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A hybrid shifting bottleneck procedure algorithm for the parallel-machine job-shop scheduling problem

Author

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  • S Q Liu

    (Queensland University of Technology, Brisbane, Australia)

  • E Kozan

    (Queensland University of Technology, Brisbane, Australia)

Abstract

In practice, parallel-machine job-shop scheduling (PMJSS) is very useful in the development of standard modelling approaches and generic solution techniques for many real-world scheduling problems. In this paper, based on the analysis of structural properties in an extended disjunctive graph model, a hybrid shifting bottleneck procedure (HSBP) algorithm combined with Tabu Search (TS) metaheuristic algorithm is developed to deal with the PMJSS problem. The original-version shifting bottleneck procedure (SBP) algorithm for the job-shop scheduling (JSS) has been significantly improved to solve the PMJSS problem with four novelties: (i) a topological-sequence algorithm is proposed to decompose the PMJSS problem in a set of single-machine scheduling (SMS) and/or parallel-machine scheduling subproblems; (ii) a modified Carlier algorithm based on the proposed lemmas and the proofs is developed to solve the SMS subproblem; (iii) the Jackson rule is extended to solve the PMS subproblem; (iv) a TS metaheuristic algorithm is embedded under the framework of SBP to optimise the JSS and PMJSS cases. The computational experiments show that the proposed HSBP is very efficient in solving the JSS and PMJSS problems.

Suggested Citation

  • S Q Liu & E Kozan, 2012. "A hybrid shifting bottleneck procedure algorithm for the parallel-machine job-shop scheduling problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(2), pages 168-182, February.
    • Handle: RePEc:pal:jorsoc:v:63:y:2012:i:2:p:168-182
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    Citations

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    Cited by:

    1. Zhang, Rui & Chang, Pei-Chann & Wu, Cheng, 2013. "A hybrid genetic algorithm for the job shop scheduling problem with practical considerations for manufacturing costs: Investigations motivated by vehicle production," International Journal of Production Economics, Elsevier, vol. 145(1), pages 38-52.
    2. Raja Awais Liaqait & Shermeen Hamid & Salman Sagheer Warsi & Azfar Khalid, 2021. "A Critical Analysis of Job Shop Scheduling in Context of Industry 4.0," Sustainability, MDPI, vol. 13(14), pages 1-19, July.
    3. Fei Luan & Zongyan Cai & Shuqiang Wu & Shi Qiang Liu & Yixin He, 2019. "Optimizing the Low-Carbon Flexible Job Shop Scheduling Problem with Discrete Whale Optimization Algorithm," Mathematics, MDPI, vol. 7(8), pages 1-17, August.
    4. Amin Mousavi & Erhan Kozan & Shi Qiang Liu, 2016. "Comparative analysis of three metaheuristics for short-term open pit block sequencing," Journal of Heuristics, Springer, vol. 22(3), pages 301-329, June.
    5. Yaliang Wang & Xinyu Fan & Chendi Ni & Kanghong Gao & Shousong Jin, 2023. "Collaborative optimization of workshop layout and scheduling," Journal of Scheduling, Springer, vol. 26(1), pages 43-59, February.
    6. Jian Zhang & Guofu Ding & Yisheng Zou & Shengfeng Qin & Jianlin Fu, 2019. "Review of job shop scheduling research and its new perspectives under Industry 4.0," Journal of Intelligent Manufacturing, Springer, vol. 30(4), pages 1809-1830, April.
    7. Burdett, Robert L. & Kozan, Erhan, 2018. "An integrated approach for scheduling health care activities in a hospital," European Journal of Operational Research, Elsevier, vol. 264(2), pages 756-773.

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