Exactness of Penalty Functions for Solving MPEC Model of the Transportation Network Optimization Problems with User Equilibrium Constraints

2006 ◽  
Author(s):  
Chang-ying Hu
Keyword(s):  
Network Optimization ◽  
Optimization Problems ◽  
Transportation Network ◽  
User Equilibrium ◽  
Penalty Functions ◽  
Equilibrium Constraints

scholarly journals A Two-Phase Gradient Projection Algorithm for Solving the Combined Modal Split and Traffic Assignment Problem with Nested Logit Function

2021 ◽  
Vol 2021 ◽  
pp. 1-18
Author(s):  
Seungkyu Ryu ◽  
Anthony Chen ◽  
Songyot Kitthamkesorn
Keyword(s):  
Large Scale ◽  
Traffic Assignment ◽  
Transportation Network ◽  
User Equilibrium ◽  
Gradient Projection ◽  
Projection Algorithm ◽  
Nested Logit ◽  
Two Phase ◽  
Phase Gradient ◽  
Modal Split

This study provides a gradient projection (GP) algorithm to solve the combined modal split and traffic assignment (CMSTA) problem. The nested logit (NL) model is used to consider the mode correlation under the user equilibrium (UE) route choice condition. Specifically, a two-phase GP algorithm is developed to handle the hierarchical structure of the NL model in the CMSTA problem. The Seoul transportation network in Korea is adopted to demonstrate an applicability in a large-scale multimodal transportation network. The results show that the proposed GP solution algorithm outperforms the method of the successive averages (MSA) algorithm and the classical Evan’s algorithm.

A metaheuristic approach for optical network optimization problems

2013 ◽  
Vol 13 (2) ◽  
pp. 981-997 ◽  
Author(s):  
Urmila Bhanja ◽  
Sudipta Mahapatra
Keyword(s):  
Network Optimization ◽  
Optimization Problems ◽  
Optical Network
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