Paper Information

Journal:   AMIRKABIR   FALL 2007- WINTER 2008 , Volume 18 , Number 67-E; Page(s) 37 To 44.
 
Paper: 

APPLICATION OF FINSLER GEOMETRY IN THE NONLINEAR COMPLEMENTARITY PROBLEM OF TRAFFIC EQUILIBRIUM

 
 
Author(s):  BID ABAD B., ASANJARANI A.
 
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Abstract: 

In this paper, first, the traffic problem is studied from the Finsler geometric point of view and it is shown that the related metric is a Finsler metric of Randers type. Therefore, the time optimal paths of traffic problem are geodesics of this Randers metric. A real example is given by using the Maple program. Then a nonlinear complementary problem for traffic equilibrium problem is studied and it is shown that a Randers metric can be considered as a gap function in the nonlinear complementarity problem. Next, we extend the nonlinear complementarity problem of traffic equilibrium for a dynamical network. These results may be used in the different equilibrium problems.

 
Keyword(s): FINSLER GEOMETRY, NONLINEAR COMPLEMENTARITY PROBLEM, TRAFFIC EQUILIBRIUM PROBLEM, RANDERS METRIC
 
References: 
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