Method SYNERGY of Distributed Optimization and Coordinated Control in Fog/Edge Telecommunication Environments

Abstract

The article presents the development of the SYNERGY (System-wide Energy and Risk Governance) method, designed for distributed optimization and coordinated control in Fog/Edge telecommunication environments. The purpose of developing SYNERGY is to ensure global stability and energy balance among independent coordinators operating under dynamic conditions with partial failures and stochastic disturbances. The scientific problem addressed involves achieving collective minimization of a global loss function under local resource constraints while preserving the autonomy of each node group. The proposed method is based on an analytical distributed optimization framework that combines the Alternating Direction Method of Multipliers with the Lagrange multiplier mechanism to achieve consensus among coordinators and harmonize decision-making processes in real time. The method’s architecture implements multi-level interactions among coordinators, where local self-organization processes are synchronized through analytical optimization modules, and the upper level formulates control policies based on accumulated statistical data. The SYNERGY algorithm has a cyclic structure that includes stages of parameter exchange, local state updating, convergence verification, and policy correction policy(t). Such a structure ensures continuity of control even under communication channel degradation, maintaining coordination consistency among all coordinators. Experimental modeling conducted in a distributed Fog/Edge environment confirmed the method’s efficiency and robustness. The results demonstrated that the convergence rate of the global loss function increased by 40 – 45%, the residual error decreased by more than 50%, and the average energy consumption dropped by 12 – 15%, reaching up to 20% under highly volatile channel conditions. Packet loss resilience improved by 18 – 22%, while the use of policy update cycles accelerated stabilization of the consensus state by 25 – 30%. The obtained results prove that the SYNERGY method is an effective tool for enhancing resilience, energy balance, and controllability of distributed Fog/Edge telecommunication environments operating under dynamic conditions.