The nonlinear complementarity model of industrial symbiosis network equilibrium problem
RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 4, pp. 559-594.

In this paper, we propose an industrial symbiosis network equilibrium model by using nonlinear complementarity theory. The industrial symbiosis network consists of industrial producers, industrial consumers, industrial decomposers and demand markets, which imitates natural ecosystem by means of exchanging by-products and recycling useful materials exacted from wastes. The industrial producers and industrial consumers are assumed to be concerned with maximization of economic profits as well as minimization of emissions. We describe the optimizing behavior, derive optimality conditions of the various decision-makers along with respective economic interpretations and establish the nonlinear complementarity model in accordance with the industrial symbiosis network equilibrium conditions. Based on the existence proof of the corresponding nonlinear complementarity model under reasonable assumptions, two groups of numerical examples are given to illustrate the rationality as well as the effectiveness of the model.

DOI : 10.1051/ro/2014024
Classification : 49J40, 90B06, 91A40
Mots-clés : industrial symbiotic networks, nonlinear complementarity, theory equilibrium conditions, multicriteria decision-making
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     title = {The nonlinear complementarity model of industrial symbiosis network equilibrium problem},
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Xu, Shiqin; Liu, Guoshan; Lv, Wendai; Liu, Yingmei. The nonlinear complementarity model of industrial symbiosis network equilibrium problem. RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 4, pp. 559-594. doi : 10.1051/ro/2014024. http://archive.numdam.org/articles/10.1051/ro/2014024/

[1] W. Ashworth, The encyclopedia of environmental studies. Facts On File Inc., New York (1991).

[2] D. Beers, A. Bossilkov, G. Corder and R. Berkel, Industrial symbiosis in the Australian minerals industry: the cases of Kwinana and Gladstone. J. Ind. Ecol. 11 (2007) 55-72.

[3] S.K. Behera, J.H. Kim, S.Y. Lee, S. Suh and H.S. Park, Evolution of ‘designed' industrial symbiosis networks in the Ulsan Eco-industrial Park: ‘research and development into business' as the enabling framework. J. Clean. Prod. 29-30 (2012) 103-112.

[4] M.R. Chertow, Industrial symbiosis: literature and taxonomy. Ann. Rev. Energy Environment 25 (2000) 313-337.

[5] M.R. Chertow, “Uncovering” industrial symbiosis. J. Ind. Ecol. 11 (2007) 11-30.

[6] M.R. Chertow and R.T. Lombardi, Quantifying economic and environmental benefits of co-located firms. Environ. Sci. Technol. 39 (2005) 6535-6540.

[7] E. Cohen-Rosenthal, Eco-industrial strategies: Unleashing synergy between economic development and the environment. Greenleaf Publishing, Sheffield, UK (2003).

[8] R.P. Côté and E. Cohen-Rosenthal, Designing eco-industrial parks: a synthesis of some experiences. J. Clean. Prod. 6 (1998) 181-188.

[9] R.P. Côté and T. Smolenaars, Supporting pillars for industrial ecosystems. J. Clean. Prod. 1-2 (1997) 67-74.

[10] R.P. Côté, T. Kelly, J. Macdonnell, T. Mermer, R. Murray and T. Smolenars, The industrial park as an ecosystem: sectoral case studies. Halifax (Nova Scotia, Canada), Dalhousie University, School for Resource and Environmental Studies (1996).

[11] T. Domenecha and M. Davies, Structure and morphology of industrial symbiosis networks: the case of Kalundborg. Procedia Social and Behavioral Sciences 10 (2011) 79-89.

[12] J. Dong, D. Zhang and A. Nagurney, A supply chain network equilibrium model with random demands. Eur. J. Oper. Res. 156 (2004) 194-212. | MR | Zbl

[13] J. Ehrenfeld and N. Gertler, Industrial ecology in practice: the evolution of interdependence at Kalundborg. J. Ind. Ecol. 1 (1997) 67-79.

[14] A. Fischer, A special Newton-type optimization method. Optimization 24 (1992) 269-284. | MR | Zbl

[15] A.K. Fleig, Eco-industrial parks: A strategy towards industrial ecology in developing and newly industrialized countries. Ashburn, Germany: Deutsche Press (2000).

[16] Y. Geng and B. Doberstein, Developing the circular economy in China: challenges and opportunities for achieving ‘leapfrog development'. Int. J. Sustain. Dev. World Ecol. 15 (2008) 231-239.

[17] D. Gibbs and P. Deutz, Reflections on implementing industrial ecology through eco-industrial park development. J. Clean. Prod. 15 (2007) 1683-1695.

[18] D. Hammond and P. Beullens, Closed-loop supply chain network equilibrium under legislation. Eur. J. Oper. Res. 183 (2007) 895-908. | Zbl

[19] E. Harper and T. Graedel, Industrial Ecology: a teenager's progress. Technol. Soc. 26 (2004) 433-445.

