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Analysis of supply contracts with commitments and flexibility

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  • Yehuda Bassok
  • Ravi Anupindi

Abstract

In this article we address an important class of supply contracts called the Rolling Horizon Flexibility (RHF) contracts. Under such a contract, at the beginning of the horizon a buyer has to commit requirements for components for each period into the future. Usually, a supplier provides limited flexibility to the buyer to adjust the current order and future commitments in a rolling horizon manner. We present a general model for a buyer's procurement decision under RHF contracts. We propose two heuristics and derive a lower bound. Numerically, we demonstrate the effectiveness of the heuristics for both stationary and non‐stationary demands. We show that the heuristics are easy to compute, and hence, amenable to practical implementation. We also propose two measures for the order process that allow us to (a) evaluate the effectiveness of RHF contracts in restricting the variability in the orders, and (b) measure the accuracy of advance information vis‐a‐vis the actual orders. Numerically we demonstrate that the order process variability decreases significantly as flexibility decreases without a dramatic increase in expected costs. Our numerical studies provide several other managerial insights for the buyer; for example, we provide insights into how much flexibility is sufficient, the value of additional flexibility, the effect of flexibility on customer satisfaction (as measured by fill rate), etc. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008

Suggested Citation

  • Yehuda Bassok & Ravi Anupindi, 2008. "Analysis of supply contracts with commitments and flexibility," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(5), pages 459-477, August.
  • Handle: RePEc:wly:navres:v:55:y:2008:i:5:p:459-477
    DOI: 10.1002/nav.20300
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    References listed on IDEAS

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    1. A. A. Tsay & W. S. Lovejoy, 1999. "Quantity Flexibility Contracts and Supply Chain Performance," Manufacturing & Service Operations Management, INFORMS, vol. 1(2), pages 89-111.
    2. Frank Chen & Jennifer K. Ryan & David Simchi‐Levi, 2000. "The impact of exponential smoothing forecasts on the bullwhip effect," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(4), pages 269-286, June.
    3. Dawn Barnes-Schuster & Yehuda Bassok & Ravi Anupindi, 2002. "Coordination and Flexibility in Supply Contracts with Options," Manufacturing & Service Operations Management, INFORMS, vol. 4(3), pages 171-207, May.
    4. A. Federgruen & P. Zipkin, 1986. "An Inventory Model with Limited Production Capacity and Uncertain Demands II. The Discounted-Cost Criterion," Mathematics of Operations Research, INFORMS, vol. 11(2), pages 208-215, May.
    5. Kamran Moinzadeh & Steven Nahmias, 2000. "Adjustment Strategies for a Fixed Delivery Contract," Operations Research, INFORMS, vol. 48(3), pages 408-423, June.
    6. Hau L. Lee & V. Padmanabhan & Seungjin Whang, 1997. "Information Distortion in a Supply Chain: The Bullwhip Effect," Management Science, INFORMS, vol. 43(4), pages 546-558, April.
    7. A. Federgruen & P. Zipkin, 1986. "An Inventory Model with Limited Production Capacity and Uncertain Demands I. The Average-Cost Criterion," Mathematics of Operations Research, INFORMS, vol. 11(2), pages 193-207, May.
    8. Andy A. Tsay, 1999. "The Quantity Flexibility Contract and Supplier-Customer Incentives," Management Science, INFORMS, vol. 45(10), pages 1339-1358, October.
    9. Chen, Frank Y. & Krass, Dmitry, 2001. "Analysis of supply contracts with minimum total order quantity commitments and non-stationary demands," European Journal of Operational Research, Elsevier, vol. 131(2), pages 309-323, June.
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    Cited by:

    1. Illana Bendavid & Boaz Golany, 2011. "Predetermined intervals for start times of activities in the stochastic project scheduling problem," Annals of Operations Research, Springer, vol. 186(1), pages 429-442, June.
    2. Heydari, Jafar & Govindan, Kannan & Ebrahimi Nasab, Hamid Reza & Taleizadeh, Ata Allah, 2020. "Coordination by quantity flexibility contract in a two-echelon supply chain system: Effect of outsourcing decisions," International Journal of Production Economics, Elsevier, vol. 225(C).
    3. Xiting Gong & Youhua (Frank) Chen & Quan Yuan, 2022. "Coordinating Inventory and Pricing Decisions Under Total Minimum Commitment Contracts," Production and Operations Management, Production and Operations Management Society, vol. 31(2), pages 511-528, February.
    4. Ali Fattahi & Sriram Dasu & Reza Ahmadi, 2022. "Mass Customization and the “Parts-Procurement Planning Problem”," Management Science, INFORMS, vol. 68(8), pages 5778-5797, August.
    5. Han, Xiaoya & Yu, Yugang & Hu, Guiping, 2019. "A dynamic newsvendor problem with goodwill-dependent demands and minimum commitment," Omega, Elsevier, vol. 89(C), pages 242-256.
    6. Hochbaum, Dorit S. & Wagner, Michael R., 2015. "Range contracts: Risk sharing and beyond," European Journal of Operational Research, Elsevier, vol. 243(3), pages 956-963.
    7. Pereira, Daniel Filipe & Oliveira, José Fernando & Carravilla, Maria Antónia, 2023. "Design of a sales plan in a hybrid contractual and non-contractual context in a setting of limited capacity: A robust approach," International Journal of Production Economics, Elsevier, vol. 260(C).
    8. Jianjun Xu & Mustafa Cagri Gürbüz & Youyi Feng & Shaoxiang Chen, 2020. "Optimal Spot Trading Integrated with Quantity Flexibility Contracts," Production and Operations Management, Production and Operations Management Society, vol. 29(6), pages 1532-1549, June.
    9. Xiaole Wu & Panos Kouvelis & Hirofumi Matsuo, 2013. "Horizontal Capacity Coordination for Risk Management and Flexibility: Pay Ex Ante or Commit a Fraction of Ex Post Demand?," Manufacturing & Service Operations Management, INFORMS, vol. 15(3), pages 458-472, July.
    10. Sillanpää, Ville & Liesiö, Juuso & Käki, Anssi, 2021. "Procurement decisions over multiple periods under piecewise-linear shortage costs and fixed capacity commitments," Omega, Elsevier, vol. 100(C).

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