Low-Cost Topology Design for Wireless Ad Hoc Networks with Connectivity Constraint

Abstract

In this paper, we investigate the topology design to balance the network cost and connectivity, which are two important metrics to guide the design of network topology in ad hoc networks. To this end, we focus on how to construct the network topology, which has the minimum network cost subject to a connectivity constraint. A new topology metric for each link, called connectivity-cost-ratio, is defined as the ratio of the connectivity contribution to the link cost. Then, a heuristic algorithm, low-cost topology design with connectivity constraint (LCTDCC), is proposed to switch off the links, which have small value of connectivity-cost-ratio, i.e., large cost but small contributions on connectivity. Some cost functions are also devised for various network applications. Simulation results validate the efficiency of our proposed algorithm.