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《Mathematics in Practice and Theory》 2013-16
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Research on Multi-Period Supply Chain Network Equilibrium Problem Based on Dual-Channel and Dual-Criteria

XU Shi-qin;JIN Jin;WEI Zi-qiu;LIU Guo-shan;School of Business,Renmin University of China;Department of Police Practice and Training People's Public Security University of China;School of Economics and Management,Hebei University of Technology;  
In this paper,we develop a multi-period supply chain network integrated with electronic commerce and dual-criteria decision-making.Specifically,we consider the influences of the discrete-time variable as well as the inventory in the model consisting of three tiers of decision-makers(manufacturers,retailers and consumers at demand markets) who compete within a tier but may cooperate between tiers.It is assumed that both the manufacturers and the retailers seek to achieve the optimization of dual-criteria decision-making,including maximizing their profits as well as minimizing their risks.We describe the independent behavior and interaction among the various decision-makers,derive the equilibrium conditions along with economic interpretations,and deduce a finite-dimensional variational inequality model which is equivalent to the multi-period supply chain network equilibrium problem based on dual-channel and dual-criteria.Subsequently,an essential qualitative property regarding the existence of the variational inequality model under reasonable assumptions is established and,finally,we illustrate the model with several numerical examples to verify the rationality of the model.
【Fund】: 国家自然科学基金(11171348)
【CateGory Index】: F724.6;F224
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