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ORIGINAL ARTICLES

An analysis of a supply chain with options contracts and service requirements

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Pages 805-819
Received 01 Aug 2009
Accepted 01 Nov 2011
Accepted author version posted online: 02 Jan 2012
Published online:30 Jul 2012
 

This article studies a one-period two-party supply chain with a service requirement. At the beginning of a single retail season, the retailer can obtain goods by either ordering from a firm or by purchasing and exercising call options. The retailer’s optimal ordering policy and the supplier’s optimal production policy are derived in the presence of options contracts and a service requirement. In addition, it is shown that options contracts benefit both the retailer and supplier. Furthermore, it is shown that the retailer’s optimal expected profit is non-increasing in the service requirement and the supplier’s optimal expected profit is non-decreasing in the service requirement, either with or without options contracts. A special class of distribution-free contracts that can coordinate the supply chain with options contracts and the service requirement are derived. Furthermore, as opposed to the case of non-coordinating contracts, it is shown that there is always a Pareto contract. Finally, the retailer’s and supply chain’s optimal service level are derived.

Acknowledgements

The authors would like to thank Seyed Iravani and the anonymous reviewers for helpful comments and suggestions. This research was partially supported by NSF grants CMMI 1068862 and 1031637, NSF China grant 71128001, Youth Foundation for Humanities and the Social Sciences of Ministry of Education of China (No. 11YJC630022), the Fundamental Research Funds for the Central Universities (No. ZYGX2009X020), and Sichuan Province Key Technology R&D Program (No. 2012FZ0003).

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