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Summary

This study introduces a formal model for multi-robot task allocation, addressing physical interference. New algorithms achieve over 80% of optimal solutions with reduced execution time.

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Area of Science:

  • Robotics
  • Artificial Intelligence
  • Operations Research

Background:

  • Multi-robot task allocation is crucial for system efficiency, especially under deadlines.
  • Physical interference between robots accessing shared points degrades performance.
  • Existing allocation algorithms do not formally model interference effects.

Purpose of the Study:

  • To formally describe multi-robot task allocation incorporating physical interference.
  • To analyze the complexity of interference-aware task allocation.
  • To determine conditions for solving the allocation problem using integer linear programming.

Main Methods:

  • Development of a formal model for multi-robot task allocation with interference.
  • Analysis of the computational complexity of the proposed model.
  • Formulation of conditions for optimal solution via integer linear programming.
  • Comparison of new algorithms against prior methods and optimal solutions.

Main Results:

  • The first formal description of multi-robot task allocation with a physical interference model.
  • Identification of conditions enabling optimal solutions through integer linear programming.
  • New task allocation algorithms achieve >80% of the median optimal solution.
  • Significant reduction in execution time compared to previous algorithms.

Conclusions:

  • The developed interference model provides a foundation for more realistic multi-robot task allocation.
  • Integer linear programming offers an efficient path to optimal solutions under specific conditions.
  • The proposed algorithms balance solution quality and computational efficiency effectively.