[20] C. Kanzow, N. Yamashita and M. Fukushima, New NCP-functions and their properties. J. Opt. Theor. Appl. 94 (1997) 115-135. | MR | Zbl

[21] I. Kantor, M. Fowler and A. Elkamel, Optimized production of hydrogen in an eco-park network accounting for life-cycle emissions and profit. Int. J. Hydrogen Energ. 37 (2012) 5347-5359.

[22] J. Korhonen, Industrial ecology in the strategic sustainable development model: strategic applications of industrial ecology. J. Clean. Prod. 12 (2004) 809-823.

[23] E. Liwarska-Bizukojc, M. Bizukojc, A. Marcinkowski and A. Doniec, The conceptual model of an eco-industrial park based upon ecological relationships. J. Clean. Prod. 17 (2009) 732-741.

[24] E.A. Lowe and L.K. Evans, Industrial ecology and industrial ecosystems. J. Clean. Prod. 3 (1995) 47-53.

[25] G.S. Liu and S.Q. Xu, Multiperiod supply chain network equilibrium model with electronic commerce and multicriteria decision-making. RAIRO-Oper. Res. 46 (2012) 253-287. | Numdam | MR | Zbl

[26] S. Majumdar, Developing an eco-industrial park in the Lloydminster area. Master Thesis, University of Calgary, Canada (2001).

[27] M. Mirata, Experiences fromearly stages of a national industrial symbiosis programme in the UK: determinants and coordination challenges. J. Clean. Prod. 12 (2004) 967-983.

[28] M. Mirata and T. Emtairah, Industrial symbiosis networks and the contribution to environmental innovation: the case of the Landskrona industrial symbiosis programme. J. Clean. Prod. 13 (2005) 993-1002.

[29] A. Nagurney and J. Dong, Management of knowledge intensive systems as supernetworks: modelling, analysis, computations, and applications. Math. Comput. Modell. 42 (2005) 397-417. | MR | Zbl

[30] A. Nagurney and T. Toyasaki, Reserve supply chain management and electronic waste recycling: a multitiered network equilibrium framework for e-cycling. Transp. Res. 41 (2005) 1-28.

[31] A. Nagurney and D. Zhang, Projected dynamical systems and variational inequalities with applications. Kluwer Academic Publishers, Dordrecht (1996). | Zbl

[32] A. Nagurney, J. Dong and D. Zhang, A supply chain network equilibrium model. Transp. Res. E 38 (2002) 281-303.

[33] A. Nagurney, J. Cruz and J. Dong, Supply chain networks, electronic commerce, and supply side and demand side risk. Eur. J. Oper. Res. 164 (2005) 120-142. | Zbl

[34] A. Nagurney, J. Dong and D. Zhang, Supply chain network and electronic commerce: a theoretical perspective. Netnomics. 4 (2002) 187-220.

[35] A. Nagurney, K. Ke and J. Gruz, Dynamics of supply chains: a multilevel (logistical/informational/financial) network perspective. Environ. Plann. B 29 (2002) 795-818.

[36] A. Posch, Industrial recycling networks as starting points for broader sustainability-oriented cooperation? J. Ind. Ecol. 14 (2010) 242-257.

[37] B.H. Roberts, The application of industrial ecology principles and planning guidelines for the development of eco-industrial parks: an Australian case study. J. Clean. Prod. 12 (2004) 997-1010.

[38] E.J. Schwarz and K.W. Steininger, Implementing nature's lesson: the industrial recycling network enhancing regional development. J. Clean. Prod. 15 (1997) 47-56.

[39] L. Sokka, S. Pakarinen and M. Melanen, Industrial symbiosis contributing to more sustainable energy use-an example from the forest industry in Kymenlaakso, Finland. J. Clean. Prod. 19 (2011) 285-293.

[40] Y.M. Song, Network complexity study of industrial symbiotic system. Master Thesis, Tsinghua University, China (2006).

[41] T. Tudor, E. Adam and M. Bates, Drivers and limitations for the successful development and functioning of EIPs (eco-industrial parks): a literature review. Ecol. Econ. 61 (2007) 199-207.

[42] Z.H. Wang, Research on industrial symbiosis network in eco-industrial parks. Doctor Thesis, Dalian University of Technology, China (2002).

[43] G.F. Yang, Z.P. Wang and X.Q. Li, The optimization of the closed-loop supply chain network. Transp. Res. Part E 45 (2009) 16-28.

[44] Z. Yuan and L. Shi, Improving enterprise competitive advantage with industrial symbiosis: case study of a smeltry in China. J. Clean. Prod. 17 (2009) 1295-1302.

[45] H.M. Zheng, Y. Zhang and N.J. Yang, Evaluation of an eco-industrial park based on a social network analysis. Procedia Environ. Sci. 13 (2012) 1624-1629.

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