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姓名 曹譽鐘(Yu-Chung Tsao)  查詢紙本館藏   畢業系所 工業管理研究所
論文名稱 現金折扣與信用期下定價,訂購與付款決策模式
(Models for pricing, ordering and payment policies under cash discount and credit period)
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摘要(中) 當賣方提供現金折扣與信用期策略時,買方將隨著此策略訂定其定價,訂購與付款決策。過去的研究多著重在信用期下的補貨或價格決策。此研究延伸納入現金折扣與非瞬間補貨的考量於之前有關信用期研究之模式中,以在利潤最大化下探討幾個信用交易的議題。
文中建構了幾個在不同情形下以經濟訂購批量模型為基準的模式。並假設需求為價格彈性以反應隨著買方售價降低而能增加顧客需求之現象。我們首先處理在現金折扣與信用期下且為瞬間補貨下的問題。次外,基於在補貨期間須以小批量且多次補貨之情況,此現象通常出現在大量訂購且長期合約下,我們建構一個考量信用期與非瞬間補貨下的決策模式。之後延伸上一個模式納入現金折扣考量。根據每一個提出的模式,我們探討有關合適解區間的特性,且依據此特性提出演算法求解,並舉例說明此求解過程。此外也將探討每個模式下不考慮定價等的特殊案例。之後透過數值分析探討系統各參數對決策的影響並說明其管理意涵,也驗證了模式的結論與經濟上的觀念相符合。
摘要(英) When a vendor provides a cash discount and credit period policy, a buyer will decide his price, ordering and payment policies accordingly. Previous researches often focused on the replenishment or pricing problems under credit period. This research deals with several trade credit phenomena when maximizing the annual profit. The study will incorporate cash discount and non-instantaneous replenishment into previous models under credit period with price-elasticity demand.
Several EOQ-based models are formulated for different circumstances. A price-elasticity demand reflects the phenomena that demand will increase when buyer’s price decreases. We firstly deal with the problem under cash discount and credit period with instantaneous replenishment. In addition, in many situations, the goods may be delivered from the vendor to the buyer frequently in small batches during the replenishment period. This situation is most commonly found when mass ordering with a long-term contract. We construct a non-instantaneous replenishment model when considering only credit period. Then, we extend the above model to incorporate the condition of cash discount. For each model, we discuss properties about feasible solution intervals, then we develop an algorithm based on properties found and conduct numerical examples to illustrate each solving procedure. Also, special cases when retail prices predetermined are analyzed for each model when the decisions ignore pricing. Through the numerical analyses, we discuss the influences of the system parameters on the determination of retail price, order size and annual profit to highlight the managerial implications. We demonstrate that the results of model are consistent with the economic senses.
關鍵字(中) ★ 非瞬間補貨
★ 信用期
★ 現金折扣
關鍵字(英) ★ Cash discount
★ Credit period
★ Non-instantaneous replenishment
論文目次 ABSTRACT I
CONTENTS II
LIST OF FIGURES IV
LIST OF TABLES V
1. INTRODUCTION 1
1.1 RESEARCH BACKGROUND AND MOTIVATION 1
1.2 PROBLEM DESCRIPTION 2
1.3 RESEARCH OBJECTIVES 4
1.4 RESEARCH METHODOLOGY AND FRAMEWORK 4
1.4.1 Research methodology 4
1.4.2 Research framework 5
2. LITERATURE REVIEW 6
2.1 DELAY IN PAYMENTS 6
2.1.1 Credit period 6
2.1.2 Perspective of buyer, vendor and channel 7
2.2 CASH DISCOUNT 9
2.3 NON-INSTANTANEOUS REPLENISHMENT 10
3. OPTIMAL PRICING, ORDERING AND PAYMENT POLICIES 12
3.2 MODEL FORMULATION 13
3.3 DETERMINATION OF OPTIMAL PRICING, REPLENISHMENT AND PAYMENT POLICIES 16
3.3.1 Finding the optimal retail price and cycle time 16
3.3.2 Finding the optimal payment time 20
3.4 SPECIAL CASE (PRICE PREDETERMINED) 23
3.5 EMPIRICAL RESULT 24
3.5.1 Numerical example 24
3.5.2 Effects from cash discount, discount period and credit period 25
3.5.3 Effects from price elasticity, scaling factor, charged interest and earned interest 28
4. OPTIMAL PRICING AND ORDERING POLICIES UNDER CREDIT PERIOD 30
4.1 ASSUMPTIONS AND NOTATIONS 30
4.2 MODEL FORMULATION 30
4.3 DETERMINATION OF OPTIMAL PRICING AND ORDERING POLICIES 33
4.3.1 Concavity of the annual net profit function 33
4.3.2 Solution procedure 37
4.4 SPECIAL CASES 40
4.4.1 When retail price is predetermined 40
4.4.2 When replenishment rate is infinite 41
4.5 NUMERICAL EXAMPLES 41
5. OPTIMAL PRICING, ORDERING AND PAYMENT POLICIES UNDER CASH DISCOUNT 44
5.1 ASSUMPTIONS AND NOTATIONS 44
5.2 MODEL FORMULATION 44
5.3 DETERMINATION OF OPTIMAL PRICING, ORDERING AND PAYMENT POLICIES 46
5.3.1 Concavity of optimal net profit function 46
5.3.2 Solution procedure 50
5.4 SPECIAL CASES 55
5.3.2 When retail price is predetermined 55
5.4.2 When replenishment rate is infinite 56
5.5 EMPIRICAL RESULT 56
5.3.2 Numerical examples 57
5.5.2 Effects from cash discount, discount period and credit period 59
5.5.3 Effects from price elasticity, scaling factor, charged interest and earned interest 63
6. CONCLUSION 64
6.1 RESEARCH CONTRIBUTION 64
6.2 RESEARCH LIMITATION 64
6.3 FURTHER RESEARCH DIRECTION 64
REFERENCE 66
APPENDIX A. 69
APPENDIX B. 69
APPENDIX B. 70
APPENDIX C. 71
APPENDIX D. 72
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指導教授 沈國基(Gwo-Ji Sheen) 審核日期 2004-6-23
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