IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v245y2015i3p731-742.html
   My bibliography  Save this article

Optimal payment scheme when the supplier’s quality level and cost are unknown

Author

Listed:
  • Chen, Jiguang
  • Hu, Qiying

Abstract

When procuring a product from a supplier, a buyer faces the problem of designing a payment scheme to screen the supplier’s quality level and cost. We explore an instalment payment (contract) consisting of an initial payment to the supplier as soon as the product is put in use, followed by a deferred payment that is contingent upon the product in normal operation within a certain period. We find that when the high quality supplier has a higher cost than the low quality supplier, and the suppliers’ financing costs are lower than a certain threshold, the optimal instalment payment has two options: an initial-payment-only option preferred by the low quality supplier and a deferred-payment-only option preferred by the high quality supplier; otherwise, the optimal contract degenerates into an initial-payment-only option. Thus, our research complements past work on moral hazard where no initial payment is proposed. Moreover, we show that the buyer has an incentive to assist with the supplier’s financing. Finally, we compare the instalment payment with the rental contract and show that when the supplier’s financing cost is low or the quality difference among different supplier types is small, the rental contract is more likely to be preferred by the buyer than the instalment payment.

Suggested Citation

  • Chen, Jiguang & Hu, Qiying, 2015. "Optimal payment scheme when the supplier’s quality level and cost are unknown," European Journal of Operational Research, Elsevier, vol. 245(3), pages 731-742.
  • Handle: RePEc:eee:ejores:v:245:y:2015:i:3:p:731-742
    DOI: 10.1016/j.ejor.2015.03.033
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221715002404
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2015.03.033?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Shafiee, Mahmood & Chukova, Stefanka, 2013. "Maintenance models in warranty: A literature review," European Journal of Operational Research, Elsevier, vol. 229(3), pages 561-572.
    2. Keith J. Crocker & Arthur Snow, 2011. "Multidimensional Screening in Insurance Markets with Adverse Selection," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 78(2), pages 287-307, June.
    3. Murthy, D. N. P. & Solem, O. & Roren, T., 2004. "Product warranty logistics: Issues and challenges," European Journal of Operational Research, Elsevier, vol. 156(1), pages 110-126, July.
    4. Crama, Pascale & De Reyck, Bert & Degraeve, Zeger, 2013. "Step by step. The benefits of stage-based R&D licensing contracts," European Journal of Operational Research, Elsevier, vol. 224(3), pages 572-582.
    5. Michael A. Lapré & Amit Shankar Mukherjee & Luk N. Van Wassenhove, 2000. "Behind the Learning Curve: Linking Learning Activities to Waste Reduction," Management Science, INFORMS, vol. 46(5), pages 597-611, May.
    6. Reyniers, Diane J. & Tapiero, Charles S., 1995. "Contract design and the control of quality in a conflictual environment," European Journal of Operational Research, Elsevier, vol. 82(2), pages 373-382, April.
    7. Lee, Chang Hwan & Rhee, Byong-Duk & Cheng, T.C.E., 2013. "Quality uncertainty and quality-compensation contract for supply chain coordination," European Journal of Operational Research, Elsevier, vol. 228(3), pages 582-591.
    8. Figalli, Alessio & Kim, Young-Heon & McCann, Robert J., 2011. "When is multidimensional screening a convex program?," Journal of Economic Theory, Elsevier, vol. 146(2), pages 454-478, March.
    9. K Sahyouni & R C Savaskan & M S Daskin, 2010. "The effect of lifetime buys on warranty repair operations," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(5), pages 790-803, May.
