Scheduling blocking flowshops with setup times via constraint guided and accelerated local search

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Author(s)
Newton, MA Hakim
Riahi, Vahid
Su, Kaile
Sattar, Abdul
Year published
2019
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Permutation flowshop scheduling problem (PFSP) is a classical NP-Hard combinatorial optimisation problem. Existing PFSP variants capture different realistic scenarios, but significant modelling gaps still remain with respect to many real-world industrial applications. Inspired by the cider industry, in this paper, we propose a new PFSP variant that generalises over simultaneous use of several types of blocking constraints and various settings of sequence-dependent setup times. We also present a computational model for makespan minimisation of the new variant and show that solving this variant remains NP-Hard. For this PFSP ...
View more >Permutation flowshop scheduling problem (PFSP) is a classical NP-Hard combinatorial optimisation problem. Existing PFSP variants capture different realistic scenarios, but significant modelling gaps still remain with respect to many real-world industrial applications. Inspired by the cider industry, in this paper, we propose a new PFSP variant that generalises over simultaneous use of several types of blocking constraints and various settings of sequence-dependent setup times. We also present a computational model for makespan minimisation of the new variant and show that solving this variant remains NP-Hard. For this PFSP variant, we then present an acceleration method to compute makespan efficiently and thus evaluate the neighbourhoods generated by insertion operators. We develop a new constructive heuristic taking both blocking constraints and setup times into account. We also develop a new local search algorithm that uses a constraint guided intensification method and a random-path guided diversification method. Our comprehensive experimental results on a set of benchmark instances demonstrate that our proposed algorithms significantly outperform several state-of-the-art adapted algorithms.
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View more >Permutation flowshop scheduling problem (PFSP) is a classical NP-Hard combinatorial optimisation problem. Existing PFSP variants capture different realistic scenarios, but significant modelling gaps still remain with respect to many real-world industrial applications. Inspired by the cider industry, in this paper, we propose a new PFSP variant that generalises over simultaneous use of several types of blocking constraints and various settings of sequence-dependent setup times. We also present a computational model for makespan minimisation of the new variant and show that solving this variant remains NP-Hard. For this PFSP variant, we then present an acceleration method to compute makespan efficiently and thus evaluate the neighbourhoods generated by insertion operators. We develop a new constructive heuristic taking both blocking constraints and setup times into account. We also develop a new local search algorithm that uses a constraint guided intensification method and a random-path guided diversification method. Our comprehensive experimental results on a set of benchmark instances demonstrate that our proposed algorithms significantly outperform several state-of-the-art adapted algorithms.
View less >
Journal Title
COMPUTERS & OPERATIONS RESEARCH
Volume
109
Copyright Statement
© 2019 Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence, which permits unrestricted, non-commercial use, distribution and reproduction in any medium, providing that the work is properly cited.
Subject
Applied mathematics
Numerical and computational mathematics