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

T.C. Edwin Cheng; Yunan Wu

doi:10.3934/jimo.2006.2.269

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2006, Volume 2, Issue 3: 269-286. Doi: 10.3934/jimo.2006.2.269

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

T.C. Edwin Cheng^1, and
Yunan Wu^2,

1.
Department of Logistics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong
2.
Department of Mathematics, Chongqing Normal University, Chongqing

Received: April 30, 2005

Revised: June 30, 2005

Published: June 2006

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Abstract

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.

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Mathematics Subject Classification: Primary: 90C29, 90C35; Secondary: 90B06, 90B10.

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