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An optimization-based heuristic for the robotic cell problem

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  • Carlier, Jacques
  • Haouari, Mohamed
  • Kharbeche, Mohamed
  • Moukrim, Aziz

Abstract

This study investigates an optimization-based heuristic for the robotic cell problem. This problem arises in automated cells and is a complex flow shop problem with a single transportation robot and a blocking constraint. We propose an approximate decomposition algorithm. The proposed approach breaks the problem into two scheduling problems that are solved sequentially: a flow shop problem with additional constraints (blocking and transportation times) and a single machine problem with precedence constraints, time lags, and setup times. For each of these problems, we propose an exact branch-and-bound algorithm. Also, we describe a genetic algorithm that includes, as a mutation operator, a local search procedure. We report the results of a computational study that provides evidence that the proposed optimization-based approach delivers high-quality solutions and consistently outperforms the genetic algorithm. However, the genetic algorithm delivers reasonably good solutions while requiring significantly shorter CPU times.

Suggested Citation

  • Carlier, Jacques & Haouari, Mohamed & Kharbeche, Mohamed & Moukrim, Aziz, 2010. "An optimization-based heuristic for the robotic cell problem," European Journal of Operational Research, Elsevier, vol. 202(3), pages 636-645, May.
    • Handle: RePEc:eee:ejores:v:202:y:2010:i:3:p:636-645
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    References listed on IDEAS

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    1. Débora Ronconi, 2005. "A Branch-and-Bound Algorithm to Minimize the Makespan in a Flowshop with Blocking," Annals of Operations Research, Springer, vol. 138(1), pages 53-65, September.
    2. Ruiz, Rubén & Maroto, Concepciøn & Alcaraz, Javier, 2006. "Two new robust genetic algorithms for the flowshop scheduling problem," Omega, Elsevier, vol. 34(5), pages 461-476, October.
    3. Y. Crama & V. Kats & J. van de Klundert & E. Levner, 2000. "Cyclic scheduling in robotic flowshops," Annals of Operations Research, Springer, vol. 96(1), pages 97-124, November.
    4. S. Thomas McCormick & Michael L. Pinedo & Scott Shenker & Barry Wolf, 1989. "Sequencing in an Assembly Line with Blocking to Minimize Cycle Time," Operations Research, INFORMS, vol. 37(6), pages 925-935, December.
    5. I.N. Kamal Abadi & Nicholas G. Hall & Chelliah Sriskandarajah, 2000. "Minimizing Cycle Time in a Blocking Flowshop," Operations Research, INFORMS, vol. 48(1), pages 177-180, February.
    6. P. C. Gilmore & R. E. Gomory, 1964. "Sequencing a One State-Variable Machine: A Solvable Case of the Traveling Salesman Problem," Operations Research, INFORMS, vol. 12(5), pages 655-679, October.
    7. Nicholas G. Hall & Chelliah Sriskandarajah, 1996. "A Survey of Machine Scheduling Problems with Blocking and No-Wait in Process," Operations Research, INFORMS, vol. 44(3), pages 510-525, June.
    8. Sujit K. Dutta & Andrew A. Cunningham, 1975. "Sequencing Two-Machine Flow-Shops with Finite Intermediate Storage," Management Science, INFORMS, vol. 21(9), pages 989-996, May.
    9. Milind W. Dawande & H. Neil Geismar & Suresh P. Sethi & Chelliah Sriskandarajah, 2007. "Throughput Optimization in Robotic Cells," International Series in Operations Research and Management Science, Springer, number 978-0-387-70988-8, April.
    10. Agnetis, A., 2000. "Scheduling no-wait robotic cells with two and three machines," European Journal of Operational Research, Elsevier, vol. 123(2), pages 303-314, June.
    11. Nicholas G. Hall & Hichem Kamoun & Chelliah Sriskandarajah, 1997. "Scheduling in Robotic Cells: Classification, Two and Three Machine Cells," Operations Research, INFORMS, vol. 45(3), pages 421-439, June.
    12. D P Ronconi & V A Armentano, 2001. "Lower bounding schemes for flowshops with blocking in-process," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(11), pages 1289-1297, November.
    13. Chelliah Sriskandarajah & Nicholas Hall & Hichem Kamoun, 1998. "Scheduling large robotic cells without buffers," Annals of Operations Research, Springer, vol. 76(0), pages 287-321, January.
    14. Tharma Ganesharajah & Nicholas Hall & Chelliah Sriskandarajah, 1998. "Design and operational issues in AGV-served manufacturing systems," Annals of Operations Research, Springer, vol. 76(0), pages 109-154, January.
    15. Grabowski, Jøzef & Pempera, Jaroslaw, 2007. "The permutation flow shop problem with blocking. A tabu search approach," Omega, Elsevier, vol. 35(3), pages 302-311, June.
    16. Mascis, Alessandro & Pacciarelli, Dario, 2002. "Job-shop scheduling with blocking and no-wait constraints," European Journal of Operational Research, Elsevier, vol. 143(3), pages 498-517, December.
    17. Caraffa, Vince & Ianes, Stefano & P. Bagchi, Tapan & Sriskandarajah, Chelliah, 2001. "Minimizing makespan in a blocking flowshop using genetic algorithms," International Journal of Production Economics, Elsevier, vol. 70(2), pages 101-115, March.
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    Cited by:

    1. Christophe Sauvey & Wajdi Trabelsi & Nathalie Sauer, 2020. "Mathematical Model and Evaluation Function for Conflict-Free Warranted Makespan Minimization of Mixed Blocking Constraint Job-Shop Problems," Mathematics, MDPI, vol. 8(1), pages 1-17, January.
    2. Mohammad Reza Komari Alaei & Mehmet Soysal & Atabak Elmi & Audrius Banaitis & Nerija Banaitiene & Reza Rostamzadeh & Shima Javanmard, 2021. "A Bender’s Algorithm of Decomposition Used for the Parallel Machine Problem of Robotic Cell," Mathematics, MDPI, vol. 9(15), pages 1-15, July.
    3. Sobhani, A. & Wahab, M.I.M. & Neumann, W.P., 2017. "Incorporating human factors-related performance variation in optimizing a serial system," European Journal of Operational Research, Elsevier, vol. 257(1), pages 69-83.
    4. Mehdi Mrad & Anis Gharbi & Mohamed Haouari & Mohamed Kharbeche, 2016. "An optimization-based heuristic for the machine reassignment problem," Annals of Operations Research, Springer, vol. 242(1), pages 115-132, July.
    5. Fatemi-Anaraki, Soroush & Tavakkoli-Moghaddam, Reza & Foumani, Mehdi & Vahedi-Nouri, Behdin, 2023. "Scheduling of Multi-Robot Job Shop Systems in Dynamic Environments: Mixed-Integer Linear Programming and Constraint Programming Approaches," Omega, Elsevier, vol. 115(C).
    6. Xin Li & Richard Y. K. Fung, 2016. "Optimal K-unit cycle scheduling of two-cluster tools with residency constraints and general robot moving times," Journal of Scheduling, Springer, vol. 19(2), pages 165-176, April.
    7. Hosseini, Amir & Otto, Alena & Pesch, Erwin, 2024. "Scheduling in manufacturing with transportation: Classification and solution techniques," European Journal of Operational Research, Elsevier, vol. 315(3), pages 821-843.

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