## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- AIMS Mathematics
- Conference Publications
- Electronic Research Announcements
- Mathematics in Engineering

### Open Access Journals

JIMO

This paper discusses the optimal traffic control signal setting
for an $M \times N$ rectangular road traffic network. By
introducing the concepts of synchronization rate and
non-synchronization degree, a mathematical model is constructed
and an optimization problem is posed. Then, a new iterative
algorithm is developed to solve this optimal traffic control
signal setting problem. Convergence properties for this iterative
algorithm are established. Finally, a numerical example is solved
to illustrate the effectiveness of the method.

keywords:
optimization.
,
intersection
,
traffic signal setting
,
synchronization
,
Urban traffic network

JIMO

It is with great pleasure that we bring to you the inaugural issue of the Journal of Industrial and Management Optimization (

*JIMO*), published by the American Institute of Mathematical Sciences.
MCRF

Traditionally, the time domains that are widely used in mathematical
descriptions are limited to real numbers for the case of
continuous-time optimal control problems or to integers for the case
of discrete-time optimal control problems. In this paper, based on a
family of "needle variations", we derive maximum principle for
optimal control problem on time scales. The results not only unify
the theory of continuous and discrete optimal control problems but
also conclude problems involving time domains in partly continuous
and partly discrete ingredients. A simple optimal control problem on
time scales is discussed in detail. Meanwhile, the results also
unify the theory of some hybrid systems, for example, impulsive
systems.

## Year of publication

## Related Authors

## Related Keywords

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