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Part of the book series: Natural Computing Series ((NCS))

Abstract

The evolutionary approach called scatter search originated from strategies for creating composite decision rules and surrogate constraints. Recent studies demonstrate the practical advantages of this approach for solving a diverse array of optimisation problems from both classical and real—world settings. Scatter search contrasts with other evolutionary procedures, such as genetic algorithms, by providing unifying principles for joining solutions based on generalised path constructions in Euclidean space and by utilising strategic designs where other approaches resort to randomisation. Additional advantages are provided by intensification and diversification mechanisms that exploit adaptive memory, drawing on foundations that link scatter search to tabu search. The main goal of this chapter is to demonstrate the development of a scatter search procedure by demonstrating how it may be applied to a class of non-linear optimisation problems on bounded variables. We conclude the chapter by highlighting key ideas and research issues that offer the promise of yielding future advances.

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References

  1. Glover F. Parametric Combinations of Local Job Shop Rules. ONR Research Memorandum no. 117, GSIA, Carnegie Mellon University, Pittsburgh, PA, 1963, Chapter IV.

    Google Scholar 

  2. Glover F. and Laguna M. Tabu Search, Kluwer Academic Publishers, Boston, 1997.

    Book  MATH  Google Scholar 

  3. Crowston WB, Glover F, Thompson GL and Trawick JD. Probabilistic and Parametric Learning Combinations of Local Job Shop Scheduling Rules. ONR Research Memorandum No. 117, GSIA, Carnegie Mellon University, Pittsburgh, PA, 1963.

    Google Scholar 

  4. Glover F. A Multiphase Dual Algorithm for the Zero-One Integer Programming Problem, Operations Research 1965; 13(6): 879.

    Article  MathSciNet  MATH  Google Scholar 

  5. Greenberg HJ and Pierskalla WP. Surrogate Mathematical Programs. Operations Research 1970; 18: 924–939.

    Article  MathSciNet  MATH  Google Scholar 

  6. Greenberg HJ and Pierskalla WP. Quasi-conjugate Functions and Surrogate Duality. Cahiers du Centre d’Etudes de Recherche Operationelle 1973; 15: 437–448.

    MathSciNet  MATH  Google Scholar 

  7. Glover F. Surrogate Constraint Duality in Mathematical Programming. Operations Research 1975; 23: 434–451.

    Article  MathSciNet  MATH  Google Scholar 

  8. Karwan MH and Rardin RL. Surrogate Dual Multiplier Search Procedures in Integer Programming. School of Industrial Systems Engineering, Report Series No. J-77-13, Georgia Institute of Technology, 1976.

    Google Scholar 

  9. Karwan MH and Rardin RL. Some Relationships Between Lagrangean and Surrogate Duality in Integer Programming. Mathematical Programming 1979; 17: 230–334.

    Article  MathSciNet  Google Scholar 

  10. Freville A and Plateau G. Heuristics and Reduction Methods for Multiple Constraint 0-1 Linear Programming Problems. European Journal of Operational Research 1986; 24: 206–215.

    Article  MathSciNet  MATH  Google Scholar 

  11. Freville A and Plateau G. An Exact Search for the Solution of the Surrogate Dual of the 0-1 Bidimensional Knapsack Problem. European Journal of Operational Research 1993;68:413–421.

    Article  MATH  Google Scholar 

  12. Glover F. A Template for Scatter Search and Path Relinking. In: Hao JK, Lutton E, Ronald E, Schoenauer M. and Snyers D (eds.) Lecture Notes in Computer Science 1997; 1363:1–53.

    Google Scholar 

  13. Michlewicz Z and Logan TD. Evolutionary Operators for Continuous Convex Parameter Spaces. In: Sebald AV and Fogel LJ (eds.) Proceedings of the 3rd Annual Conference on Evolutionary Programming. World Scientific Publishing, River Edge, NJ, 1994, pp. 84–97.

    Google Scholar 

  14. Neider JA and Mead R. A Simplex Method for Function Minimisation. Computer Journal 1965; 7: 308.

    Article  Google Scholar 

  15. Glover F. Scatter Search and Path Relinking. In: Corne D., Dorigo M. and Glover F. (eds.) New Ideas in Optimisation, McGraw-Hill, 1999.

    Google Scholar 

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© 2003 Springer-Verlag Berlin Heidelberg

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Glover, F., Laguna, M., Marti, R. (2003). Scatter Search. In: Ghosh, A., Tsutsui, S. (eds) Advances in Evolutionary Computing. Natural Computing Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18965-4_20

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  • DOI: https://doi.org/10.1007/978-3-642-18965-4_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62386-8

  • Online ISBN: 978-3-642-18965-4

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