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Metaheuristics: Intelligent Problem Solving

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Matheuristics

Part of the book series: Annals of Information Systems ((AOIS,volume 10))

Abstract

Metaheuristics support managers in decision making with robust tools providing high quality solutions to important problems in business, engineering, economics and science in reasonable time horizons. While finding exact solutions in these applications still poses a real challenge despite the impact of recent advances in computer technology and the great interactions between computer science, management science/operations research and mathematics, (meta-) heuristics still seem to be the methods of choice in many (not to say most) applications. In this chapter we give some insight into the state of the art of metaheuristics. It focuses on the significant progress regarding the methods themselves as well as the advances regarding their interplay and hybridization with exact methods.

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References

  1. E.H.L. Aarts and J.K. Lenstra, editors. Local Search in Combinatorial Optimization. Wiley, Chichester, 1997.

    Google Scholar 

  2. E.H.L. Aarts and M. Verhoeven. Local search. In M. Dell’Amico, F. Maffioli, and S. Martello, editors, Annotated Bibliographies in Combinatorial Optimization, pages 163–180. Wiley, Chichester, 1997.

    Google Scholar 

  3. T. Achterberg and T. Berthold. Improving the feasibility pump. Discrete Optimization, 4:77–86, 2007.

    Article  Google Scholar 

  4. B. Adenso-Diaz and M. Laguna. Fine-tuning of algorithms using fractional experimental designs and local search. Operations Research, 54:99–114, 2006.

    Article  Google Scholar 

  5. R.K. Ahuja, O. Ergun, J.B. Orlin, and A.B. Punnen. A survey of very large-scale neighborhood search techniques. Discrete Applied Mathematics, 123:75–102, 2002.

    Article  Google Scholar 

  6. E. Alba, editor. Parallel Metaheuristics. Wiley, Hoboken, 2005.

    Google Scholar 

  7. E. Alba and R. Marti, editors. Metaheuristic Procedures for Training Neural Networks. Springer, New York, 2006.

    Google Scholar 

  8. I. Althöfer and K.-U. Koschnick. On the convergence of ‘threshold accepting’. Applied Mathematics and Optimization, 24:183–195, 1991.

    Article  Google Scholar 

  9. T. Bäck, D.B. Fogel, and Z. Michalewicz, editors. Handbook of Evolutionary Computation. Institute of Physics Publishing, Bristol, 1997.

    Google Scholar 

  10. R.S. Barr, B.L. Golden, J.P. Kelly, M.G.C. Resende, and W.R. Stewart. Designing and reporting on computational experiments with heuristic methods. Journal of Heuristics, 1:9–32, 1995.

    Article  Google Scholar 

  11. M.B. 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, Boston, 2002.

    Google Scholar 

  12. R. Battiti. Machine learning methods for parameter tuning in heuristics. Position paper for the 5th DIMACS Challenge Workshop: Experimental Methodology Day, 1996.

    Google Scholar 

  13. R. Battiti. Reactive search: Toward self-tuning heuristics. In V.J. Rayward-Smith, I.H. Osman, C.R. Reeves, and G.D. Smith, editors, Modern Heuristic Search Methods, pages 61–83. Wiley, Chichester, 1996.

    Google Scholar 

  14. R. Battiti, M. Brunato, and F. Mascia. Reactive Search and Intelligent Optimization. Springer, New York, 2009.

    Google Scholar 

  15. R. Battiti and G. Tecchiolli. The reactive tabu search. ORSA Journal on Computing, pages 126–140, 1994.

    Google Scholar 

  16. L. Bertacco, M. Fischetti, and A. Lodi. A feasibility pump heuristic for general mixed integer problems. Discrete Optimization, 4(1):77–86, 2007.

    Article  Google Scholar 

  17. D.P. Bertsekas, J.N. Tsitsiklis, and C. Wu. Rollout algorithms for combinatorial optimization. Journal of Heuristics, 3:245–262, 1997.

    Article  Google Scholar 

  18. C. Bierwirth, D.C. Mattfeld, and J.P. Watson. Landscape regularity and random walks for the job-shop scheduling problem. In J. Gottlieb and G.R. Raidl, editors, Evolutionary Computation in Combinatorial Optimization, 4th European Conference, EvoCOP 2004, volume 3004 of Lecture Notes in Computer Science, pages 21–30. Springer, 2004.

    Google Scholar 

  19. C. Blum and A. Roli. Metaheuristics in combinatorial optimization: Overview and conceptual comparison. ACM Computing Surveys, 35:268–308, 2003.

    Article  Google Scholar 

  20. E.K. Burke, G. Kendall, J. Newall, E. Hart, P. Ross, and S. Schulenburg. Hyper-heuristics: An emerging direction in modern search technology. In F.W. Glover and G.A. Kochenberger, editors, Handbook of Metaheuristics, pages 457–474. Kluwer, Boston, 2003.

    Google Scholar 

  21. M. Caserta and E. Quiñonez Rico. A cross entropy-lagrangean hybrid algorithm for the multi-item capacitated lot sizing problem with setup times. Computers & Operations Research, 36(2):530–548, 2009.

    Article  Google Scholar 

  22. R. Cerulli, A. Fink, M. Gentili, and S. Voß. Extensions of the minimum labelling spanning tree problem. Journal of Telecommunications and Information Technology, 4/2006:39–45, 2006.

    Google Scholar 

  23. I. Charon and O. Hudry. The noising method: A new method for combinatorial optimization. Operations Research Letters, 14:133–137, 1993.

    Article  Google Scholar 

  24. C. Cotta and A. Fernández. Analyzing fitness landscapes for the optimal golomb ruler problem. In G.R. Raidl and J. Gottlieb, editors, Evolutionary Computation in Combinatorial Optimization, 5th European Conference, EvoCOP 2005, volume 3448 of Lecture Notes in Computer Science, pages 68–79. Springer, 2005.

    Google Scholar 

  25. S. P. Coy, B.L. Golden, G.C. Rungen, and E.A. Wasil. Using experimental design to find effective parameter settings for heuristics. Journal of Heuristics, 7:77–97, 2000.

    Article  Google Scholar 

  26. T.G. Crainic, M. Toulouse, and M. Gendreau. Toward a taxonomy of parallel tabu search heuristics. INFORMS Journal on Computing, 9:61–72, 1997.

    Article  Google Scholar 

  27. E. Danna, E. Rothberg, and C. Le Pape. Exploring relaxation induced neighborhoods to improve MIP solutions. Mathematical Programming A, 102:71–90, 2005.

    Article  Google Scholar 

  28. P. De Boer, D.P. Kroese, S. Mannor, and R.Y. Rubinstein. A tutorial on the cross-entropy method. Annals of Operations Research, 134:19–67, 2005.

    Article  Google Scholar 

  29. J. Dems̆sar. Statistical comparison of classifiers over multiple data sets. Journal of Machine Learning Research, 7:1–30, 2006.

    Google Scholar 

  30. L. Di Gaspero and A. Schaerf. EASYLOCAL++: An object-oriented framework for the flexible design of local-search algorithms. Software – Practice and Experience, 33:733–765, 2003.

    Article  Google Scholar 

  31. T.G. Dietterich. Approximate statistical test for comparing supervised classification learning algorithms. Neural Computation, 10(7):1895–1923, 1998.

    Article  Google Scholar 

  32. M. Dorigo, V. Maniezzo, and A. Colorni. Ant system: Optimization by a colony of cooperating agents. IEEE Transactions on Systems, Man and Cybernetics, B - 26:29–41, 1996.

    Article  Google Scholar 

  33. M. Dorigo and T. Stützle. Ant Colony Optimization. MIT Press, Cambridge, 2004.

    Book  Google Scholar 

  34. K.F. Dörner, M. Gendreau, P. Greistorfer, W.J. Gutjahr, R.F. Hartl, and M. Reimann, editors. Metaheuristics: Progress in Complex Systems Optimization. Springer, New York, 2007.

