臺灣博碩士論文加值系統

存貨模式發展至今，越來越受到企業界的重視，其中經濟生產量存貨模式可以幫助管理者有效地在生產時程上作出正確的決策，達到成本最小或獲利最大的目標，但是大部分學者的研究在需求率部分都只針對一個因素來加以延伸探討，因此本研究需求率同時考量多個因素，建立允陶﹞嶸妘f後補且存貨具退化性之經濟生產量存貨模式，在一衰退市場下，考慮在存貨持有期間，需求率為時間、價格以及存貨數量的函數，而在缺貨期間需求率為時間及價格的函數；另外生產率則假設為時間的函數；欠撥率為一顧客不耐心的函數。此 EPQ 模式為一非線性規劃，研究中應用解微分方程技巧求得存貨水準及總存貨數量，最後應用最佳化理論之充分與必要條件分析，決定出生產時間、各階段的期間長度以及產品銷售價格，以求出使得目標函數最大化之最佳解。
然而由於此模式具有高度非線性，不易求得最佳解之解析型式，因此本研究以實際範例來說明，以數值分析方法並配合使用數學軟體 Lingo 8 確實可以幫助求解與分析，最後再進行敏感度分析，由敏感度分析可知單位時間之淨獲利對哪些參數較為敏感以供管理者作決策上的參考與應用。

誌謝 I
摘要 II
目錄 III
表目錄 V
圖目錄 VI
第一章 緒論 1
1.1 研究動機 1
1.2 研究目的 3
1.3 研究方法與步驟 3
第二章 文獻探討 5
2.1 經濟生產量模式 5
2.2 退化性存貨 7
2.3 允陳妘f後補模型 9
第三章 模式構建 20
3.1 模式之基本假設與符號說明 21
3.2 構建數學模式 23
3.2.1 各階段存貨水準及總存貨水準之推導 25
3.2.2 週期存貨相關成本的計算 28
3.2.3 單位時間之總成本 30
3.2.4 單位時間之銷售量 31
3.2.5 單位時間之淨獲利 32
3.2.6 模式求解 34
3.3 數值範例 38
第四章 敏感度分析 41
4.1 籌製成本 值變動下的敏感度分析 41
4.2 儲存成本 值變動下的敏感度分析 44
4.3 缺貨成本 值變動下的敏感度分析 46
4.4 生產成本 值變動下的敏感度分析 48
4.5 銷售損失成本 值變動下的敏感度分析 51
4.6 退化率 值變動下的敏感度分析 53
4.7 生產函數中參數 值變動下的敏感度分析 55
4.8 生產函數中參數 值變動下的敏感度分析 58
4.9 需求函數中參數 值變動下的敏感度分析 60
4.10 需求函數中參數 值變動下的敏感度分析 62
4.11 需求函數中參數 值變動下的敏感度分析 65
4.12 需求函數中參數 值變動下的敏感度分析 67
4.13 欠撥率中參數 值變動下的敏感度分析 69
4.14 時點 值變動 下的敏感度分析 72
第五章 結論與未來研究建議 77
5.1結論 77
5.2未來研究建議 78
參考文獻 80

一、中文部份：
1.陳順財，民國八十一年，存貨管理策略，財團法人省屬行庫中小企業聯
合輔導基金。
2.李政雄，民國九十三年，允陶﹞嶸妘f後補之最佳存貨模型，碩士論文，東吳大學企業管理研究所在職專班。
3.黃天保，民國九十三年，損耗性產品在允陳妘f下之最佳決策模式，碩士論文，中原大學應用數學研究所。
4.鄭聖宏，民國九十三年，生產率、需求率皆與時間有關之退化性產品，碩士論文，國立臺灣科技大學工業管理研究所。

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