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Closed-loop supply chain network equilibrium under legislation. (English) Zbl 1205.90150

Summary: This paper expands previous work dealing with oligopolistic supply chains to the field of closed-loop supply chains. The model presented has been formulated with the intent of examining issues surrounding the recent European Union directive regarding waste of electric and electronic equipment (WEEE). The network modelled consists of manufacturers and consumer markets engaged in a Cournot pricing game with perfect information. Closed-loop supply chain network equilibrium occurs when all players agree on volumes shipped and prices charged. Certain properties of the model are examined analytically. Numeric examples are included and have been solved using an extragradient method with constant step size. The equilibrium solution obtained provide interesting insights that lead into a number of areas for future research.

MSC:

90B50 Management decision making, including multiple objectives
90B06 Transportation, logistics and supply chain management
90C30 Nonlinear programming
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[1] Bertsekas, D. P.; Tsitsiklis, J. N., Parallel and Distributed Computation: Numerical Methods (1989), Prentice Hall: Prentice Hall Edgewood Cliffs, NJ · Zbl 0743.65107
[2] Beullens, P., Reverse logistics in effective recovery of products from waste materials, Reviews in Environmental Science & BioTechnology, 3, 283-306 (2004)
[3] Calcott, P.; Walls, M., Waste, recycling, and design for environment: roles for markets and policy instruments, Resource and Energy Economics, 27, 287-305 (2005)
[4] Debo, L. G.; Toktay, L. B.; Van Wassenhove, L. N., Market segmentation and product technology selection for remanufacturable products, Management Science, 51, 1193-1205 (2003)
[5] European Union. Directive 2002/96/EC of the European Parliament and of the Council of 27 January 2003 on waste electrical and electronic equipment (WEEE). Official Journal of the European Union, L 37/34.; European Union. Directive 2002/96/EC of the European Parliament and of the Council of 27 January 2003 on waste electrical and electronic equipment (WEEE). Official Journal of the European Union, L 37/34.
[6] Fleischmann, M.; Beullens, P.; Bloemhof-Ruwaard, J. M.; Van Wassenhove, L. N., The impact of product recovery on logistics network design, Production and Operations Management, 10, 156-173 (2001)
[7] Fullerton, D.; Wu, W., Policies for green design, Journal of Environmental Economics and Management, 36, 131-148 (1998) · Zbl 0926.91050
[8] Guide, V. D.R.; Harrison, T.; Van Wassenhove, L. N., The challenge of closed-loop supply chains, Interfaces, 33, 3-6 (2003)
[9] Guide, V. D.R.; Teunter, R. H.; Van Wassenhove, L. N., Matching demand and supply to maximize profits from remanufacturing, Manufacturing & Service Operations Management, 5, 303-316 (2003)
[10] Heese, H. S.; Cattani, K.; Ferrer, G.; Gilland, W.; Roth, A. V., Competitive advantage through take-back of used products, European Journal of Operational Research, 164, 143-157 (2005) · Zbl 1132.90351
[11] Korpelevich, G. M., The extragradient method for finding the solution of variational inequalities and some optimization problems, Matecon, 12, 747-756 (1976) · Zbl 0342.90044
[12] Krikke, H.; Bloemhof-Ruwaard, J.; Van Wassenhove, L. N., Concurrent product and closed-loop supply chain design with an application to refrigerators, International Journal of Production Research, 41, 3689-3719 (2003) · Zbl 1059.90054
[13] Kulshreshtha, P.; Sarangi, S., No return, no refund: an analysis of deposit-refund systems, Journal of Economic Behaviour & Organization, 46, 379-394 (2001)
[14] Majumder, P.; Groenevelt, H., Competition in remanufacturing, Production and Operations Management, 10, 125-141 (2001)
[15] Nagurney, A., Network Economics: A Variational Equality Approach, Kluwer Academic Publishers (1993) · Zbl 0873.90015
[16] Nagurney, A.; Toyasaki, F., Reverse supply chain management and electronic waste recycling: a multitiered network equilibrium framework for e-cycling, Transportation Research Part E, 41, 1-28 (2005)
[17] Nagurney, A.; Dong, J.; Zhang, D., A supply chain network equilibrium model, Transportation Research Part E, 38, 281-303 (2002)
[18] Savaskan, R. C.; Bhattacharya, S.; Van Wassenhove, L. N., Closed-loop supply chains models with product remanufacturing, Management Science, 50, 239-252 (2004) · Zbl 1232.90119
[19] Tinti F. Extragradient method with constant steplength. World Wide Web. 2006; http://dm.unife.it/tinti/VIPs/methods/extrafixed.m; Tinti F. Extragradient method with constant steplength. World Wide Web. 2006; http://dm.unife.it/tinti/VIPs/methods/extrafixed.m
[20] Vega-Redondo, F., Economics and the Theory of Games (2003), Cambridge University Press: Cambridge University Press Cambridge
[21] Widmer, R.; Oswald-Krapf, H.; Sinha-Khetriwal, D., Global perspectives on e-waste, Environmental Impact Assessment Review, 25, 436-458 (2005)
[22] Wojanowski, R.; Verter, V.; Boyaci, T., Retail-collection network design under deposit-refund, Computers & Operations Research, 34, 2, 324-345 (2007) · Zbl 1109.90014
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