# American Institute of Mathematical Sciences

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