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A hybrid quantum-inspired genetic algorithm for multiobjective flow shop scheduling.

Bin-Bin Li1, Ling Wang

  • 1Department of Automation, Tsinghua University, Beijing 100084, China. binbinlee@mails.tsinghua.edu.cn

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
|June 7, 2007
PubMed
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A novel hybrid quantum-inspired genetic algorithm (HQGA) effectively solves the multiobjective flow shop scheduling problem (FSSP). This approach combines quantum computing principles with genetic algorithms for improved optimization in complex scheduling tasks.

Area of Science:

  • Operations Research
  • Computer Science
  • Quantum Computing

Background:

  • The multiobjective flow shop scheduling problem (FSSP) is a complex, NP-hard combinatorial optimization challenge with significant engineering applications.
  • Existing methods often struggle with the scale and complexity of multiobjective FSSP, necessitating advanced algorithmic approaches.

Purpose of the Study:

  • To introduce a novel hybrid quantum-inspired genetic algorithm (HQGA) designed to address the multiobjective flow shop scheduling problem.
  • To enhance the exploration and exploitation capabilities for finding optimal or near-optimal scheduling solutions.

Main Methods:

  • A hybrid approach integrating a quantum-inspired genetic algorithm (QGA) using Q-bit representation and quantum gate operations for exploration.
  • Incorporation of a permutation-based genetic algorithm (PGA) for direct scheduling space exploration and exploitation.

Related Experiment Videos

  • Utilization of a randomly weighted linear-sum function for QGA and nondominated sorting with Pareto front classification for PGA to handle multiobjective evaluation.
  • Development of two population trimming techniques to maintain population diversity.
  • Main Results:

    • The proposed HQGA demonstrated effectiveness in solving multiobjective FSSPs.
    • Simulation results and performance metric comparisons validated the algorithm's capabilities.
    • The hybrid strategy successfully balanced exploration and exploitation for superior scheduling solutions.

    Conclusions:

    • The hybrid quantum-inspired genetic algorithm (HQGA) presents a powerful and effective method for tackling the multiobjective flow shop scheduling problem.
    • The integration of quantum-inspired mechanisms and traditional genetic algorithms offers significant advantages in optimization performance and solution quality.