臺灣博碩士論文加值系統

本研究之目的將發展一存貨模型，該模型之物品具有需求率與銷售價格相關性，且在允許缺貨後補的情況下，缺貨期間之需求會隨著缺貨時間增加而減少；本研究將確定物品的最適銷售價格及缺貨時間，藉以獲得存貨模型之訂購數量，使存貨系統產生最大的淨收利益。
而後，在模型分析中，本研究將對此存貨模型提供數值範例說明如何運用，並且利用範例所提供之數據，輔以敏感度分析，變動存貨模型已知之參數，深入探討相關參數對存貨模型的影響，最後將模型分析結果提供給存貨決策者做為決策上之參考。

The main study of this paper was to develop the inventory model of the product whose demand rate-dependent selling price with partial backorders. At the same time, the assumption of that the rate of demand within the backorder duration is decreasing when the shortage time is increasing. The optimal selling price of product, backorder time and order quantity will be decided with maximizing the net profit.
We also provide two numerical examples, to describe the results and their effects. Simultaneously, we also use the sensitivity analysis to verify the effects of model parameters. Finally, the model analyses results will be provided to decider make decision.

摘要 i
Abstract ii
誌謝 iii
目錄 iv
圖目錄 vi
表目錄 vii
符號說明 viii
第一章 緒論 1
1.1 研究背景 1
1.2 研究目的 2
1.3 研究方法 2
第二章 文獻探討 5
2.1 存貨基本概念 5
2.2 存貨相關文獻 5
2.3 文獻探討結論 8
第三章 模型建構 9
3.1 數學模型概述 9
3.2 模型之假設 11
3.3 數學模型建構 11
3.4 範例說明 16
第四章 模型分析 19
4.1 數據分析 19
4.1.1 銷售價格s的探討 19
4.1.2 允許缺貨後補之成本C1與損失銷售機會的成本C2的探討 22
4.1.3 需求率之參數a與b的探討 24
4.1.4 缺貨期間需求減少比率δ的探討 25
4.1.5 訂購數量Q的探討 26
4.2 敏感度分析 27
4.2.1 購買物品的行政成本Cs的敏感度分析 27
4.2.2 進貨價格Ck變動下的敏感度分析 28
4.2.3 持有成本Ch的敏感度分析 28
4.2.4 允許缺貨後補之成本C1的敏感度分析 29
4.2.5 損失銷售機會的成本C2的敏感度分析 30
4.2.6 存貨週期T的敏感度分析 31
4.2.7 需求率之參數a的敏感度分析 31
4.2.8 需求率之參數b的敏感度分析 32
4.2.9 缺貨期間需求減少比率δ的敏感度分析 33
4.3 模型分析結論 33
4.3.1 模型數據分析結論 33
4.3.2 敏感度分析結論 35
第五章 結論與未來展望 37
5.1 結論 37
5.2 未來展望 38
參考文獻 39
附錄A 模型分析數據 41

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