    Google Scholar 

  35. K.A. Dowsland. Simulated annealing. In C. Reeves, editor, Modern Heuristic Techniques for Combinatorial Problems, pages 20–69. Halsted, Blackwell, 1993.

    Google Scholar 

  36. J. Dreo, A. Petrowski, P. Siarry, and E. Taillard. Metaheuristics for Hard Optimization. Springer, Berlin, 2006.

    Google Scholar 

  37. G. Dueck and T. Scheuer. Threshold accepting: a general purpose optimization algorithm appearing superior to simulated annealing. Journal of Computational Physics, 90:161–175, 1990.

    Article  Google Scholar 

  38. C.W. Duin and S. Voß. Steiner tree heuristics - a survey. In H. Dyckhoff, U. Derigs, M. Salomon, and H.C. Tijms, editors, Operations Research Proceedings 1993, pages 485–496, Berlin, 1994. Springer.

    Google Scholar 

  39. C.W. Duin and S. Voß. The pilot method: A strategy for heuristic repetition with application to the Steiner problem in graphs. Networks, 34:181–191, 1999.

    Article  Google Scholar 

  40. J. Eckstein and M. Nediak. Pivot, cut, and dive: a heuristic for 0-1 mixed integer programming. Journal of Heuristics, 13:471–503, 2007.

    Article  Google Scholar 

  41. M. Ehrgott and X. Gandibleux. Bound sets for biobjective combinatorial optimization problems. Computers & Operations Research, 34(9):2674–2694, 2007.

    Article  Google Scholar 

  42. U. Faigle and W. Kern. Some convergence results for probabilistic tabu search. ORSA Journal on Computing, 4:32–37, 1992.

    Google Scholar 

  43. P. Festa and M.G.C. Resende. An annotated bibliography of GRASP. Technical report, AT&T Labs Research, 2004.

    Google Scholar 

  44. G.R. Filho and L.A. Lorena. Constructive genetic algorithm and column generation: an application to graph coloring. In Proceedings of APORS 2000 - The Fifth Conference of the Association of Asian-Pacific Operations Research Society within IFORS 2000.

    Google Scholar 

  45. A. Fink and S. Voß. HotFrame: A heuristic optimization framework. In S. Voß and D.L. Woodruff, editors, Optimization Software Class Libraries, pages 81–154. Kluwer, Boston, 2002.

    Google Scholar 

  46. M. Fischetti, F. Glover, and A. Lodi. The feasibility pump. Mathematical Programming, A 104:91–104, 2005.

    Article  Google Scholar 

  47. M. Fischetti and A. Lodi. Local branching. Mathematical Programming, B 98:23–47, 2003.

    Article  Google Scholar 

  48. D.B. Fogel. On the philosophical differences between evolutionary algorithms and genetic algorithms. In D.B. Fogel and W. Atmar, editors, Proceedings of the Second Annual Conference on Evolutionary Programming, pages 23–29. Evolutionary Programming Society, La Jolla, 1993.

    Google Scholar 

  49. D.B. Fogel. Evolutionary Computation: Toward a New Philosophy of Machine Intelligence. IEEE Press, New York, 1995.

    Google Scholar 

  50. A. M. Glenberg. Learning from Data: An Introduction to Statistical Reasoning. Lawrence Erlbaum Associates, Mahwah, New Jersey, 1996.

    Google Scholar 

  51. F. Glover. Heuristics for integer programming using surrogate constraints. Decision Sciences, 8:156–166, 1977.

    Article  Google Scholar 

  52. F. Glover. Future paths for integer programming and links to artificial intelligence. Computers & Operations Research, 13:533–549, 1986.

    Article  Google Scholar 

  53. F. Glover. Tabu search – Part II. ORSA Journal on Computing, 2:4–32, 1990.

    Google Scholar 

  54. F. Glover. Scatter search and star-paths: beyond the genetic metaphor. OR Spektrum, 17:125–137, 1995.

    Article  Google Scholar 

  55. F. Glover. Tabu search and adaptive memory programming – Advances, applications and challenges. In R.S. Barr, R.V. Helgason, and J.L. Kennington, editors, Advances in Metaheuristics, Optimization, and Stochastic Modeling Technologies, pages 1–75. Kluwer, Boston, 1997.