    10. Lim, Wei Shi, 2000. "A lemons market? An incentive scheme to induce truth-telling in third party logistics providers," European Journal of Operational Research, Elsevier, vol. 125(3), pages 519-525, September.
    11. Esmaeili, M. & Shamsi Gamchi, N. & Asgharizadeh, E., 2014. "Three-level warranty service contract among manufacturer, agent and customer: A game-theoretical approach," European Journal of Operational Research, Elsevier, vol. 239(1), pages 177-186.
    12. Volodymyr Babich & Christopher S. Tang, 2012. "Managing Opportunistic Supplier Product Adulteration: Deferred Payments, Inspection, and Combined Mechanisms," Manufacturing & Service Operations Management, INFORMS, vol. 14(2), pages 301-314, April.
    13. Chien, Yu-Hung & Chen, Jih-An, 2008. "Optimal spare ordering policy under a rebate warranty," European Journal of Operational Research, Elsevier, vol. 186(2), pages 708-719, April.
    14. Wei Shi Lim, 2001. "Producer-Supplier Contracts with Incomplete Information," Management Science, INFORMS, vol. 47(5), pages 709-715, May.
    15. Charles H. Fine, 1986. "Quality Improvement and Learning in Productive Systems," Management Science, INFORMS, vol. 32(10), pages 1301-1315, October.
    16. van der Heijden, Matthieu & Iskandar, Bermawi P., 2013. "Last time buy decisions for products sold under warranty," European Journal of Operational Research, Elsevier, vol. 224(2), pages 302-312.
    17. Christopher D. Ittner & Venky Nagar & Madhav V. Rajan, 2001. "An Empirical Examination of Dynamic Quality-Based Learning Models," Management Science, INFORMS, vol. 47(4), pages 563-578, April.
    18. Zhou, Yong-Wu & Zhong, Yuanguang & Li, Jicai, 2012. "An uncooperative order model for items with trade credit, inventory-dependent demand and limited displayed-shelf space," European Journal of Operational Research, Elsevier, vol. 223(1), pages 76-85.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yunjuan Liang & Xin Liang & Hua Wei, 2023. "Sustainable Quality-Incentive Contract Design of Public Technology Innovation Procurement under Asymmetry Information," Sustainability, MDPI, vol. 15(11), pages 1-22, May.
    2. Moussawi-Haidar, Lama & Çömez-Dolgan, Nagihan, 2017. "Percentage rent contracts between co-stores," European Journal of Operational Research, Elsevier, vol. 258(3), pages 912-925.
    3. Wang, Kai & Zhao, Ruiqing & Peng, Jin, 2018. "Trade credit contracting under asymmetric credit default risk: Screening, checking or insurance," European Journal of Operational Research, Elsevier, vol. 266(2), pages 554-568.
    4. Yoo, Seung Ho & Choi, Thomas Y. & Kim, DaeSoo, 2021. "Integrating sourcing and financing strategies in multi-tier supply chain management," International Journal of Production Economics, Elsevier, vol. 234(C).
    5. Huang, Weixiang & Zhou, Wenhui & Chen, Jiguang & Chen, Xiaohong, 2019. "The government’s optimal subsidy scheme under Manufacturers’ competition of price and product energy efficiency," Omega, Elsevier, vol. 84(C), pages 70-101.
    6. Zhou, Pin & Xu, He & Chen, Jiguang, 2020. "Value of down-conversion policy in a vertical differentiated co-production system," International Journal of Production Economics, Elsevier, vol. 228(C).
    7. Yu, Xinning & Lan, Yanfei & Zhao, Ruiqing, 2021. "Strategic green technology innovation in a two-stage alliance: Vertical collaboration or co-development?," Omega, Elsevier, vol. 98(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Adrian S. Choo & Kevin W. Linderman & Roger G. Schroeder, 2007. "Method and Psychological Effects on Learning Behaviors and Knowledge Creation in Quality Improvement Projects," Management Science, INFORMS, vol. 53(3), pages 437-450, March.
    2. DeYong, Gregory D. & Pun, Hubert, 2015. "Is dishonesty the best policy? Supplier behaviour in a multi-tier supply chain," International Journal of Production Economics, Elsevier, vol. 170(PA), pages 1-13.
