需求與存貨水準相依下損耗性產品的最佳補貨政策

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陳炫凱(Husan-Kai Chen) 查詢紙本館藏

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論文名稱

需求與存貨水準相依下損耗性產品的最佳補貨政策
(An optimal replenishment policy for deteriorating items with stock-dependent demand)

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摘要(中)

許多零售商發現提升的存貨量不只是改善服務水準而且還會刺激需求。市場學家也認定很多產品的需求會和零售商所陳列的產品數量成比例。
針對需求率會隨存貨量增加的產品，在有限規劃週期內，分別考慮在不允許缺貨、完全缺貨待補、部分缺貨待補且待補率與等待補貨時間相關的三種情況，提出需求與存貨相依下損耗性產品之存貨系統；且過去文獻較常忽略的購買成本會隨時間和數量變化的影響，本研究將此影響納入考慮，建構出零售商的成本函數。
藉由數學軟體Mathematica 5.2的幫助，找出零售商最佳的補貨次數、最佳短缺的時間點以及每週期的訂購數量，達到零售商成本極小化的目標。

摘要(英)

In some retail contexts, stocking large quantities of inventory may not only improve service levels, but can also stimulate demand. Marketing researchers also recognize the demand of many retail items is proportional to the amount of inventory displayed.
For products having demand rates that increase with inventory levels, we present an inventory model for deteriorating items with stock-dependent demand over a finite planning horizon. In addition, we also incorporate the effect of quantity discount and time factor of purchase cost while inventory decision making. No backorders, complete backlogged and partial backlogging are considered in the model; and further, the backlogging rate is variable and dependent on the waiting time for the next replenishment.
We shall be concerned with finding the optimal number of replenishments and service rate to minimize the total relevant costs. Numerical examples are displayed to illustrate the proposed models and sensitivity analysis of the optimal solution with respect to the parameters of the system is carried out.

關鍵字(中)

★ 完全缺貨待補
★ 部分缺貨待補
★ 數量折扣
★ 需求與存貨相依
★ 損耗性商品

關鍵字(英)

★ Deteriorating items
★ Partial backlogging
★ Quantity discount
★ Stock-dependent demand
★ Complete backlogging

論文目次

論文提要 I
ABSTRACT 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 研究背景 2
1.3 研究目的 5
1.4 研究架構 6
第二章文獻回顧 8
2.1 損耗性存貨模式之相關文獻 8
2.2 數量折扣之相關文獻 9
2.3 需求模式之相關文獻 11
2.4 完全缺貨待補與部分缺貨待補之相關文獻 13
2.5 相關文獻與本研究的比較 14
第三章模型建構 16
3.1 模式Ⅰ：不允許缺貨情況之模式建立 16
3.1.1基本假設與符號說明 16
3.1.2模型建構 17
3.2 模式Ⅱ：允許缺貨情況下完全缺貨待補之模式建立 20
3.2.1 基本假設與符號說明 20
3.2.2 模型建構 21
3.2.3求解最小值的必要與充分條件 24
3.3 模式Ⅲ：允許缺貨情況下部分 25
3.3.1 基本假設與符號說明 26
3.3.2 模型建構 26
3.3.3求解最小值的必要與充分條件 30
第四章數值模擬分析與討論 31
4.1 模式驗證與比較 31
4.1.1 模式Ⅰ：不允許缺貨情況 31
4.1.2 模式Ⅱ：允許缺貨情況下完全缺貨待補 34
4.1.3 模式Ⅲ：允許缺貨情況下與時間相關之部分缺貨待補 38
4.1.4 三種存貨模式的比較 44
4.2 考慮品項損耗率特性的應用性 45
4.3 購買成本與時間和數量相依機制對成本的影響 47
第五章結論與未來研究方向究方向 49
參考文獻 51
附錄 60

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指導教授

陳振明(Jen-Ming Chen)

審核日期

2007-7-10

推文