# Throughput-Optimal Broadcast in Wireless Networks with Point-to-Multipoint Transmissions

## TL;DR

This paper introduces a throughput-optimal broadcast policy for wireless networks with point-to-multi-point channels, transforming the network into a simplified model to achieve capacity efficiently.

## Contribution

It presents a novel dynamic policy that attains the broadcast capacity by transforming the network into a relaxed single-hop model and proves its throughput optimality.

## Key findings

- Policy achieves full broadcast capacity with low delay
- Transforming the network simplifies capacity analysis
- NP-completeness of finite-horizon broadcast problem

## Abstract

We consider the problem of efficient packet dissemination in wireless networks with point-to-multi-point wireless broadcast channels. We propose a dynamic policy, which achieves the broadcast capacity of the network. This policy is obtained by first transforming the original multi-hop network into a precedence-relaxed virtual single-hop network and then finding an optimal broadcast policy for the relaxed network. The resulting policy is shown to be throughput-optimal for the original wireless network using a sample-path argument. We also prove the NP-completeness of the finite-horizon broadcast problem, which is in contrast with the polynomial time solvability of the problem with point-to-point channels. Illustrative simulation results demonstrate the efficacy of the proposed broadcast policy in achieving the full broadcast capacity with low delay.