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Scheduling identical parallel machines with tooling constraints

Author

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  • Beezão, Andreza Cristina
  • Cordeau, Jean-François
  • Laporte, Gilbert
  • Yanasse, Horacio Hideki

Abstract

We model and solve the problem of sequencing a set of jobs with specified processing times and tool requirements on a set of identical parallel machines. Decisions concern the assignment of jobs to machines, their sequencing, and the allocation of tools on each machine. The objective function minimizes the makespan. We propose two mathematical formulations of the problem and an adaptive large neighborhood search metaheuristic in which the destroy and repair operators exploit the structures of two well-known and related combinatorial optimization problems, namely the parallel machine scheduling problem and the job sequencing and tool switching problem on a single machine. Computational experiments conducted on two data sets of 1440 instances show that our algorithm produces excellent results and outperforms existing heuristics.

Suggested Citation

  • Beezão, Andreza Cristina & Cordeau, Jean-François & Laporte, Gilbert & Yanasse, Horacio Hideki, 2017. "Scheduling identical parallel machines with tooling constraints," European Journal of Operational Research, Elsevier, vol. 257(3), pages 834-844.
    • Handle: RePEc:eee:ejores:v:257:y:2017:i:3:p:834-844
    DOI: 10.1016/j.ejor.2016.08.008
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    References listed on IDEAS

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    1. Allahverdi, Ali, 2015. "The third comprehensive survey on scheduling problems with setup times/costs," European Journal of Operational Research, Elsevier, vol. 246(2), pages 345-378.
    2. Kathryn E. Stecke, 1983. "Formulation and Solution of Nonlinear Integer Production Planning Problems for Flexible Manufacturing Systems," Management Science, INFORMS, vol. 29(3), pages 273-288, March.
    3. Stefan Ropke & David Pisinger, 2006. "An Adaptive Large Neighborhood Search Heuristic for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 40(4), pages 455-472, November.
    4. Ann E. Gray & Abraham Seidmann & Kathryn E. Stecke, 1993. "A Synthesis of Decision Models for Tool Management in Automated Manufacturing," Management Science, INFORMS, vol. 39(5), pages 549-567, May.
    5. Christopher S. Tang & Eric V. Denardo, 1988. "Models Arising from a Flexible Manufacturing Machine, Part I: Minimization of the Number of Tool Switches," Operations Research, INFORMS, vol. 36(5), pages 767-777, October.
    6. Catanzaro, Daniele & Gouveia, Luis & Labbé, Martine, 2015. "Improved integer linear programming formulations for the job Sequencing and tool Switching Problem," European Journal of Operational Research, Elsevier, vol. 244(3), pages 766-777.
    7. Mohammed Berrada & Kathryn E. Stecke, 1986. "A Branch and Bound Approach for Machine Load Balancing in Flexible Manufacturing Systems," Management Science, INFORMS, vol. 32(10), pages 1316-1335, October.
    8. S. S. Panwalkar & Wafik Iskander, 1977. "A Survey of Scheduling Rules," Operations Research, INFORMS, vol. 25(1), pages 45-61, February.
    9. Muller, Laurent Flindt & Spoorendonk, Simon & Pisinger, David, 2012. "A hybrid adaptive large neighborhood search heuristic for lot-sizing with setup times," European Journal of Operational Research, Elsevier, vol. 218(3), pages 614-623.
    10. Demir, Emrah & Bektaş, Tolga & Laporte, Gilbert, 2012. "An adaptive large neighborhood search heuristic for the Pollution-Routing Problem," European Journal of Operational Research, Elsevier, vol. 223(2), pages 346-359.
    11. Crama, Yves, 1997. "Combinatorial optimization models for production scheduling in automated manufacturing systems," European Journal of Operational Research, Elsevier, vol. 99(1), pages 136-153, May.
    12. Nait Tahar, Djamel & Yalaoui, Farouk & Chu, Chengbin & Amodeo, Lionel, 2006. "A linear programming approach for identical parallel machine scheduling with job splitting and sequence-dependent setup times," International Journal of Production Economics, Elsevier, vol. 99(1-2), pages 63-73, February.
    13. Koulamas, Christos & Kyparisis, George J., 2009. "A modified LPT algorithm for the two uniform parallel machine makespan minimization problem," European Journal of Operational Research, Elsevier, vol. 196(1), pages 61-68, July.
    14. Van Hop, Nguyen & Nagarur, Nagendra N., 2004. "The scheduling problem of PCBs for multiple non-identical parallel machines," European Journal of Operational Research, Elsevier, vol. 158(3), pages 577-594, November.
    15. Mohamed, Zubair M. & Bernardo, John J., 1997. "Tool planning models for flexible manufacturing systems," European Journal of Operational Research, Elsevier, vol. 103(3), pages 497-514, December.
    16. Allahverdi, Ali & Ng, C.T. & Cheng, T.C.E. & Kovalyov, Mikhail Y., 2008. "A survey of scheduling problems with setup times or costs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 985-1032, June.
    17. Gendreau, Michel & Laporte, Gilbert & Guimaraes, Eduardo Morais, 2001. "A divide and merge heuristic for the multiprocessor scheduling problem with sequence dependent setup times," European Journal of Operational Research, Elsevier, vol. 133(1), pages 183-189, August.
    18. Atan, Tankut S. & Pandit, Ram, 1996. "Auxiliary tool allocation in flexible manufacturing systems," European Journal of Operational Research, Elsevier, vol. 89(3), pages 642-659, March.
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    1. Dang, Quang-Vinh & van Diessen, Thijs & Martagan, Tugce & Adan, Ivo, 2021. "A matheuristic for parallel machine scheduling with tool replacements," European Journal of Operational Research, Elsevier, vol. 291(2), pages 640-660.
    2. Calmels, Dorothea, 2022. "An iterated local search procedure for the job sequencing and tool switching problem with non-identical parallel machines," European Journal of Operational Research, Elsevier, vol. 297(1), pages 66-85.
    3. Soares, Leonardo Cabral R. & Carvalho, Marco Antonio M., 2020. "Biased random-key genetic algorithm for scheduling identical parallel machines with tooling constraints," European Journal of Operational Research, Elsevier, vol. 285(3), pages 955-964.
    4. Yantong Li & Jean-François Côté & Leandro Callegari-Coelho & Peng Wu, 2022. "Novel Formulations and Logic-Based Benders Decomposition for the Integrated Parallel Machine Scheduling and Location Problem," INFORMS Journal on Computing, INFORMS, vol. 34(2), pages 1048-1069, March.
    5. Sunil Prayagi & Padma Lalitha Mareddy & Lakshmi Narasimhamu Katta & Sivarami Reddy Narapureddy, 2023. "Optimum Scheduling of a Multi-Machine Flexible Manufacturing System Considering Job and Tool Transfer Times without Tool Delay," Mathematics, MDPI, vol. 11(19), pages 1-37, October.

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