Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (3): 1093-1101.doi: 10.1016/S0252-9602(12)60082-4

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EXISTENCE OF STRONGLY VALID TOLLS FOR MULTICLASS NETWORK EQUILIBRIUM PROBLEMS

 ZHU Dao-Li1, LI Chang-Min2, CHEN Guang-Ya3   

  1. 1.Antai College of Economics &|Management, Shanghai Jian Tong Uniersity, Shanghai 200052, China|2.School of Management, Shanghai University, Shanghai 200444, China|3.Academy of Mathematics and Systems Science, CAS, Beijing 100190, China
  • Received:2010-09-27 Online:2012-05-20 Published:2012-05-20
  • Supported by:

    This research is supported by the National Natural Science Foundation of China NSFC: 71071035.

Abstract:

In this article, we consider the multiclass network equilibrium problems. A so called strongly valid toll can support any multiclass user equilibrium flow pattern as a system minimum when the system objective function is measured by total emission. Using Hoffman lemma and exact penalization method, we provide the existence of strongly valid tolls for multiclass network equilibrium problems.

Key words: Traffic equilibrium problems, strongly valid tolls, Hoffman lemma

CLC Number: 

  • 90B20
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