scholarly journals Cooperation in traffic network problems via evolutionary split variational inequalities

2017 ◽  
Vol 13 (5) ◽  
pp. 0-0
Author(s):  
Shipra Singh ◽  
◽  
Aviv Gibali ◽  
Xiaolong Qin ◽  
◽  
...  
Keyword(s):  
Variational Inequalities ◽  
Traffic Network ◽  
Network Problems ◽  
Traffic Network Problems

scholarly journals REGULARITY RESULTS FOR TIME-DEPENDENT VARIATIONAL AND QUASI-VARIATIONAL INEQUALITIES AND APPLICATION TO THE CALCULATION OF DYNAMIC TRAFFIC NETWORK

2007 ◽  
Vol 17 (02) ◽  
pp. 277-304 ◽  
Author(s):  
ANNAMARIA BARBAGALLO
Keyword(s):  
Variational Inequalities ◽  
Time Dependent ◽  
Network Equilibrium ◽  
Traffic Network ◽  
Set Convergence ◽  
Appropriate Use ◽  
Continuity Of Solutions ◽  
Regularity Results ◽  
Network Equilibrium Problem ◽  
Discretization Procedure

The aim of this paper is to consider time-dependent variational and quasi-variational inequalities and to study under which assumptions the continuity of solutions with respect to time can be ensured. Making an appropriate use of the set convergence in Mosco's sense, we are able to prove continuity results for strongly monotone variational and quasi-variational inequalities. The continuity results allow us to provide a discretization procedure for the calculation of solutions to the variational inequalities and, as a consequence, we can solve the time-dependent traffic network equilibrium problem.

scholarly journals Fuzzy System and Time Window Applied to Traffic Service Network Problems under a Multi-Demand Random Network

Electronics ◽  
2019 ◽  
Vol 8 (5) ◽  
pp. 539 ◽  
Author(s):  
Chia-Ling Huang ◽  
Sin-Yuan Huang ◽  
Wei-Chang Yeh ◽  
Jinhai Wang
Keyword(s):  
Fuzzy System ◽  
Network Architecture ◽  
Time Window ◽  
Network Reliability ◽  
Economic Losses ◽  
Traffic Network ◽  
Service Network ◽  
The Past ◽  
Network Problems ◽  
Reliability Method

The transportation network promotes key human development links such as social production, population movement and resource exchange. As cities continue to expand, transportation networks become increasingly complex. A bad traffic network design will affect the quality of urban development and cause regional economic losses. How to plan transportation routes and allocate transportation resources is an important issue in today’s society. This study uses the network reliability method to solve traffic network problems. Network reliability refers to the probability of a successful connection between the source and sink nodes in the network. There are many systems in the world that use network architecture; therefore, network reliability is widely used in various practical problems and cases. In the past, some scholars have used network reliability to solve traffic service network problems. However, the processing of time is not detailed enough to fully express the real user’s time requirements and does not consider that the route traffic will affect the reliability of the entire network. This study improves on past network reliability methods by using a fuzzy system and a time window to construct a network model. Using the concept of fuzzy systems, according to past experience, data or expert predictions to define the degree of flow, time and reliability, can also determine the relationship between these factors. The time window can be adjusted according to the time limit in reality, reaching the limit of the complete expression time. In addition, the network reliability algorithm used in this study is a direct algorithm. Compared with the past indirect algorithms, the computation time is greatly reduced and complex problems can be solved more efficiently.

Degenerate Time-dependent Variational Inequalities with Applications to Traffic Equilibrium Problems

2006 ◽  
Vol 6 (2) ◽  
pp. 117-133 ◽  
Author(s):  
A. Barbagallo
Keyword(s):  
Variational Inequalities ◽  
Equilibrium Problems ◽  
Time Dependent ◽  
Traffic Network ◽  
Traffic Equilibrium ◽  
Monotone Variational Inequalities ◽  
Continuity Result ◽  
Traffic Equilibrium Problems ◽  
Network Equilibrium Problem ◽  
Discretization Procedure

Abstract The aim of this paper is to study the continuity of the solutions to degenerate time-dependent variational inequalities. In order to obtain the continuity of the solution, a previous continuity result for strongly monotone variational inequalities and an appropriate use of the convergence set in Mosco’s sense play an important role. The continuity result allows us to provide a discretization procedure for the calculation of the solution to the variational inequality which expresses the time-dependent traffic network equilibrium problem.

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