臺灣博碩士論文加值系統

退化性物品在近年來的存貨問題中，是被討論最頻繁的問題，傳統的存貨模型都假設存貨的效用，不會隨著持有時間的增加而有所變化；但在日常生活中，存貨物品的退化是很正常的現象，譬如說生鮮食品、藥品等等，其都會因為存放的時間過久，使得物品之品質有所變化；所以在一個存貨系統中，其物品之退化情形，絕對不能忽略不去考慮，在退化性物品相關的問題中，最典型的就是「報童模式」，報童以其每天所批來的報紙做為商品銷售，報紙的價值會隨著時間而有所減少，如果當天沒賣完，剩下的報紙也就沒什麼價值了，所以如何能適時、適地、適質、適量的管理存貨，而使得總成本能降到最小，即成為本篇論文的主要重心。
本研究就是將退化率考慮成隨時間遞增的函數，然後將物品需求率考慮成一已知固定常數，並允許缺貨情形的發生且為完全欠撥，我們首先研究了當退化率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補貨點的參數最佳化問題，故我們也探討了當退化率函數滿足適當條件時，其對應的最佳解與最適補充策略和服務水準對於起始補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，我們也討論了訂貨週期與訂貨數量的單調性，及最佳解與最適補充策略和與退化率的敏感度分析。

目 次
中文摘要………………………………………………………………………………i
英文摘要………………………………………………………………………………ii
致謝……………………………………………………………………………………iii
目錄…………………………………………………………………………………...iv
圖目錄………………………………………………………………………………...vi
表目錄………………………………………………………………………………....vii
第一章 緒論……………………..……………………………………………………1
1.1 研究背景與動機…………………………………………………………….1
1.2 研究目的與範圍…………………………………………………………….2
1.3 研究架構…………………………………………………………………….3
第二章 文獻探討……………………………………………………………………..6
2.1 傳統EOQ模式……………………………………………………………...6
2.2 退化性物品…………………………………………………………….7
2.3 退化性物品相關文獻探討………………………………………………….8
第三章 模式建立……………………………………………………………………...11
3.1 前言…………………………………………………………………...……...11
3.2 模型之假設及符號說明…………………………………………………......11
3.2.1 基本假設……………………………………………………………11
3.2.2 符號說明……………………………………………………………12
3.2.3模式圖說明………………………………...…………………………..13
3.3 模式建立…………………………………………………………………...14
3.4 演算法…..…………………………………………………………………...17
3.5 擾動分析及敏感度分析…………………………………………………...20
第四章 模式分析與數值範例………………………………………………………22
4.1 模式分析…………………………………………………………………...22
4.2 數值範例…………………………………………………………………...24
4.3 敏感度分析………………………………………………………………...28
第五章結論及後續發展方向……………………………………………………….30
5.1 結論……………………………………………………………………...…...30
5.2 後續發展方向…………………………………………………………...…...31
參考文獻……………………………………………………………………………..32

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