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http://hdl.handle.net/10397/36149
Title: | Closed-loop supply chain network under oligopolistic competition with multiproducts, uncertain demands, and returns | Authors: | Zhou, Y Chan, CK HungWong, K Lee, YCE |
Issue Date: | 2014 | Source: | Mathematical problems in engineering, 2014, 912914 | Abstract: | We develop an equilibrium model of a closed-loop supply chain (CLSC) network with multiproducts, uncertain demands, and returns. This model belongs to the context of oligopolistic firms that compete noncooperatively in a Cournot-Nash framework under a stochastic environment. To satisfy the demands, we use two different channels: manufacturing new products and remanufacturing returned products through recycling used components. Since both the demands and product returns are uncertain, we consider two types of risks: overstocking and understocking of multiproducts in the forward supply chain. Then we set up the Cournot-Nash equilibrium conditions of the CLSC network whereby we maximize every oligopolistic firm's expected profit by deciding the production quantities of each new product as well as the path flows of each product on the forward supply chain. Furthermore, we formulate the Cournot-Nash equilibrium conditions of the CLSC network as a variational inequality and prove the existence and the monotonicity of the variational inequality. Finally, numerical examples are presented to illustrate the efficiency of our model. | Publisher: | Hindawi Publishing Corporation | Journal: | Mathematical problems in engineering | ISSN: | 1024-123X | EISSN: | 1563-5147 | DOI: | 10.1155/2014/912914 | Rights: | Copyright © 2014 Yan Zhou et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The following article: Zhou, Y., Chan, C. K., Wong, K. H., & Lee, Y. C. E. (2014). Closed-loop supply chain network under oligopolistic competition with multiproducts, uncertain demands, and returns. Mathematical problems in engineering, 2014, is available at https//doi.org/10.1155/2014/912914 |
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