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Zbl 1009.90093
Goh, C.J.; Yang, X.Q.
Vector equilibrium problem and vector optimization. (English)
[J] Eur. J. Oper. Res. 116, No.3, 615-628 (1999). ISSN 0377-2217

Summary: This paper examines the vector equilibrium model based on a vector cost consideration. This is a generalization of the well-known Wardrop traffic equilibrium principle where road users choose paths based on just a single cost. The concept of parametric equilibria is introduced and used to establish relations with parametric complementarity and variational inequality problems. Relations with some vector optimization problems via scalarization techniques are given under appropriate conditions. Some solution methods for solving vector equilibrium problems are also discussed.

MSC 2000:: *90C27 Combinatorial programming
90B20 Highway traffic
90C33 Complementarity problems
90C31 Sensitivity, etc.

Keywords: vector equilibrium; parametric equilibrium; parametric complementarity problem; vector optimization

Cited in: Zbl 1131.90010

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