Title
Classifying the Heterogeneous Multi-Robot online search problem into quadratic time competitive complexity class
Abstract
We explore the problem where a group of robots with different velocities search for a target in an unbounded unknown environment. The target position is un known, hence, an online search algorithm is developed. The H-MRSTM algorithm (Heterogeneous Multi-Robot Search Time Multiplication), launches a group of n robots from a common starting location to search for the target. The robots are assigned to search inside a series of concentric discs with increasing radii. Each robot is assigned to search inside a disc and when completing the search inside this disc without finding the target, the robot is assigned to search in the next unoccupied disc. We prove that every algorithm that solves this search problem must have at least a quadratic time competitive complexity and prove that the H-MRSTM algorithm's complexity is also quadratic. Hence, we obtain both an upper and lower bound on the time competitive complexity of the search problem. Consequently, H-MRSTM is proved to be optimal. Simulations in various environments show that the average case performance of H-MRSTM is superior to that of homogeneous multi-robot and single robot algorithms. In depth simulation analyses evaluated the effect of several other parameters such as the initial disc search time, the distribution of the velocities, the number of robots and the position of the target.
Year
DOI
Venue
2011
10.1109/ICRA.2011.5980514
ICRA
Keywords
Field
DocType
concentric discs,h-mrstm algorithm,heterogeneous multirobot online search problem,mobile robots,multi-robot systems,quadratic time competitive complexity,search problems,target position,computational complexity,object detection,heterogeneous multirobot search time multiplication,position control,upper bound,upper and lower bounds,robot kinematics,search algorithm,complexity class
Mathematical optimization,Search algorithm,Guided Local Search,Interpolation search,Beam search,Jump search,Bidirectional search,Mathematics,Best-first search,Iterative deepening depth-first search
Conference
Volume
Issue
ISSN
2011
1
1050-4729
ISBN
Citations 
PageRank 
978-1-61284-386-5
0
0.34
References 
Authors
12
4
Name
Order
Citations
PageRank
Shahar Sarid1192.56
Amir Shapiro210719.47
Elon Rimon31128157.34
Yael Edan451453.29