    3. Anupam Agrawal & Suresh Muthulingam, 2015. "Does Organizational Forgetting Affect Vendor Quality Performance? An Empirical Investigation," Manufacturing & Service Operations Management, INFORMS, vol. 17(3), pages 350-367, July.
    4. Dombi, József & Jónás, Tamás & Tóth, Zsuzsanna Eszter, 2018. "Modeling and long-term forecasting demand in spare parts logistics businesses," International Journal of Production Economics, Elsevier, vol. 201(C), pages 1-17.
    5. Jens Gudmundsson & Jens Leth Hougaard & Chiu Yu Ko, 2022. "Sharing sequentially triggered losses: Automatic conflict resolution through smart contracts," IFRO Working Paper 2020/05, University of Copenhagen, Department of Food and Resource Economics.
    6. Jaber, Mohamad Y. & Guiffrida, Alfred L., 2008. "Learning curves for imperfect production processes with reworks and process restoration interruptions," European Journal of Operational Research, Elsevier, vol. 189(1), pages 93-104, August.
    7. Shuai Zhang & Kai Huang & Yufei Yuan, 2021. "Spare Parts Inventory Management: A Literature Review," Sustainability, MDPI, vol. 13(5), pages 1-23, February.
    8. Shafiee, Mahmood & Chukova, Stefanka, 2013. "Maintenance models in warranty: A literature review," European Journal of Operational Research, Elsevier, vol. 229(3), pages 561-572.
    9. Adkins, Roger & Paxson, Dean, 2017. "Replacement decisions with multiple stochastic values and depreciation," European Journal of Operational Research, Elsevier, vol. 257(1), pages 174-184.
    10. Vishal Agrawal & Deishin Lee, 2019. "The Effect of Sourcing Policies on Suppliers’ Sustainable Practices," Production and Operations Management, Production and Operations Management Society, vol. 28(4), pages 767-787, April.
    11. Suresh Muthulingam & Anupam Agrawal, 2016. "Does Quality Knowledge Spillover at Shared Suppliers? An Empirical Investigation," Manufacturing & Service Operations Management, INFORMS, vol. 18(4), pages 525-544, October.
    12. Singer, Marcos & Donoso, Patricio & Traverso, Pedro, 2003. "Quality strategies in supply chain alliances of disposable items," Omega, Elsevier, vol. 31(6), pages 499-509, December.
    13. Yunjuan Liang & Xin Liang & Hua Wei, 2023. "Sustainable Quality-Incentive Contract Design of Public Technology Innovation Procurement under Asymmetry Information," Sustainability, MDPI, vol. 15(11), pages 1-22, May.
    14. Darghouth, M.N. & Ait-kadi, D. & Chelbi, A., 2017. "Joint optimization of design, warranty and price for products sold with maintenance service contracts," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 197-208.
    15. Moussawi-Haidar, Lama & Çömez-Dolgan, Nagihan, 2017. "Percentage rent contracts between co-stores," European Journal of Operational Research, Elsevier, vol. 258(3), pages 912-925.
    16. Tapiero, Charles S., 2007. "Consumers risk and quality control in a collaborative supply chain," European Journal of Operational Research, Elsevier, vol. 182(2), pages 683-694, October.
    17. Wang, Yukun & Liu, Yiliu & Li, Xiaopeng & Chen, Junyan, 2019. "Multi-phase reliability growth test planning for repairable products sold with a two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 315-326.
    18. van der Heijden, Matthieu & Iskandar, Bermawi P., 2013. "Last time buy decisions for products sold under warranty," European Journal of Operational Research, Elsevier, vol. 224(2), pages 302-312.
    19. Hamidi, Maryam & Liao, Haitao & Szidarovszky, Ferenc, 2016. "Non-cooperative and cooperative game-theoretic models for usage-based lease contracts," European Journal of Operational Research, Elsevier, vol. 255(1), pages 163-174.
    20. Murat Kaya & Özalp Özer, 2009. "Quality risk in outsourcing: Noncontractible product quality and private quality cost information," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(7), pages 669-685, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:245:y:2015:i:3:p:731-742. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.