Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 204))

Abstract

Tabu search is a meta-heuristic that guides a local heuristic search procedure to explore the solution space beyond local optimality. One of the main components of tabu search is its use of adaptive memory, which creates an intelligent search pattern based on strategic choices, as opposed to random selections that are widely applied in other methodologies. Tabu search has connections with other memory-based methodologies, namely, scatter search and path relinking, and they have been extensively applied to many combinatorial optimization problems in general and in particular to several diversity models.

Memory-based strategies are the hallmark of tabu search approaches, founded on a quest for “integrating principles,” by which alternative forms of memory are appropriately combined with effective strategies for exploiting them. They are based on principles designed to cross boundaries of feasibility or local optimality, which were usually treated as barriers. The methods based on these principles constitute nowadays the area called adaptive memory programming. Over a wide range of problem settings, the strategic use of memory in these methods has proved to make dramatic differences in the ability to solve challenging problems.

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References

  • Aringhieri, R., Cordone, R., Melzani, Y.: Tabu search versus GRASP for the maximum diversity problem. 4OR 6(1), 45–60 (2008)

    Google Scholar 

  • Brimberg, J., Mladenović, N., Urošević, D., Ngai, E.: Variable neighborhood search for the heaviest -subgraph. Comput. Oper. Res. 36(11), 2885–2891 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  • Duarte, A., Martí, R.: Tabu search and GRASP for the maximum diversity problem. Eur. J. Oper. Res. 178(1), 71–84 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  • Glover, F.: Heuristics for integer programming using surrogate constraints. Decis. Sci. 8(1), 156–166 (1977)

    Article  Google Scholar 

  • Glover, F.: Future paths for integer programming and links to artificial intelligence. Comput. Oper. Res. 13(5), 533–549 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  • Glover, F., Hao, J.K.: Diversification-based learning in computing and optimization. J. Heurist. 25(4), 521–537 (2019)

    Article  Google Scholar 

  • Glover, F., Laguna, M.: Tabu search. In: Handbook of Combinatorial Optimization, pp. 2093–2229. Springer, Berlin (1998)

    Google Scholar 

  • Glover, F., Kuo, C.C., Dhir, K.S.: Heuristic algorithms for the maximum diversity problem. J. Informat. Optim. Sci. 19(1), 109–132 (1998)

    MATH  Google Scholar 

  • Glover, F., Kochenberger, G., **e, W., Luo, J.: Diversification methods for zero-one optimization. J. Heurist. 25(4), 643–671 (2019)

    Article  Google Scholar 

  • Glover, F., Campos, V., Martí, R.: Tabu search tutorial. A graph drawing application. Top 29(2), 319–350 (2021)

    MATH  Google Scholar 

  • Kincaid, R.K.: Good solutions to discrete noxious location problems via metaheuristics. Ann. Oper. Res. 40(1), 265–281 (1992)

    Article  MATH  Google Scholar 

  • Kuby, M.J.: Programming models for facility dispersion: the p-dispersion and maxisum dispersion problems. Geograph. Analy. 19(4), 315–329 (1987)

    Article  Google Scholar 

  • Laguna, M., Martí, R.: Grasp and path relinking for 2-layer straight line crossing minimization. INFORMS J. Comput. 11(1), 44–52 (1999)

    Article  MATH  Google Scholar 

  • Macambira, E.M.: An application of tabu search heuristic for the maximum edge-weighted subgraph problem. Ann. Oper. Res. 117(1–4), 175–190 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  • Martí, R., Martínez-Gavara, A., Pérez-Peló, S., Sánchez-Oro, J.: Discrete diversity and dispersion maximization. a review and an empirical analysis from an or perspective. Eur. J. Oper. Res. 299(3), 795–813 (2022)

    Google Scholar 

  • Palubeckis, G.: Iterated tabu search for the maximum diversity problem. Appl. Math. Comput. 189(1), 371–383 (2007)

    MathSciNet  MATH  Google Scholar 

  • Porumbel, D.C., Hao, J.K., Glover, F.: A simple and effective algorithm for the MaxMin diversity problem. Ann. Oper. Res. 186(1), 275–293 (2011)

    Article  MATH  Google Scholar 

  • Resende, M.G., Martí, R., Gallego, M., Duarte, A.: Grasp and path relinking for the max-min diversity problem. Comput. Oper. Res. 37(3), 498–508 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  • Wang, Y., Hao, J.K., Glover, F., Lü, Z.: A tabu search based memetic algorithm for the maximum diversity problem. Eng. Appl. Artif. Intell. 27, 103–114 (2014)

    Article  Google Scholar 

  • Zhou, Y., Hao, J.K., Duval, B.: Opposition-based memetic search for the maximum diversity problem. IEEE Trans. Evolut. Comput. 21(5), 731–745 (2017)

    Article  Google Scholar 

Download references

Acknowledgements

This research has been partially supported by the Ministerio de Ciencia e Innovación of Spain (Grant Ref. PID2021-125709OB-C21) funded by MCIN/ AEI/ 10.13039/ 501100011033/ FEDER, UE. It has been also supported by the Generalitat Valenciana (Grant Ref. CIAICO/2021/224).

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Correspondence to Anna Martínez-Gavara .

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Martí, R., Martínez-Gavara, A., Glover, F. (2023). Tabu Search. In: Martí, R., Martínez-Gavara, A. (eds) Discrete Diversity and Dispersion Maximization. Springer Optimization and Its Applications, vol 204. Springer, Cham. https://doi.org/10.1007/978-3-031-38310-6_7

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