Journal of System Simulation ›› 2015, Vol. 27 ›› Issue (12): 2948-2957.

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Improved Quantum-behaved Particle Swarm Optimization for Solving Multi-objective Flexible Job-Shop Scheduling Problems

Tian Na1,2, Ji Zhicheng2   

  1. 1. Institute of Educational Informatization, Jiangnan University, Wuxi 214122, China;
    2. Institute of Electrical Automation, Jiangnan University, Wuxi 214122, China
  • Received:2015-03-30 Revised:2015-09-06 Online:2015-12-08 Published:2020-07-30

Abstract: Due to the complexity of flexible job-shop scheduling problem (FJSP), it is still the hot topic for research. FJSP was given deep insight into with three objectives to be minimized simultaneously: makespan, maximal machine workload and total workload. Quantum-behaved particle swarm optimization (QPSO) with different coefficient selection methods was compared. The benchmark function tests show that QPSO with adaptive coefficient outperforms other selection methods in unimodal functions, while QPSO with cosine coefficient performs better in multi-modal functions. Therefore, QPSO with cosine decreasing coefficient is adopted to solve the multi-objective FJSP, which is a complex multi-modal optimization problem. Simulation results of four representative FJSP examples indicate the effectiveness and efficiency of the proposed method.

Key words: quantum-behaved particle swarm optimization, adaptive coefficient, cosine coefficient, multi-objective problem flexible job-shop scheduling problems, critical path

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