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July  2006, 2(3): 269-286. doi: 10.3934/jimo.2006.2.269

Henig efficiency of a multi-criterion supply-demand network equilibrium model

1. 

Department of Logistics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China

2. 

Department of Mathematics, Chongqing Normal University, Chongqing, China

Received  May 2005 Revised  July 2005 Published  July 2006

This paper addresses Henig efficiency of a multi-product network equilibrium model based on Wardrop's principle. We show that in both the single and multiple criteria cases, such proper efficiency can be recast as a vector variational inequality. In the multiple criteria case, we derive a sufficient and a necessary condition for Henig efficiency in terms of a vector variational inequality by using the Gerstewitz's function.
Citation: T.C. Edwin Cheng, Yunan Wu. Henig efficiency of a multi-criterion supply-demand network equilibrium model. Journal of Industrial and Management Optimization, 2006, 2 (3) : 269-286. doi: 10.3934/jimo.2006.2.269
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