Abstract
As an emerging algorithm, harmony search (HS) algorithm has been applied into the continuous optimization field and shows amazing performance. The paper aims to study its performance when solving discrete optimization problems. Since the flexible job shop scheduling problem (FJSP) is a typical discrete optimization problem, we propose a discrete harmony search (DHS) algorithm to solve the FJSP. Constructing new solutions by dealing with vector components separately in original HS is inappropriate to combinatorial optimization problems, hence DHS generates new solutions by dealing with solution as a whole. Based on DHS this paper proposes an improved discrete harmony search (IDHS) algorithm. A learning process is added when generating a new solution in IDHS. The candidate solution from harmony memory has the possibility to be adjusted by learning from the current best solution and less possibility not to participate in the learning process, which can help accelerate convergence speed and avoid premature. Computational results show that both DHS and IDHS can search the optimal solution for small and medium scale instances with limited time, but IDHS is more effective in solving large-scale instances.
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Wu, X., Li, J. (2018). Discrete Harmony Search Algorithm for Flexible Job-Shop Scheduling Problems. In: Qiao, J., et al. Bio-inspired Computing: Theories and Applications. BIC-TA 2018. Communications in Computer and Information Science, vol 952. Springer, Singapore. https://doi.org/10.1007/978-981-13-2829-9_4
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DOI: https://doi.org/10.1007/978-981-13-2829-9_4
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