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Joint Optimization of Radio and Computational Resources for Multicell Mobile-Edge Computing (1412.8416v1)

Published 29 Dec 2014 in cs.NI, cs.IT, and math.IT

Abstract: Migrating computational intensive tasks from mobile devices to more resourceful cloud servers is a promising technique to increase the computational capacity of mobile devices while saving their battery energy. In this paper, we consider a MIMO multicell system where multiple mobile users (MUs) ask for computation offloading to a common cloud server. We formulate the offloading problem as the joint optimization of the radio resources-the transmit precoding matrices of the MUs-and the computational resources-the CPU cycles/second assigned by the cloud to each MU-in order to minimize the overall users' energy consumption, while meeting latency constraints. The resulting optimization problem is nonconvex (in the objective function and constraints). Nevertheless, in the single-user case, we are able to express the global optimal solution in closed form. In the more challenging multiuser scenario, we propose an iterative algorithm, based on a novel successive convex approximation technique, converging to a local optimal solution of the original nonconvex problem. Then, we reformulate the algorithm in a distributed and parallel implementation across the radio access points, requiring only a limited coordination/signaling with the cloud. Numerical results show that the proposed schemes outperform disjoint optimization algorithms.

Citations (825)

Summary

  • The paper derives a closed-form optimal solution for the single-user scenario by converting the nonconvex problem into a convex one.
  • It introduces an iterative Successive Convex Approximation (SCA) algorithm for multiuser cases to achieve a local optimum for joint resource optimization.
  • The approach supports distributed implementation across radio access points, significantly enhancing energy efficiency and latency management in MEC systems.

Joint Optimization of Radio and Computational Resources for Multicell Mobile-Edge Computing

Sardellitti, Scutari, and Barbarossa present a comprehensive paper on the joint optimization problem in multicell Mobile-Edge Computing (MEC) systems, where the goal is to minimize the energy consumption of mobile users (MUs) while satisfying latency constraints. This work is pivotal in advancing our understanding of MEC's potential to augment the computational capabilities of mobile devices by offloading tasks to cloud servers.

Problem Formulation and Objectives

The authors focus on a MIMO multicell system where multiple MUs request computation offloading to a central cloud server. The core problem is formulated as a joint optimization of radio and computational resources. Specifically:

  • Radio Resources: Transmit precoding matrices of the MUs.
  • Computational Resources: CPU cycles per second assigned by the cloud to each MU.

The objective is to minimize the overall energy consumption of MUs while ensuring latency constraints are met. This optimization problem is inherently nonconvex due to the nonlinearity in both the objective function and the constraints.

Key Contributions

  1. Single-User Case: For scenarios with a single MU, the authors derive the global optimal solution in closed form. They show that the problem can be equivalently transformed into a convex problem, which admits a closed-form solution.
  2. Multiuser Scenario: In scenarios with multiple users, they propose an iterative algorithm based on the Successive Convex Approximation (SCA) technique, providing a pathway to reach a local optimum of the original nonconvex problem.
  3. Distributed Implementation: The authors extend their approach to allow for distributed and parallel execution across radio access points with limited coordination signaling with the cloud.

Numerical Results and Analysis

The numerical results underline the efficiency of the proposed joint optimization strategy over traditional disjoint optimization methods. For applications with high computational loads and limited data exchange requirements, the joint optimization provides significant energy savings. The analysis also highlights how increasing the number of receive antennas can reduce energy consumption.

Implications and Future Directions

Practical Implications

The practical implications of this paper are multifaceted:

  • Energy Efficiency: By optimizing both radio and computational resources, MEC systems can significantly reduce the energy consumption of MUs, making intensive applications feasible even on energy-constrained mobile devices.
  • Latency Management: Ensuring that latency constraints are met is critical for real-time applications. The proposed strategies effectively balance computational and transmission delays.

Theoretical Implications

From a theoretical standpoint, the paper advances the optimization methodologies in the field of MEC by addressing the nonconvex nature of the joint resource allocation problem and proposing viable solutions.

Speculations on Future Developments

Future research may build upon this foundational work in several ways:

  • Enhanced Interference Management: Advanced techniques could be developed to further mitigate inter-cell interference in denser deployments.
  • Scalability: The methods could be refined to scale more efficiently with a higher number of cells and users.
  • Adaptive Algorithms: Learning-based adaptive algorithms could be employed to dynamically adjust to changing network conditions and user demands.
  • Integration with 5G Networks: As 5G networks proliferate, integrating such optimization techniques with 5G's architectural features like network slicing and ultra-reliable low latency communication (URLLC) could provide more robust solutions.

Conclusion

This paper by Sardellitti, Scutari, and Barbarossa presents a detailed and innovative approach to optimizing resources in multicell MEC systems. By addressing both theoretical challenges and practical implications, this work paves the way for more energy-efficient and latency-constrained computation offloading solutions in the burgeoning field of mobile-edge computing. The combination of closed-form solutions for simple scenarios and iterative algorithms for complex ones provides a robust toolkit for researchers and practitioners aiming to deploy efficient MEC systems.