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研究生: 林奕芳
Yi-Fang Lin
論文名稱: 收益提成合作契約下之設備服務訂價
Pricing for Services by Facility Partners under Revenue-sharing Contracts
指導教授: 葉瑞徽
Ruey Huei Yeh
口試委員: 曾勝滄
Sheng-Tsaing Tseng
巫木誠
Muh-Cherng Wu
潘昭賢
Jason Chao-Hsien Pan
羅惠瓊
Hui-Chiung Lo
王福琨
Fu-Kwun Wang
陳正綱
Cheng-Kang Chen
學位類別: 博士
Doctor
系所名稱: 管理學院 - 工業管理系
Department of Industrial Management
論文出版年: 2010
畢業學年度: 99
語文別: 英文
論文頁數: 106
中文關鍵詞: 服務設備收益提成契約設備維修卜瓦松過程遞增價格彈性遞增失效率
外文關鍵詞: Service facilities, Revenue-sharing contracts, Facility maintenance, Poisson process, Increasing price elasticity, Increasing failure rate
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  • 本論文的研究背景是經由設備提供顧客服務的產業。有別於其它研究,本論文特別著重於將設備維修成本引進服務廠商的利潤模型中,而設備維修成本主要來自於設備的故障與退化。

    在廠商利潤模型中,假設顧客需求具有價格彈性,設備壽命具有嚴格遞增失效率,且顧客佇列服從卜瓦松過程。在此架構之下,本論文首先探討單一設備服務的價格策略。其次,再以上述結果為基礎,繼續探討經由兩種設備提供顧客服務的情況,且這兩種設備分別由一個領導廠商和一個跟進廠商所投資,而這兩家廠商之間夥伴關係的形成是基於設備的資本投資和服務的收益提成契約。

    本論文利用史塔伯格賽局 (Stackelberg game) 刻劃上述兩家廠商夥伴關係中的服務價格與收益提成策略,並求解其納許均衡 (Nash equilibrium)。史塔伯格賽局進行如下:首先,領導廠商決定收益提成如何分配;其次,跟進廠商則決定服務價格。且兩位決策者皆是根據自身的利益觀點來選擇賽局策略。

    透過分析上述兩家擁有設備的廠商的收益提成分配與服務價格互動策略,本論文求得其唯一最佳納許均衡解存在的解析條件。最後,以納許談判機制協調賽局中兩個決策者的互動策略,以改善整體服務系統獲利的效率。


    There are customer services jointly provided by two facilities in the service industries. The two facilities are assumed to be invested respectively by an infrastructure owner and one subordinate facility owner. The partnership of the two facility owners is built on capital investments and revenue-sharing contracts.

    This dissertation presents a Stackelberg game formulation to derive the optimal Nash equilibrium for service price and revenue allocation strategies of the two facility owners. In this study, maintenance costs of the two facilities are considered. The maintenance costs of each facility are incurred both by failures and deterioration due to usage. To develop the mathematical model, additional assumptions are also employed. The service demand has strictly increasing price elasticity. The lifetimes of the two facilities are independent and both have strictly increasing failure rates. Additionally, customer arrivals are governed by a Poisson process. The Stackelberg game proceeds as follows. At first, the infrastructure owner decides the allocation of revenue shares based on her self-interest. After observing the allocation of revenue shares, the subordinate facility owner determines her individual optimal service price.

    This research first investigates actions and reactions of the two facility owners. Then analytical conditions are proposed to achieve a unique optimal Nash equilibrium. Finally, a Nash bargaining scheme is proposed to coordinate the two decentralized partners and therefore improve system performance.

    中文摘要 i Abstract ii Acknowledgements iii Contents iv List of Figures vii List of Tables viii Chapter 1. Introduction 1 1.1 Background and objectives 1 1.2 Scope and limitations 3 1.3 Dissertation structure 5 Chapter 2. Literature Review 7 2.1 Service pricing 7 2.2 Maintenance planning 8 2.3 Supply chain contracting 9 2.4 Knowledge gaps 11 Chapter 3. Pricing Policies for Services with Consideration of Facility Maintenance Costs 12 3.1 Introduction 12 3.2 Model formulation 13 3.2.1 Notations and assumptions 14 3.2.1.1 The service demand 16 3.2.1.2 The facility lifetime 17 3.2.2 The profit model 18 3.3 Model analysis 19 3.3.1 Analytical properties of the expected number of facility failures 19 3.3.2 Optimal pricing policy for the service firm 23 3.3.3 Comparative statics analysis 27 Chapter 4. Pricing Policies for Services: Log-linear Service Demand and Weibull Facility Lifetime 31 4.1 Introduction 31 4.2 Model formulation 31 4.2.1 Notations and assumptions 32 4.2.1.1 The service demand 33 4.2.1.2 The facility lifetime 33 4.2.2 The profit model 34 4.3 Model analysis 35 4.3.1 Analytical properties of the expected number of facility failures 35 4.3.2 Optimal pricing policy for the service firm 37 4.3.3 Comparative statics analysis 40 4.4 Numerical examples 43 Chapter 5. Pricing for Services by Facilities under Revenue-sharing Contracts 48 5.1 Introduction 48 5.2 Model formulation 49 5.2.1 Notations and assumptions 50 5.2.2 The service demand and facility lifetime 51 5.2.3 Revenue-sharing contract and Stackelberg game formulation 52 5.2.4 Profit models of the facility owners 52 5.3 The centralized system 53 5.4 The decentralized system 55 5.4.1 Reaction of the subordinate facility owner: Service price 55 5.4.2 Action of the infrastructure owner: Allocation of revenue shares 57 5.5 Coordination of the decentralized system 61 Chapter 6. Pricing for Services by Facility Partners: Log-linear Service Demand and Weibull Facility Lifetimes 63 6.1 Introduction 63 6.2 Model formulation 64 6.2.1 Notations and assumptions 64 6.2.2 The service demand and facility lifetimes 65 6.2.3 Profit models of the facility owners 65 6.3 The centralized system 66 6.4 The decentralized system 67 6.4.1 Reaction of the subordinate facility owner: Service price 67 6.4.2 Action of the infrastructure owner: Allocation of revenue shares 69 6.5 Numerical examples 72 6.5.1 Nash equilibrium in the decentralized service channel 74 6.5.2 Coordination benefit 75 Chapter 7. Conclusion 76 7.1 Summary of dissertation findings 76 7.2 Directions for future research 77 Appendices 79 Appendix A. Supplementary lemmas of Chapter 3 79 Appendix B. Properties of the expected numbers of facility failures 80 Appendix C. Derivation of the individual optimal pricing policy 82 Appendix D. Derivation of the system-wide optimal pricing policy 83 Appendix E. Properties of the expected numbers of facility failures: Log-linear Service Demand and Weibull Facility Lifetimes 84 Appendix F. Derivation of the individual optimal pricing policy: Log-linear Service Demand and Weibull Facility Lifetimes 86 Appendix G. Derivation of the system-wide optimal pricing policy: Log-linear Service Demand and Weibull Facility Lifetimes 88 Appendix H. Mathematica codes for Tables 4.1 and 4.2 90 References 91 Curriculum Vitae 96

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