Delay Characterization of Mobile Edge Computing for 6G Time-Sensitive Services

TL;DR

This paper analyzes the random delay characteristics in mobile edge computing for 6G time-sensitive services, considering the coupled transmission and computation processes with limited buffer, providing estimation methods for delay metrics.

Contribution

It introduces a novel analysis of coupled transmission and computation delays in MEC with limited buffers using matrix-geometric methods, filling a gap in existing research.

Findings

Delay bound violation probability quantified

Coupling effects between transmission and computation delays revealed

Estimation methods validated by simulations

Abstract

Time-sensitive services (TSSs) have been widely envisioned for future sixth generation (6G) wireless communication networks. Due to its inherent low-latency advantage, mobile edge computing (MEC) will be an indispensable enabler for TSSs. The random characteristics of the delay experienced by users are key metrics reflecting the quality of service (QoS) of TSSs. Most existing studies on MEC have focused on the average delay. Only a few research efforts have been devoted to other random delay characteristics, such as the delay bound violation probability and the probability distribution of the delay, by decoupling the transmission and computation processes of MEC. However, if these two processes could not be decoupled, the coupling will bring new challenges to analyzing the random delay characteristics. In this paper, an MEC system with a limited computation buffer at the edge server is considered. In this system, the transmission process and computation process form a feedback loop and could not be decoupled. We formulate a discrete-time two-stage tandem queueing system. Then, by using the matrix-geometric method, we obtain the estimation methods for the random delay characteristics, including the probability distribution of the delay, the delay bound violation probability, the average delay and the delay standard deviation. The estimation methods are verified by simulations. The random delay characteristics are analyzed by numerical experiments, which unveil the coupling relationship between the transmission process and computation process for MEC. These results will largely facilitate elaborate allocation of communication and computation resources to improve the QoS of TSSs.