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Distributed Optimization for Resource Allocation Problem with Dynamic Event-Triggered Strategy.

Feilong Guo1, Xinrui Chen1, Mengyao Yue1

  • 1College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China.

Entropy (Basel, Switzerland)
|July 29, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces dynamic event-triggered (DET) strategies for resource allocation problems (RAP). The novel consensus-based distributed optimization methods ensure efficient and Zeno-free agent communication.

Keywords:
Zeno behaviorconsensusdistributed optimizationdynamic event-triggeredresource allocation problem

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Area of Science:

  • Control Systems Engineering
  • Distributed Optimization
  • Networked Multi-Agent Systems

Background:

  • Resource allocation problems (RAP) are critical in various systems.
  • Existing distributed optimization methods often require continuous communication, leading to inefficiency.
  • Dynamic event-triggered (DET) strategies offer a promising approach to reduce communication load.

Purpose of the Study:

  • To develop novel DET strategies for solving the resource allocation problem (RAP).
  • To design a consensus-based distributed optimization algorithm tailored for DET strategies.
  • To ensure the proposed strategies are free from Zeno behavior.

Main Methods:

  • A multi-agent consensus approach is utilized to formulate a one-to-all DET strategy.
  • The one-to-all DET strategy is extended to an asynchronous one-to-one DET strategy.
  • Theoretical analysis is performed to prove the absence of Zeno behavior.

Main Results:

  • A novel one-to-all DET strategy for RAP is successfully developed.
  • An extended one-to-one DET strategy enabling asynchronous communication is presented.
  • The proposed DET strategies are mathematically proven to avoid Zeno behavior.

Conclusions:

  • The developed DET strategies effectively solve the resource allocation problem.
  • The consensus-based distributed optimization approach with DET strategies is validated.
  • Numerical simulations confirm the theoretical findings and practical applicability.