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Pareto quantity flexibility contracts for a supply chain under multiple objectives

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  • C Shi

    (Washington State University)

  • B Chen

    (Washington State University)

Abstract

We analyse a decentralized supply chain consisting of a supplier and a retailer. The terms of trade between the two agents are specified by a quantity flexibility (QF) contract. We first identify the Pareto QF contracts for the supply chain where each agent adopts a satisficing objective, that is, to maximize the probability of achieving his/her predetermined target profit. It is shown that to coordinate such a supply chain, QF contracts have to degenerate into wholesale price (WP) contracts. This provides an additional justification for the popularity of WP contracts besides their simplicities and lower administration costs. Next, we consider the supply chain where each agent adopts multiple objectives, namely the satisficing objective and the objective of expected profit maximization (EPM). It is shown that there always exist QF contracts that coordinate the supply chain under the objective of EPM and are simultaneously Pareto optimal for the satisficing objective.

Suggested Citation

  • C Shi & B Chen, 2008. "Pareto quantity flexibility contracts for a supply chain under multiple objectives," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(5), pages 685-692, May.
  • Handle: RePEc:pal:jorsoc:v:59:y:2008:i:5:d:10.1057_palgrave.jors.2602378
    DOI: 10.1057/palgrave.jors.2602378
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    References listed on IDEAS

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    1. Joseph J. Spengler, 1950. "Vertical Integration and Antitrust Policy," Journal of Political Economy, University of Chicago Press, vol. 58(4), pages 347-347.
    2. Andy A. Tsay, 1999. "The Quantity Flexibility Contract and Supplier-Customer Incentives," Management Science, INFORMS, vol. 45(10), pages 1339-1358, October.
    3. Gérard P. Cachon, 2004. "The Allocation of Inventory Risk in a Supply Chain: Push, Pull, and Advance-Purchase Discount Contracts," Management Science, INFORMS, vol. 50(2), pages 222-238, February.
    4. Knox Lovell, C. A. & Pastor, Jesus T., 1997. "Target setting: An application to a bank branch network," European Journal of Operational Research, Elsevier, vol. 98(2), pages 290-299, April.
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    Cited by:

    1. Pinto, Roberto, 2016. "Stock rationing under a profit satisficing objective," Omega, Elsevier, vol. 65(C), pages 55-68.
    2. Dubey, Vivek Kumar & Chavas, Jean-Paul & Veeramani, Dharmaraj, 2018. "Analytical framework for sustainable supply-chain contract management," International Journal of Production Economics, Elsevier, vol. 200(C), pages 240-261.
    3. He, Xiuli & Khouja, Moutaz, 2011. "Pareto analysis of supply chain contracts under satisficing objectives," European Journal of Operational Research, Elsevier, vol. 214(1), pages 53-66, October.
    4. Raza, Syed Asif & Rathinam, Sivakumar, 2017. "A risk tolerance analysis for a joint price differentiation and inventory decisions problem with demand leakage effect," International Journal of Production Economics, Elsevier, vol. 183(PA), pages 129-145.
    5. Chernonog, Tatyana & Avinadav, Tal & Ben-Zvi, Tal, 2019. "How to set price and quality in a supply chain of virtual products under bi-criteria and risk consideration," International Journal of Production Economics, Elsevier, vol. 209(C), pages 156-163.
    6. Arcelus, F.J. & Kumar, Satyendra & Srinivasan, G., 2012. "Risk tolerance and a retailer's pricing and ordering policies within a newsvendor framework," Omega, Elsevier, vol. 40(2), pages 188-198, April.

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