Cooperative exploration path planning for mobile robots by reaction-diffusion equation on graph

2003 ◽  
Author(s):  
C. Trevai ◽  
Y. Fukazawa ◽  
H. Yuasa ◽  
J. Ota ◽  
T. Arai ◽  
...  
Keyword(s):  
Path Planning ◽  
Diffusion Equation ◽  
Mobile Robots ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Cooperative Exploration

Exploration path generation for multiple mobile robots using reaction-diffusion equation on a graph

2004 ◽  
Vol 11 (3) ◽  
pp. 195-212 ◽  
Author(s):  
Chomchana Trevai ◽  
Yusuke Fukazawa ◽  
Hideo Yuasa ◽  
Jun Ota ◽  
Tamio Arai ◽  
...  
Keyword(s):  
Diffusion Equation ◽  
Mobile Robots ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Path Generation ◽  
Multiple Mobile Robots

Real-Time Cooperative Exploration by Reaction-Diffusion Equation on a Graph

2002 ◽  
pp. 383-392 ◽  
Author(s):  
Chomchana Trevai ◽  
Keisuke Ichikawa ◽  
Yusuke Fukazawa ◽  
Hideo Yuasa ◽  
Jun Ota ◽  
...  
Keyword(s):  
Diffusion Equation ◽  
Real Time ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Cooperative Exploration

Multiple Mobile Robot Exploration and Patrol Strategy Using a Self-Organizing Planner Based on a Reaction-Diffusion Equation on a Graph

2008 ◽  
Vol 20 (1) ◽  
pp. 24-37 ◽  
Author(s):  
Chomchana Trevai ◽  
◽  
Norisuke Fujii ◽  
Jun Ota ◽  
Tamio Arai
Keyword(s):  
Diffusion Equation ◽  
Mobile Robot ◽  
Mobile Robots ◽  
Reaction Diffusion ◽  
Environmental Information ◽  
Search And Rescue ◽  
Drastic Change ◽  
Reaction Diffusion Equation ◽  
Map Building ◽  
Multiple Mobile Robots

In this paper, we propose a search and surveillance with mobile robots to collect information while minimizing repeated coverage to maximize efficiency. The problem of search and surveillance is defined as one having a mobile robot or covering a working area with sensor footprints. The problem is applicable to tasks such as floor cleaning, map building, surveillance, security patrols, and search and rescue operations. We use a reaction-diffusion equation on a graph (RDEG), we make and remake plans online base on incoming environmental information. The strategy is applicable to patrolling tasks after an environment has been completely explorated. Tasks are allocated to multiple mobile robots, among which a temporary leader, i.e., the robot detecting a drastic change in the environment, plans a strategy for other mobile robots on the team. Sensing and positioning data for each robot is broadcast and shared among robots. Simulation in different scenarios using one to three robots demonstrated the feasibility of increasing the number of robots on a team.

scholarly journals Numerical Analysis WSGD Scheme for One- and Two-Dimensional Distributed Order Fractional Reaction–Diffusion Equation with Collocation Method via Fractional B-Spline

2021 ◽  
Vol 7 (2) ◽  
Author(s):  
Mohammad Ramezani
Keyword(s):  
Diffusion Equation ◽  
Collocation Method ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Two Dimensional ◽  
Algebraic Equations ◽  
B Spline ◽  
Computational Work ◽  
Distributed Order ◽  
Fractional Reaction

AbstractThe main propose of this paper is presenting an efficient numerical scheme to solve WSGD scheme for one- and two-dimensional distributed order fractional reaction–diffusion equation. The proposed method is based on fractional B-spline basics in collocation method which involve Caputo-type fractional derivatives for $$0 < \alpha < 1$$ 0 < α < 1 . The most significant privilege of proposed method is efficient and quite accurate and it requires relatively less computational work. The solution of consideration problem is transmute to the solution of the linear system of algebraic equations which can be solved by a suitable numerical method. The finally, several numerical WSGD Scheme for one- and two-dimensional distributed order fractional reaction–diffusion equation.

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