    Google Scholar 

  56. F. Glover and M. Laguna. General purpose heuristics for integer programming - part I. Journal of Heuristics, 2(4):343–358, 1997.

    Article  Google Scholar 

  57. F. Glover and M. Laguna. General purpose heuristics for integer programming - part II. Journal of Heuristics, 3(2):161–179, 1997.

    Article  Google Scholar 

  58. F. Glover and M. Laguna. Tabu Search. Kluwer, Boston, 1997.

    Google Scholar 

  59. F.W. Glover and G.A. Kochenberger, editors. Handbook of Metaheuristics. Kluwer, Boston, 2003.

    Google Scholar 

  60. D.E. Goldberg. Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley, Reading, 1989.

    Google Scholar 

  61. B.L. Golden, S. Raghavan, and E.A. Wasil, editors. The Next Wave in Computing, Optimization, and Decision Technologies. Kluwer, Boston, 2005.

    Google Scholar 

  62. A.M. Gomes and J.F. Oliveira. Solving irregular strip packing problems by hybridising simulated annealing and linear programming. European Journal of Operational Research, 171:811–829, 2006.

    Article  Google Scholar 

  63. P. Greistorfer, A. Lokketangen, D.L. Woodruff, and S. Voß. Sequential versus simultaneous maximization of objective and diversity. Journal of Heuristics, 14:613–625, 2008.

    Article  Google Scholar 

  64. P. Greistorfer and S. Voß. Controlled pool maintenance for meta-heuristics. In C. Rego and B. Alidaee, editors, Metaheuristic Optimization via Memory and Evolution, pages 387–424. 2005.

    Google Scholar 

  65. K. Gutenschwager, C. Niklaus, and S. Voß. Dispatching of an electric monorail system: Applying meta-heuristics to an online pickup and delivery problem. Transportation Science, 38:434–446, 2004.

    Article  Google Scholar 

  66. B. Hajek. Cooling schedules for optimal annealing. Mathematics of Operations Research, 13:311–329, 1988.

    Article  Google Scholar 

  67. P. Hansen, V. Maniezzo, and S. Voß. Special issue on mathematical contributions to metaheuristics editorial. Journal of Heuristics, 15(3):197–199, 2009.

    Article  Google Scholar 

  68. P. Hansen and N. Mladenović. An introduction to variable neighborhood search. In S. Voß, S. Martello, I.H. Osman, and C. Roucairol, editors, Meta-Heuristics: Advances and Trends in Local Search Paradigms for Optimization, pages 433–458. Kluwer, Boston, 1999.

    Google Scholar 

  69. P. Hansen, N. Mladenović, and D. Perez-Brito. Variable neighborhood decomposition search. Journal of Heuristics, 7(4):335–350, 2001.

    Article  Google Scholar 

  70. J.P. Hart and A.W. Shogan. Semi-greedy heuristics: An empirical study. Operations Research Letters, 6:107–114, 1987.

    Article  Google Scholar 

  71. A. Hertz and D. Kobler. A framework for the description of evolutionary algorithms. European Journal of Operational Research, 126:1–12, 2000.

    Article  Google Scholar 

  72. F. Hoffmeister and T. Bäck. Genetic algorithms and evolution strategies: Similarities and differences. In H.-P. Schwefel and R. Männer, editors, Parallel Problem Solving from Nature, volume 496 of Lecture Notes in Computer Science, pages 455–469. Springer, 1991.

    Google Scholar 

  73. J.H. Holland. Adaptation in Natural and Artificial Systems. The University of Michigan Press, Ann Arbor, 1975.

    Google Scholar 

  74. J.N. Hooker. Testing heuristics: We have it all wrong. Journal of Heuristics, 1:33–42, 1995.

    Article  Google Scholar 

  75. H.H. Hoos and T. Stützle. Stochastic Local Search – Foundations and Applications. Elsevier, Amsterdam, 2005.

    Google Scholar 

  76. T. Ibaraki, K. Nonobe, and M. Yagiura, editors. Metaheuristics: Progress as Real Problem Solvers. Springer, New York, 2005.

