Deterministic Dispersion of Mobile Robots in Dynamic Rings
Ankush Agarwalla, John E. Augustine, William K. Moses, Madhav Sankar K., Arvind Krishna Sridhar · 2018
In this work, we study the problem of dispersion of mobile robots on dynamic rings. The problem of dispersion of n robots on an n node graph, introduced by Augustine and Moses Jr. [2], requires robots to coordinate with each other and reach a configuration where exactly one robot is present on each node. This problem has real world applications and applies whenever we want to minimize the total cost of n agents sharing n resources, located at various places, subject to the constraint that cost of an agent moving to a different resource is comparatively much smaller than cost of multiple agents sharing a resource (e.g. smart electric cars sharing recharge stations). Study of this problem also provides indirect benefits to the studies of scattering on graphs, exploration by mobile robots, and load balancing on graphs.