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With the continuous development of the logistics industry, logistics network has become the inevitable trend of development. More and more scholars have discussed the theory of logistics network, gives the different connotation and definition (Brimer, 1995; Alumur et al., 2012), through the continuous research of scholars, it can be concluded that the logistics network is characterized by multi-layer, multi-attribute, multi criteria, congestion and coordination, and the network with the above characteristics can be called supernetwork (Wang, 2011).The supernetwork refers to the network or large-scale network which is higher than that of the existing network, which reflects the relationship between the network and the overall characteristics of the network system (Nagurney, 2011; Nagurney, 2013). In order to analyze the relationship between factors and system characteristics of logistics network, introducing the ideas of supernetwork into logistics network modeling, has become a new research subject.
Supernetwork as a complex science, system theory knowledge includes optimization theory, network theory, game theory, variational inequality theory and projection system theory, etc. the research of the supernetwork focused on the supply chain network (Cruz, 2013; Manning, 2013; Yu & Nagurney, 2013; Nagurney & Li, 2015; Jabbarzadeh et al., 2014; Ma et al., 2015), knowledge network (Xi & Dang, 2007; Zhang et al., 2015), travel network (Ramadurai & Ukkusuri, 2010; Liao et al., 2010) and traffic network (Nagurney, 2006; Yamada et al., 2011; Yamada & Febri, 2015; Liao et al., 2017). Cruz (2013) and Manning (2013) draw out the social network from the three-level supply chain network, analysis of the commodity flow and social relations flow respectively, and then study the supply chain network and social network combination of supernetwork equilibrium, at the same time involves such problems as multiple products and multiple period problems. Yu (2013) and Nagurney (2015) discussed the problem of the supernetwork that two supply chain networks integrated, and proved that the combined supernetwork achieve the optimal equilibrium state of the system. Jabbarzadeh et al. (2014) and Ma et al. (2015) analyzed the optimization problem of the dynamic supply chain supernetwork system. Xi (2007) and Zhang (2015) study the knowledge sharing services and the formation of scientific and technological innovation team in the knowledge supernetwork environment. Yamada & Febri (2015), and Liao, et al, (2015) convert a supply chain network to transport network structure, prove that the supply chain network equilibrium model is equivalence with user equilibrium of traffic network.