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A hybrid evolution strategies algorithm for non-permutation flow shop scheduling problems.

Bilal Khurshid1, Shahid Maqsood2, Muhammad Salman Habib3

  • 1Department of Industrial Engineering, University of Engineering and Technology, Peshawar, 25000, Pakistan.

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|April 8, 2025
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Summary
This summary is machine-generated.

This study introduces Hybrid Evolution Strategies (HES) to solve Non-Permutation Flow Shop Scheduling Problems (NPFSSP), significantly improving solution quality and efficiency. HES effectively minimizes makespan using a novel combination of heuristics and search techniques.

Keywords:
Hybrid evolution strategiesLocal search techniqueMakespanNon-permutation flow shop scheduling problems

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Area of Science:

  • Operations Research
  • Computational Intelligence
  • Manufacturing Systems

Background:

  • Flow shop scheduling is a critical area in operations research, with significant research in the last decade.
  • Non-Permutation Flow Shop Scheduling Problems (NPFSSP) remain under-researched despite their practical relevance.
  • Minimizing makespan is a key objective in flow shop scheduling to enhance production efficiency.

Purpose of the Study:

  • To propose a novel Hybrid Evolution Strategies (HES) algorithm for solving Non-Permutation Flow Shop Scheduling Problems (NPFSSP).
  • To enhance the performance of evolutionary algorithms by integrating heuristic and local search techniques for makespan minimization.
  • To address the limitations of existing research by focusing on the NPFSSP domain.

Main Methods:

  • A Hybrid Evolution Strategies (HES) approach combining Nawaz, Enscore, and Ham (NEH) Heuristic, Improved Evolution Strategies (IES), and a Local Search Technique.
  • NEH Heuristic generates an initial permutation sequence, which serves as a foundation for the IES.
  • IES employs a two-stage improvement process: first, refining the permutation sequence, and second, optimizing the non-permutation sequence on the latter 60% of machines using Quad swap mutation and recombination.

Main Results:

  • The proposed HES algorithm demonstrated superior performance in solution quality compared to existing methods.
  • HES achieved significant improvements in computational efficiency, reducing the time required for scheduling.
  • The algorithm proved robust, consistently delivering high-quality solutions across various problem instances.

Conclusions:

  • The Hybrid Evolution Strategies (HES) algorithm is an effective method for solving Non-Permutation Flow Shop Scheduling Problems (NPFSSP).
  • The integration of NEH, IES, and Local Search provides a powerful framework for makespan minimization.
  • HES offers a promising direction for future research in advanced scheduling problems.