A New Type of Algorithm for the Variational Inequalities on Supply Chain Economic Equilibrium Model

2011 ◽  
Vol 267 ◽  
pp. 344-349
Author(s):  
Lei Wang
Keyword(s):  
Supply Chain ◽  
Variational Inequality ◽  
Variational Inequalities ◽  
Error Bound ◽  
Equilibrium Model ◽  
Global Error ◽  
Network Equilibrium ◽  
Supply Chain Network ◽  
Global Error Bound ◽  
New Type

In this paper, we consider an algorithm for variational inequality(VI) problem on the supply chain network equilibrium model, which is established by Dong et al.. To this end, we first develop a global error bound for VI, which can be taken as an extension of the existing global error bound for VI, then present the convergence analysis of the method for solving the variational inequalities, and the convergence rate are also given under same conditions.

scholarly journals A Supply Chain-Logistics Super-Network Equilibrium Model for Urban Logistics Facility Network Optimization

2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Yongyi Su ◽  
Jin Qin ◽  
Peng Yang ◽  
Qiwei Jiang
Keyword(s):  
Decision Making ◽  
Supply Chain ◽  
Variational Inequality ◽  
Network Optimization ◽  
Equilibrium Model ◽  
Network Equilibrium ◽  
Supply Chain Network ◽  
Logistics Network ◽  
Supply Chain Logistics ◽  
Inequality Theory

The logistics facility decisions may be the most critical and most difficult of the decisions needed to realize an efficient supply chain since these decisions have significant effects on the logistics costs generated in the logistics network. We establish a logistics super network equilibrium integrating urban logistics facilities with members of traditional supply chain network, using the variational inequality theory. This model takes into account the behavior of logistics facilities and the transactions between retailers and logistics facilities are examined in this paper. Furthermore, we obtain the equilibrium condition of the system, and the economic explanation and algorithm are given. Finally, some verification examples are provided to verify the solution and decision-making application.

Supply Chain Network Equilibrium Model Based on Corporate Social Responsibility with Multicriteria under the Revenue-Sharing Contract

2012 ◽  
Vol 452-453 ◽  
pp. 282-288 ◽  
Author(s):  
Yan Huo
Keyword(s):  
Corporate Social Responsibility ◽  
Supply Chain ◽  
Social Responsibility ◽  
Equilibrium Model ◽  
Revenue Sharing ◽  
Social Utility ◽  
Network Equilibrium ◽  
Supply Chain Network ◽  
Revenue Sharing Contract ◽  
Corporate Social

This paper developed a three-level supply chain network equilibrium model with multi products and multicriteria based on corporate social responsibility through integrating the maximization of economic benefits, the maximization of social utility and the minimization of environment pollution under revenue-sharing contract. We analysed competitive behaviour of manufactures and retailers in a no cooperative competitive and described the multicriteria decision-making behaviour using Nash equilibrium theory and the weighted value function. Using product utility functions of brand differentiation and consumer preferences from product price, transaction cost and corporation social responsibility to analyse product choice in a market, and we developed the optimization conditions of each tier and whole network by variational inequality method. At last we illustrated the model with several numerical examples.

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