عنوان مقاله [English]
نویسندگان [English]چکیده [English]
In this paper the closed-loop supply chain network design problem is modeled and solved in a competitive and uncertain environment. The competition between two supply chains is on the price of products in forward channel and the price of returns (incentives) on the reverse channel. Demand is price sensitive and the amount of returned products is also linearly dependent on the incentives. Fuzzy set theory is used to cope with uncertainty. The proposed bi-level model is proved to be concave then we turn it to a single level model which is also proved to be a concave one. Afterwards, the single level model is solved using the Benders Decomposition approach. Finally, computational results are presented based on data inspired from real case. Results show that the proposed algorithm is converged in reasonable iterations. Increasing the price elasticity coefficient (intensifying competition) leads to less profit and Increasing the rivalâs price elasticity coefficient leads to more profits for the existing chain.
 Rezapour S., Farahani RZ, Ghodsipour S. H., Abdollahzadeh S. (2011) “Strategic design of competing supply chain networks with foresight”. Advances in Engineering Software; 42: 130–141.
 Xiao T., Yang D. (2008) “Price and service competition of supply chains with risk-averse retailers under demand uncertainty”. Int. J. Production Economics; 114: 187–200.
 Boyaci T., Gallego G. (2004) “Supply chain coordination in a market with customer service competition”. Production and Operations Management; 13 (1): 3–22.
 Zhang D. (2006) “A network economic model for supply chain versus supply chain competition”. Omega; 34: 283 – 295.
 Farahani RZ, Rezapour S., Drezner T., Fallah S. (2013) “Competitive supply chain network design: An overview of classifications, models, solution techniques and applications”. Omega; http://dx.doi.org/10.1016/j.omega.2013.08.006i
 Chen M. J., Chang C. I. (2012) “The co-opetitive strategy of a closed-loop supply chain with remanufacturing”. Transportation Research Part E; 48: 387–400.
 Atasu, A., Guide Jr, V.D.R., Van Wassenhove, L.N. (2010) “So what if remanufacturing cannibalizes my new product sales?” California Management Review; 52 (2), 56–76.
 Choi T. M., Li Y., Xu L. (2013) “Channel leadership, performance and coordination in closed loop supply chains”. Int. J. Production Economics; 146: 371–380.
 Karakayali I., Emir-Farinas H., Akcal E. (2007) “An analysis of decentralized collection and processing of end-of-life products”. Journalof Operations Management; 25(6), 1161–1183.
 Wei J., Govindan K., Li Y., Zhao J. (2013) “Pricing and collecting decisions in a closed-loop supply chain with symmetric and asymmetric information”. Computers and Operations Research; http://dx.doi.org/10.1016/j.cor.2013.11.021i
 Schenkel M., Krikke H., Caniëls M., van der Laan E. (2015) “Creating integral value for stakeholders in closed loop supply chains”. Journal of Purchasing & Supply Management; http://dx.doi.org/10.1016/j.pursup.2015.04.003i
 Govindan K., Soleimani H., Kannan D. (2015) “Reverse logistics and closed-loop supply chain: A comprehensive review to explore the future”. European Journal of Operational Research; 240: 603-626.
 Rezapour S, Farahani RZ. (2010) “Strategic design of competing centralized supply chain networks for markets with deterministic demands”. Advances in Engineering Software; 41: 810–822.
 Fallah H., Eskandari H., Pishvaee M. (2015) “Competitive closed-loop supply chain network design under uncertainty”. Journal of Manufacturing Systems; in press.
 Rezapour S., Zanjirani Farahani R., Fahimnia B., Govindan K. (2015) “Competitive closed-loop supply chain network design with price-dependent demands”. Journal of Cleaner Production 93: 251-272.
 Nagurney A., Dong J., Zhang D. (2002) “A supply chain network equilibrium model”. Transport Res E; 38: 281–303.
 Wu Q., Chen H. (2003) “Chain–Chain Competition Under Demand Uncertainty. Working Paper. The University of British Columbia”
 Anderson E. J., Bao Y. (2010) “Price competition with integrated and decentralized supply chains”. European Journal of Operational Research; 200:227–234.
 Rezapour S., Farahani RZ., Drezner T. (2011) “Strategic design of competing supply chain networks for inelastic demand”. Journal of the Operational Research Society; 62: 1784–1795.
 Klibi W., Martel A., Guitouni A. (2010) “The design of robust value-creating supply chain networks: a critical review”. European Journal of Operational Research; 203: 283–293.
 Inuiguchi M., Ramik J. (2000) “Possibilistic linear programming: a brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem”. Fuz. Sets and Syst; 111: 3–28.
 Jimenez M. (1996) “Ranking fuzzy numbers through the comparison of its expected intervals”. Int. J. of Uncert; 4: 379–388.
 نعیمی صدیق علی، چهارسوقی کمال، شیخمحمدی مجید. طراحی مدل هماهنگی در زنجیره تأمین رقابتی با استفاده از رویکرد نظریه بازی با همکاری و بدون همکاری. مدل سازی در مهندسی. 1391; 10 (29) :19-31
 چهارسوقی کمال، اشرفی مهدی. انتخاب تأمین کننده پایدار و تخصیص سفارش با الگوریتم تغییر شکل یافته بندرز. مدل سازی پیشرفته ریاضی. 1392; 2 (3): 81-101