略及最適成本之影響。

The inventory problem has become the liability to increase firm’s cost rather than the necessary assets in the manufacturing concepts of global competitive market and supply chain management, so an available inventory system fulfill is important in practice. In this research, we shall study the inventory model for the general deteriorating rate function with the time-value of money, permissible delays in payments, fixed demands and partial backorders in a finite horizon. For the model, we establish a new framework to present the cost function based on interest loss and return of inventory up to trade credits. Existences and uniqueness of the optimal replenishment policies via the implicit function theorem and Rolle’s theorem in analysis are obtained. Based on these results, we develop an efficient algorithm to find the optimal cost and the optimal replenishment policies of the model. Numerical examples are provided to illustrate our procedure.
Furthermore, we provide a sensitivity analysis for the deteriorating inventory model in a finite horizon. Based on test problems, we find that the cost performance of the model is sensitive to the parametric choice under the fixed and the cycle lengths are monotone w.r.t. the deteriorating rate function being increasing.
Keywords. Deteriorating inventory, finite horizon, delay in payments, partial backorder, time-value of money, sensitivity analysis.

中文摘要 v
英文摘要 vi
誌謝 vii
表目錄 viii
圖目錄 ix
第一章 緒 論 2
1.1 研究動機與目的 2
1.2 研究範圍與限制 4
1.3 研究方法 5
1.4 論文架構與研究流程 6
第二章 文獻探討 8
2.1 退化性存貨模式之相關文獻 8
2.2 存貨的允許延遲付款之相關文獻 11
2.3 存貨的貨幣時間價值之相關文獻 13
第三章 數學模式之建構 16
3.1 符號說明與假設條件 16
3.2 多期存貨模式 18
3.2.1 單期的存貨模式 25
3.3 求解算法 27
3.4 擾動分析及敏感度分析 31
第四章 數值模擬與分析 33
第五章 結論與未來研究方向 54
5.1 結論 54
5.2 未來研究方向 55
參考文獻 56

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