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.

引用

页码：797 / 809

页数：13

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