A Finsler Geometrical Programming Approach to the Nonlinear Complementarity Problem of Traffic Equilibrium

被引：2
|
作者：
Asanjarani, Azam [1 ]
机构：
[1] Univ Auckland, Auckland, New Zealand
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2023年 / 196卷 / 03期
关键词：
Traffic equilibrium; Finsler geometry; Nonlinear complementarity problem; Randers metric; PRIMAL-DUAL ALGORITHM; LIPSCHITZ GRADIENT CONTINUITY; PROXIMAL POINT ALGORITHM; 1ST-ORDER METHODS; CONVERGENCE ANALYSIS; VARIATIONAL INEQUALITY; CONVEX-OPTIMIZATION; GENERALIZED NEWTON; SPLITTING METHOD; NCP-FUNCTIONS;
D O I：
10.1007/s10957-023-02162-y
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We consider a geometrical approach to the optimisation problems motivated by transportation system management. Here, we provide a comprehensive account of geometric programming based on the elementary Finsler geometry in RA. Then, we present a Finslerian dynamical model for the nonlinear complementarity problem of traffic equilibrium that can be applied to a variety of equilibrium problems.
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页码：797 / 809
页数：13
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