# Multiplexing Gain Region of Sectorized Cellular Networks with Mixed Delay Constraints

## TL;DR

This paper analyzes the multiplexing gain region in sectorized cellular networks with mixed delay constraints, considering cooperation and rate limitations, and derives bounds showing how delay constraints impact overall performance.

## Contribution

It introduces a model with mixed delay constraints and cooperation in cellular networks, deriving bounds on the multiplexing gain region and analyzing the impact of delay on performance.

## Key findings

- Small cooperation prelogs or moderate 'fast' gains minimally affect performance.
- Large cooperation prelogs and 'fast' gains lead to a trade-off, decreasing sum multiplexing gain.
- Increasing 'fast' multiplexing gain by Δ reduces total gain by approximately 3Δ.

## Abstract

The sectorized hexagonal model with mixed delay constraints is considered when both neighbouring mobile users and base stations can cooperate over rate-limited links. Each message is a combination of independent "fast" and "slow" bits, where the former are subject to a stringent delay constraint and cannot profit from cooperation. Inner and outer bounds on the multiplexing gain region are derived. The obtained results show that for small cooperation prelogs or moderate "fast" multiplexing gains, the overall performance (sum multiplexing gain) is hardly decreased by the stringent delay constraints on the "fast" bits. For large cooperation prelogs and large "fast" multiplexing gains, increasing the "fast" multiplexing gain by $\Delta$ comes at the expense of decreasing the sum multiplexing gain by $3 \Delta$.