The nonlinear complementarity model of industrial symbiosis network equilibrium problem

Shiqin Xu; Guoshan Liu; Wendai Lv; Yingmei Liu

RAIRO - Operations Research - Recherche Opérationnelle (2014)

  • Volume: 48, Issue: 4, page 559-594
  • ISSN: 0399-0559

Abstract

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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.

How to cite

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Xu, Shiqin, et al. "The nonlinear complementarity model of industrial symbiosis network equilibrium problem." RAIRO - Operations Research - Recherche Opérationnelle 48.4 (2014): 559-594. <http://eudml.org/doc/275042>.

@article{Xu2014,
abstract = {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.},
author = {Xu, Shiqin, Liu, Guoshan, Lv, Wendai, Liu, Yingmei},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {industrial symbiotic networks; nonlinear complementarity; theory equilibrium conditions; multicriteria decision-making; nonlinear complementarity model; optimization; equilibrium conditions},
language = {eng},
number = {4},
pages = {559-594},
publisher = {EDP-Sciences},
title = {The nonlinear complementarity model of industrial symbiosis network equilibrium problem},
url = {http://eudml.org/doc/275042},
volume = {48},
year = {2014},
}

TY - JOUR
AU - Xu, Shiqin
AU - Liu, Guoshan
AU - Lv, Wendai
AU - Liu, Yingmei
TI - The nonlinear complementarity model of industrial symbiosis network equilibrium problem
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 2014
PB - EDP-Sciences
VL - 48
IS - 4
SP - 559
EP - 594
AB - 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.
LA - eng
KW - industrial symbiotic networks; nonlinear complementarity; theory equilibrium conditions; multicriteria decision-making; nonlinear complementarity model; optimization; equilibrium conditions
UR - http://eudml.org/doc/275042
ER -

References

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