    Google Scholar 

  77. L. Ingber. Adaptive simulated annealing (ASA): Lessons learned. Control and Cybernetics, 25:33–54, 1996.

    Google Scholar 

  78. A. Jaszkiewicz. A comparative study of multiple-objective metaheuristics on the bi-objective set covering problem and the pareto memetic algorithm. Annals of Operations Research, 131:215–235, 2004.

    Article  Google Scholar 

  79. D.S. Johnson, C.R. Aragon, L.A. McGeoch, and C. Schevon. Optimization by simulated annealing: An experimental evaluation; part i, graph partitioning. Operations Research, 37:865–892, 1989.

    Article  Google Scholar 

  80. S. Kirkpatrick, C.D. Gelatt Jr., and M.P. Vecchi. Optimization by simulated annealing. Science, 220:671–680, 1983.

    Article  Google Scholar 

  81. M. Laguna and R. Martí. Scatter Search. Kluwer, Boston, 2003.

    Google Scholar 

  82. S. Lin and B.W. Kernighan. An effective heuristic algorithm for the traveling-salesman problem. Operations Research, 21:498–516, 1973.

    Article  Google Scholar 

  83. C. McGeoch. Toward an experimental method for algorithm simulation. INFORMS Journal on Computing, 8:1–15, 1996.

    Article  Google Scholar 

  84. C. Meloni, D. Pacciarelli, and M. Pranzo. A rollout metaheuristic for job shop scheduling problems. Annals of Operations Research, 131:215–235, 2004.

    Article  Google Scholar 

  85. Z. Michalewicz. Genetic Algorithms + Data Structures = Evolution Programs. Springer, Berlin, 3 edition, 1999.

    Google Scholar 

  86. Z. Michalewicz and D.B. Fogel. How to Solve It: Modern Heuristics. Springer, Berlin, 2 edition, 2004.

    Google Scholar 

  87. P. Moscato. An introduction to population approaches for optimization and hierarchical objective functions: A discussion on the role of tabu search. Annals of Operations Research, 41:85–121, 1993.

    Article  Google Scholar 

  88. I.H. Osman and J.P. Kelly, editors. Meta-Heuristics: Theory and Applications. Kluwer, Boston, 1996.

    Google Scholar 

  89. M.W. Park and Y.D. Kim. A systematic procedure for setting parameters in simulated annealing algorithms. Computers & Operations Research, 25(3):207–217, 1998.

    Article  Google Scholar 

  90. R. Parson and M.E. Johnson. A case study in experimental design applied to genetic algorithms with applications to DNA sequence assembly. American Journal of Mathematical and Management Sciences, 17(3):369–396, 1997.

    Google Scholar 

  91. J. Pearl. Heuristics: Intelligent Search Strategies for Computer Problem Solving. Addison-Wesley, Reading, 1984.

    Google Scholar 

  92. Pesch and F. Glover. TSP ejection chains. Discrete Applied Mathematics, 76:165–182, 1997.

    Article  Google Scholar 

  93. G. Polya. How to solve it. Princeton University Press, Princeton, 1945.

    Google Scholar 

  94. J. Puchinger and G.R. Raidl. An evolutionary algorithm for column generation in integer programming: an effective approach for 2D bin packing. In X. Yao, E.K. Burke, J.A. Lozano, J. Smith, J.J. Merelo-Guervos, J.A. Bullinaria, J.E. Rowe, P. Tino, A. Kaban, and H.-P. Schwefel, editors, Parallel Problem Solving from Nature – PPSN VIII, volume 3242 of Lecture Notes in Computer Science, pages 642–651. Springer Verlag, 2004.

    Google Scholar 

  95. J. Puchinger and G.R. Raidl. Combining metaheuristics and exact algorithms in combinatorial optimization: A survey and classification. In J. Mira and J.R. Álvarez, editors, Proceedings of the First International Work-Conference on the Interplay Between Natural and Artificial Computation, Part II, volume 3562 of Lecture Notes in Computer Science, pages 41–53. Springer, 2005.

