Skip to main content

Experimental Pool Design: Input, Output and Combination Strategies for Scatter Search

  • Chapter
Book cover Metaheuristics: Computer Decision-Making

Part of the book series: Applied Optimization ((APOP,volume 86))

Abstract

We investigate several versions of a tabu scatter search heuristic to solve permutation type optimization problems. The focus lies on the design of the three main components which are comprised in every pool-oriented method. These components are the input and output procedures, which are responsible for pool maintenance and determine the transfer of elite solutions, and a solution combination method which must effectively combine a set of elite solutions. We propose several methods for each of these three components and evaluate their combinations as heuristic design variants on a sample set of capacitated Chinese postman instances. Descriptive results are discussed in detail and supported by the testing of a statistical hypothesis.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  • M. P. Bastos and C. C. Ribeiro. Reactive tabu search with path-relinking for the Steiner problem in graphs. In C. C. Ribeiro and P. Hansen, editors, Essays and Surveys in Metaheuristics, pages 39–58. Kluwer Academic Publishers, Boston, 2002.

    Chapter  Google Scholar 

  • R. Battiti and G. Tecchiolli. The reactive tabu search. ORSA J. on Computing, 6 (2): 126–140, 1994.

    Article  MATH  Google Scholar 

  • V. Campos, F. Glover, M. Laguna, and R. Marti. An experimental evaluation of a scatter search for the linear ordering problem. J. of Global Optimization, 21: 397–414, 2001.

    Article  MathSciNet  MATH  Google Scholar 

  • V. Campos, M. Laguna, and R. Marti. Scatter search for the linear ordering problem. In D. Come, M. Dorigo, and F. Glover, editors, New Ideas in Optimization, pages 331–339. McGraw-Hill, London, 1999.

    Google Scholar 

  • V.-D. Cung, T. Mautor, P. Michelon, and A. Tavares. A scatter search based approach for the quadratic assignment problem. In T. Bäck, Z. Michalewicz, and X. Yao, editors, Proceedings of IEEE-ICEC-EPS’97, IEEE International Conference on Evolutionary Computation and Evolutionary Programming Conference, pages 165–170, Indianapolis, USA, April 1997.

    Google Scholar 

  • F. Dammeyer and S. Voß. Dynamic tabu list management using the reverse elimination method. Annals of Ops Res, 41: 31–46, 1993.

    MATH  Google Scholar 

  • T. A. Feo and M. G. C. Resende. A probabilistic heuristic for a computationally difficult set covering problem. Ops Res. Letters, 8: 67–71, 1989.

    Article  MathSciNet  MATH  Google Scholar 

  • T. A. Feo and M. G. C. Resende. Greedy randomized adaptive search procedures. J. of Global Optimization, 6: 109–133, 1995.

    Article  MathSciNet  MATH  Google Scholar 

  • F Glover. Tabu search — part II. ORSA J. on Computing, 2: 4–32, 1990.

    Article  MATH  Google Scholar 

  • F Glover. A template for scatter search and path relinking. In J.-K. Hao, E. Lut-ton, E. Ronald, M. Schoenauer, and D. Snyers, editors, Artificial Evolution. Lecture Notes in Computer Science, 1363, pages 3–51. Springer, Heidelberg,1998.

    Google Scholar 

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

    Book  MATH  Google Scholar 

  • P. Greistorfer. Hybrid genetic tabu search for a cyclic scheduling problem. In S. Voß, S. Martello, I. H. Osman, and C. Roucairol, editors, Meta-Heuristics: Advances and Trends in Local Search Paradigms for Optimization, pages 213–229. Kluwer Academic Publishers, Boston, 1998.

    Google Scholar 

  • P. Greistorfer. A tabu scatter search metaheuristic for the arc routing problem. Computers and Industrial Engineering, 44 (2): 249–266, 2003.

    Article  Google Scholar 

  • P. Greistorfer and S. Voß. Controlled pool maintenance in combinatorial optimization. In Conference on Adaptive Memory and Evolution: Tabu Search and Scatter Search, 2001.

    Google Scholar 

  • A. Hertz, G. Laporte, and M. Mittaz. A tabu search heuristic for the capacitated arc routing problem. Ops Res., 48 (1, Jan-Feb): 129–135, 2000.

    Article  MathSciNet  MATH  Google Scholar 

  • M. Laguna. Optimization of complex systems with OptQuest. http://www.decisioneering.com/articles/articleindex.html 1997.

  • C. R. Reeves. Genetic algorithms. In C. R. Reeves, editor, Modern heuristic techniques for combinatorial problems, pages 151–196. Blackwell Scientific Publications, 1993.

    Google Scholar 

  • Y. Rochat and É. Taillard. Probabilistic diversification and intensification in local search for vehicle routing. Journal of Heuristics, 1 (1): 147–167, 1995.

    Article  MATH  Google Scholar 

  • SPSS. Version 10.0, SPSS GmbH Software. München, 1999.

    Google Scholar 

  • S. Voß. Solving quadratic assignment problems using the reverse elimination method. In S. G. Nash and A. Sofer, editors, The Impact of Emerging Technologies on Computer Science and Operations Research, pages 281–296. Kluwer, Dordrecht, 1995.

    Chapter  Google Scholar 

  • D. R. Wilson and T. R. Martinez. Improved heterogeneous distance functions. J. of Artificial Intelligence Research, 6: 1–34, 1997.

    MathSciNet  MATH  Google Scholar 

  • D. L. Woodruff and E. Zemel. Hashing vectors for tabu search. Ann. Ops Res., 41: 123–137, 1993.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer Science+Business Media New York

About this chapter

Cite this chapter

Greistorfer, P. (2003). Experimental Pool Design: Input, Output and Combination Strategies for Scatter Search. In: Metaheuristics: Computer Decision-Making. Applied Optimization, vol 86. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-4137-7_13

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-4137-7_13

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5403-9

  • Online ISBN: 978-1-4757-4137-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics