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Scatter Search and Path-Relinking: Fundamentals, Advances, and Applications

In: Handbook of Metaheuristics

Author

Listed:
  • Mauricio G.C. Resende

    (AT&T Labs Research)

  • Celso C. Ribeiro

    (Universidade Federal Fluminense)

  • Fred Glover

    (University of Colorado and OptTek Systems, Inc.)

  • Rafael Martí

    (Universidad de Valencia)

Abstract

Scatter search is an evolutionary metaheuristic that explores solution spaces by evolving a set of reference points, operating on a small set of solutions while making only limited use of randomization. We give a comprehensive description of the elements and methods that make up its template, including the most recent elements incorporated in successful applications in both global and combinatorial optimization. Path-relinking is an intensification strategy to explore trajectories connecting elite solutions obtained by heuristic methods such as scatter search, tabu search, and GRASP. We describe its mechanics, implementation issues, randomization, the use of pools of high-quality solutions to hybridize path-relinking with other heuristic methods, and evolutionary path-relinking. We also describe the hybridization of path-relinking with genetic algorithms to implement a progressive crossover operator. Some successful applications of scatter search and of path-relinking are also reported.

Suggested Citation

  • Mauricio G.C. Resende & Celso C. Ribeiro & Fred Glover & Rafael Martí, 2010. "Scatter Search and Path-Relinking: Fundamentals, Advances, and Applications," International Series in Operations Research & Management Science, in: Michel Gendreau & Jean-Yves Potvin (ed.), Handbook of Metaheuristics, chapter 0, pages 87-107, Springer.
    • Handle: RePEc:spr:isochp:978-1-4419-1665-5_4
    DOI: 10.1007/978-1-4419-1665-5_4
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    Citations

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    Cited by:

    1. Fernando Stefanello & Vaneet Aggarwal & Luciana S. Buriol & Mauricio G. C. Resende, 2019. "Hybrid algorithms for placement of virtual machines across geo-separated data centers," Journal of Combinatorial Optimization, Springer, vol. 38(3), pages 748-793, October.
    2. Ivorra, Benjamin & Mohammadi, Bijan & Manuel Ramos, Angel, 2015. "A multi-layer line search method to improve the initialization of optimization algorithms," European Journal of Operational Research, Elsevier, vol. 247(3), pages 711-720.
    3. Lü, Zhipeng & Glover, Fred & Hao, Jin-Kao, 2010. "A hybrid metaheuristic approach to solving the UBQP problem," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1254-1262, December.
    4. J. Terán-Villanueva & Héctor Fraire Huacuja & Juan Carpio Valadez & Rodolfo Pazos Rangel & Héctor Puga Soberanes & José Martínez Flores, 2015. "A heterogeneous cellular processing algorithm for minimizing the power consumption in wireless communications systems," Computational Optimization and Applications, Springer, vol. 62(3), pages 787-814, December.
    5. Qinghua Wu & Yang Wang & Fred Glover, 2020. "Advanced Tabu Search Algorithms for Bipartite Boolean Quadratic Programs Guided by Strategic Oscillation and Path Relinking," INFORMS Journal on Computing, INFORMS, vol. 32(1), pages 74-89, January.
    6. Gambardella, L.M. & Montemanni, R. & Weyland, D., 2012. "Coupling ant colony systems with strong local searches," European Journal of Operational Research, Elsevier, vol. 220(3), pages 831-843.
    7. Benjamin C. Shelbourne & Maria Battarra & Chris N. Potts, 2017. "The Vehicle Routing Problem with Release and Due Dates," INFORMS Journal on Computing, INFORMS, vol. 29(4), pages 705-723, November.
    8. Leyman, Pieter & Vanhoucke, Mario, 2017. "Capital- and resource-constrained project scheduling with net present value optimization," European Journal of Operational Research, Elsevier, vol. 256(3), pages 757-776.
    9. Villegas, Juan G. & Prins, Christian & Prodhon, Caroline & Medaglia, Andrés L. & Velasco, Nubia, 2013. "A matheuristic for the truck and trailer routing problem," European Journal of Operational Research, Elsevier, vol. 230(2), pages 231-244.
    10. Fred Glover & Gary Kochenberger & Moses Ma & Yu Du, 2022. "Quantum Bridge Analytics II: QUBO-Plus, network optimization and combinatorial chaining for asset exchange," Annals of Operations Research, Springer, vol. 314(1), pages 185-212, July.
    11. Ghaith Jaradat & Masri Ayob & Zulkifli Ahmad, 2014. "On the performance of Scatter Search for post-enrolment course timetabling problems," Journal of Combinatorial Optimization, Springer, vol. 27(3), pages 417-439, April.
    12. Benavides, Alexander J. & Ritt, Marcus & Miralles, Cristóbal, 2014. "Flow shop scheduling with heterogeneous workers," European Journal of Operational Research, Elsevier, vol. 237(2), pages 713-720.
    13. Vidal, Thibaut & Crainic, Teodor Gabriel & Gendreau, Michel & Prins, Christian, 2013. "Heuristics for multi-attribute vehicle routing problems: A survey and synthesis," European Journal of Operational Research, Elsevier, vol. 231(1), pages 1-21.
    14. Francisco Casas & Claudio E. Torres & Ignacio Araya, 2022. "A heuristic search based on diversity for solving combinatorial problems," Journal of Heuristics, Springer, vol. 28(3), pages 287-328, June.
    15. Miguel A. González & Juan José Palacios & Camino R. Vela & Alejandro Hernández-Arauzo, 2017. "Scatter search for minimizing weighted tardiness in a single machine scheduling with setups," Journal of Heuristics, Springer, vol. 23(2), pages 81-110, June.

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