    Google Scholar 

  96. G.R. Raidl. A unified view on hybrid metaheuristics. In F. Almeida, M.J. Blesa, C. Blum, J.M. Moreno-Vega, M.M. Pérez, A. Roli, and M. Sampels, editors, Hybrid Metaheuristics, volume 4030 of Lecture Notes in Computer Science, pages 1–12. Springer, 2006.

    Google Scholar 

  97. B. Rangaswamy, A. S. Jain, and F. Glover. Tabu search candidate list strategies in scheduling. pages 215–233, 1998.

    Google Scholar 

  98. V.J. Rayward-Smith, I.H. Osman, C.R. Reeves, and G.D. Smith, editors. Modern Heuristic Search Methods. Wiley, Chichester, 1996.

    Google Scholar 

  99. C.R. Reeves and J.E. Rowe. Genetic Algorithms: Principles and Perspectives. Kluwer, Boston, 2002.

    Google Scholar 

  100. C. Rego and B. Alidaee, editors. Metaheuristic Optimization via Memory and Evolution. 2005.

    Google Scholar 

  101. M.G.C. Resende and J.P. de Sousa, editors. Metaheuristics: Computer Decision-Making. Kluwer, Boston, 2004.

    Google Scholar 

  102. C.C. Ribeiro and P. Hansen, editors. Essays and Surveys in Metaheuristics. Kluwer, Boston, 2002.

    Google Scholar 

  103. F. Rossi, P. van Beek, and T. Walsh, editors. Handbook of Constraint Programming (Foundations of Artificial Intelligence). Elsevier, 2006.

    Google Scholar 

  104. R.Y. Rubinstein. Optimization of Computer Simulation Models with Rare Events. European Journal of Operational Research, 99:89–112, 1997.

    Article  Google Scholar 

  105. M. Sakawa. Genetic Algorithms and Fuzzy Multiobjective Optimization. Kluwer, Boston, 2001.

    Google Scholar 

  106. H.-P. Schwefel and T. Bäck. Artificial evolution: How and why? In D. Quagliarella, J. Périaux, C. Poloni, and G. Winter, editors, Genetic Algorithms and Evolution Strategy in Engineering and Computer Science: Recent Advances and Industrial Applications, pages 1–19. Wiley, Chichester, 1998.

    Google Scholar 

  107. P. Shaw. Using constraint programming and local search methods to solve vehicle routing problems. Working paper, ILOG S.A., Gentilly, France, 1998.

    Google Scholar 

  108. K. Smith. Neural networks for combinatorial optimisation: A review of more than a decade of research. INFORMS Journal on Computing, 11:15–34, 1999.

    Article  Google Scholar 

  109. M. Sniedovich and S. Voß. The corridor method: A dynamic programming inspired metaheuristic. Control and Cybernetics, 35:551–578, 2006.

    Google Scholar 

  110. L. Sondergeld. Performance Analysis Methods for Heuristic Search Optimization with an Application to Cooperative Agent Algorithms. Shaker, Aachen, 2001.

    Google Scholar 

  111. R.H. Storer, S.D. Wu, and R. Vaccari. Problem and heuristic space search strategies for job shop scheduling. ORSA Journal on Computing, 7:453–467, 1995.

    Google Scholar 

  112. E. Taillard and S. Voß. POPMUSIC – partial optimization metaheuristic under special intensification conditions. In C.C. Ribeiro and P. Hansen, editors, Essays and Surveys in Metaheuristics, pages 613–629. Kluwer, Boston, 2002.

    Google Scholar 

  113. E. Taillard, P. Waelti, and J. Zuber. Few statistical tests for proportions comparison. European Journal of Operational Research, 185(3):1336–1350, 2006.

    Article  Google Scholar 

  114. É.D. Taillard, L.M. Gambardella, M. Gendreau, and J.-Y. Potvin. Adaptive memory programming: A unified view of meta-heuristics. European Journal of Operational Research, 135:1–16, 2001.

