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A Model for Analyzing Black-Box Optimization

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Book cover Algorithms and Data Structures (WADS 2003)

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Abstract

The design of heuristics for NP-hard problems is perhaps the most active area of research in the theory of combinatorial algorithms. However, practitioners more often resort to local-improvement heuristics such as gradient-descent search, simulated annealing, tabu search, or genetic algorithms. Properly implemented, local-improvement heuristics can lead to short, efficient programs that yield reasonable solutions. Designers of efficient local-improvement heuristics must make several crucial decisions, including the choice of neighborhood and heuristic for the problem at hand. We are interested in developing a general methodology for predicting the quality of local-neighborhood operators and heuristics, given a time budget and a solution evaluation function.

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References

  1. Aarts, E., Lenstra, J.K.: The Traveling Salesman Problem: A Case Study. Wiley, Chichester (1997)

    Google Scholar 

  2. Agrawal, M., Allender, E., Impagliazzo, R., Pitassi, T., Rudich, S.: Reducing the complexity of reductions. In: ACM Symposium on Theory of Computing, pp. 730–738 (1997)

    Google Scholar 

  3. Aldous, D., Vazirani, U.V.: Go with the Winners algorithms. In: IEEE Symposium on Foundations of Computer Science, pp. 492–501 (1994)

    Google Scholar 

  4. Beame, P., Cook, S., Edmonds, J., Impagliazzo, R., Pitassi, T.: The relative complexity of NP search problems. In: ACM Symposium on Theory of Computing, pp. 303–314 (1995)

    Google Scholar 

  5. Carson, T., Impagliazzo, R.: Hill-climbing finds random planted bisections. In: Twelfth Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 903–909 (2001)

    Google Scholar 

  6. Gutin, G., Yeo, A.: TSP heuristics with large domination number. Technical Report PP-1998-13, Odense University, Denmark, August 20 (1998)

    Google Scholar 

  7. Gutin, G., Yeo, A., Zverivich, A.: Polynominal restriction approach for the atsp and stsp. The Traveling Salesman Problem (to appear)

    Google Scholar 

  8. Hajek, B.: Cooling schedules for optimal simulated annealing. Math. Operations Res. 13, 311–329 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  9. Ho, Y., Sreeniva, R., Vakili, P.: Ordinal optimization of discrete event dynamic systems. J. on DEDS 2, 61–68 (1992)

    MATH  Google Scholar 

  10. Johnson, D.S., Papadimitriou, C.H., Yannakakis, M.: How easy is local search? In: Proc. 26th Annual Symp. on Foundations of Computer Science, pp. 39–42 (1985); Also J. Computer System Sci. 37(1), 79-100 (1988)

    Google Scholar 

  11. Juels, A.: Topics in black box optimization. Ph.D. Thesis, University of California, Berkeley (1996)

    Google Scholar 

  12. Kernighan, B.W., Lin, S.: An efficient heuristic procedure for partitioning graphs. The Bell system technical journal 49(1), 291–307 (1970)

    Google Scholar 

  13. Lin, S., Kernighan, B.: An effective heuristic algorithm for the traveling salesman problem. Operations Research 21, 498–516 (1973)

    Article  MATH  MathSciNet  Google Scholar 

  14. Martin, O., Otto, S., Felten, E.: Large-step markov chains for the traveling salesman problem. Complex Systems 5, 299–326 (1991)

    MATH  MathSciNet  Google Scholar 

  15. Papadimitriou, C.H., Schaffer, A., Yannakakis, M.: On the complexity of local search. In: Proc. 22nd Annual ACM Symp. on Theory of Computing, pp. 438–445 (1990)

    Google Scholar 

  16. Phan, V., Sumazin, P., Skiena, S.: A time-sensitive system for black-box combinatorial optimization. In: 4th Workshop on Algorithm Engineering and Experiments, San Francisco, USA (January 2002)

    Google Scholar 

  17. Reinelt, G.: TSPLIB. University of Heidelberg, www.iwr.uni-heidelberg.de/groups/comopt/software/TSPLIB95

  18. Resende, M.: Max-Satisfiability Data. Information Sciences Research Center, AT&T, www.research.att.com/~mgcr

  19. Tovey, C.A.: Local improvements on discrete structures. In: Aarts, E., Lenstra, J.K. (eds.) Local Search and Combinatorial Optimization, pp. 57–89. John Wiley and Sons Ltd., Chichester (1997)

    Google Scholar 

  20. Wolpert, D.H., Macready, W.G.: No free lunch theorems for optimization. IEEE Transactions on Evolutionary Computation 1(1), 67–82 (1997)

    Article  Google Scholar 

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Phan, V., Skiena, S., Sumazin, P. (2003). A Model for Analyzing Black-Box Optimization. In: Dehne, F., Sack, JR., Smid, M. (eds) Algorithms and Data Structures. WADS 2003. Lecture Notes in Computer Science, vol 2748. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45078-8_37

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  • DOI: https://doi.org/10.1007/978-3-540-45078-8_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40545-0

  • Online ISBN: 978-3-540-45078-8

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