Linear constraints for ensuring k -hop connectivity using Mixed-Integer
Programming for Multi-Agent Systems
Abstract
This note concerns the problem of k-hop connectivity in a network
of mobile agents, which is achieved if any pair of agents can
communicate with each other through a link of k-1 or fewer
intermediate nodes. We propose linear constraints involving binary
optimization variables to ensure k-hop connectivity. Such
constraints are then integrated into a Mixed-Integer Linear Programming
(MILP) trajectory planning model. Simulation results illustrate the
application of the proposed method and the effect of varying k in
the context of a mission involving the visitation of multiple targets.