    Article  Google Scholar 

  115. J. Tavares, F. Pereira, and E. Costa. Multidimensional knapsack problem: A fitness landscape analysis. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cynernetics, 38(3):604–616, 2008.

    Article  Google Scholar 

  116. R.J.M. Vaessens, E.H.L. Aarts, and J.K. Lenstra. A local search template. Computers & Operations Research, 25:969–979, 1998.

    Article  Google Scholar 

  117. M.G.A. Verhoeven and E.H.L. Aarts. Parallel local search techniques. Journal of Heuristics, 1:43–65, 1995.

    Article  Google Scholar 

  118. S. Voß. Intelligent Search. Manuscript, TU Darmstadt, 1993.

    Google Scholar 

  119. S. Voß. Tabu search: applications and prospects. In D.-Z. Du and P. Pardalos, editors, Network Optimization Problems, pages 333–353. World Scientific, Singapore, 1993.

    Chapter  Google Scholar 

  120. S. Voß. Observing logical interdependencies in tabu search: Methods and results. In V.J. Rayward-Smith, I.H. Osman, C.R. Reeves, and G.D. Smith, editors, Modern Heuristic Search Methods, pages 41–59, Chichester, 1996. Wiley.

    Google Scholar 

  121. S. Voß. Meta-heuristics: The state of the art. In A. Nareyek, editor, Local Search for Planning and Scheduling, volume 2148 of Lecture Notes in Artificial Intelligence, pages 1–23. Springer, 2001.

    Google Scholar 

  122. S. Voß. Metaheuristics. In C.A. Floudas and P.M. Pardalos, editors, Encyclopedia of Optimization. Springer, New York, 2008.

    Google Scholar 

  123. S. Voß, A. Fink, and C. Duin. Looking ahead with the pilot method. Annals of Operations Research, 136:285–302, 2005.

    Article  Google Scholar 

  124. S. Voß, S. Martello, I.H Osman, and C. Roucairol, editors. Meta-Heuristics: Advances and Trends in Local Search Paradigms for Optimization. Kluwer, Boston, 1999.

    Google Scholar 

  125. S. Voß and D.L. Woodruff, editors. Optimization Software Class Libraries. Kluwer, Boston, 2002.

    Google Scholar 

  126. J. P. Watson, L. D. Whitley, and A. E. Howe. Linking search space structure, run-time dynamics, and problem difficulty: A step toward demystifying tabu search. Journal of Artificial Intelligence Research, 24:221–261, 2005.

    Article  Google Scholar 

  127. D. Whitley, S. Rana, J. Dzubera, and K.E. Mathias. Evaluating evolutionary algorithms. Artificial Intelligence, 85:245–276, 1996.

    Article  Google Scholar 

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

    Article  Google Scholar 

  129. D.L. Woodruff. Proposals for chunking and tabu search. European Journal of Operational Research, 106:585–598, 1998.

    Article  Google Scholar 

  130. D.L. Woodruff. A chunking based selection strategy for integrating meta-heuristics with branch and bound. In S. Voß, S. Martello, I.H. Osman, and C. Roucairol, editors, Meta-Heuristics: Advances and Trends in Local Search Paradigms for Optimization, pages 499–511. Kluwer, Boston, 1999.

    Google Scholar 

  131. J. Xu, S.Y. Chiu, and F. Glover. Fine-tuning a tabu search algorithm with statistical tests. International Transactions in Operational Research, 5(3):233–244, 1998.

    Article  Google Scholar 

  132. J.H. Zar. Biostatistical Analysis. Prentice Hall, Upper Saddle River, New Jersey, 1999.

    Google Scholar 

  133. M. Zlochin, M. Birattari, N. Meuleau, and M. Dorigo. Model-based search for combinatorial optimization. Annals of Operations Research, 131(1):373–395, 2004.

    Article  Google Scholar 

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Caserta, M., Voß, S. (2009). Metaheuristics: Intelligent Problem Solving. In: Maniezzo, V., Stützle, T., Voß, S. (eds) Matheuristics. Annals of Information Systems, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-1306-7_1

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