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Greedy Randomized Adaptive Search Procedures

  • Chapter
Handbook of Metaheuristics

Abstract

GRASP is a multi-start metaheuristic for combinatorial problems, in which each iteration consists basically of two phases: construction and local search. The construction phase builds a feasible solution, whose neighborhood is investigated until a local minimum is found during the local search phase. The best overall solution is kept as the result. In this chapter, we first describe the basic components of GRASP. Successful implementation techniques and parameter tuning strategies are discussed and illustrated by numerical results obtained for different applications. Enhanced or alternative solution construction mechanisms and techniques to speed up the search are also described: Reactive GRASP, cost perturbations, bias functions, memory and learning, local search on partially constructed solutions, hashing, and filtering. We also discuss in detail implementation strategies of memory-based intensification and post-optimization techniques using path-relinking. Hybridizations with other metaheuristics, paral lelization strategies, and applications are also reviewed.

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Bibliography

  1. S. Abdinnour-Helm and S.W. Hadley (2000) Tabu search based heuristics for multi-floor facility layout. International Journal of Production Research, 38, 365–383.

    Google Scholar 

  2. J. Abello, P.M. Pardalos and M.G.C. Resende (1999) On maximum clique problems in very large graphs. In: J. Abello and J. Vitter (eds.), External Memory Algorithms and Visualization, volume 50 of DIMACS Series on Discrete Mathematics and Theoretical Computer Science. American Mathematical Society, pp. 199–130.

    Google Scholar 

  3. R.K. Ahuja, J.B. Orlin and A. Tiwari (2000) A greedy genetic algorithm for the quadratic assignment problem. Computers and Operations Research, 27, 917–934.

    Article  MathSciNet  Google Scholar 

  4. R.M. Aiex, M.G.C. Resende, P.M. Pardalos and G. Toraldo (2000) GRASP with path-relinking for the three-index assignment problem. Technical report, AT&T Labs—Research.

    Google Scholar 

  5. R,M. Aiex, M.G.C. Resende and C.C. Ribeiro (2002) Probability distribution of solution time in GRASP: an experimental investigation. Journal of Heuristics, 8, 343–373.

    Article  Google Scholar 

  6. A.C. Alvim (1998) Parallelization strategies for the metaheuristic GRASP. Master’s thesis, Department of Computer Science, Catholic University of Rio de Janeiro, Brazil (in Portuguese).

    Google Scholar 

  7. A.C. Alvim and C.C. Ribeiro (1998) Load balancing for the parallelization of the GRASP metaheuristic. In: Proceedings of the X Brazilian Symposium on Computer Architecture, Búzios, pp. 279–282 (in Portuguese).

    Google Scholar 

  8. S. Areibi and A. Vannelli (1997) A GRASP clustering technique for circuit partitioning. In: J. Gu and P.M. Pardalos (eds.), Satisfiability Problems, Volume 35 of DIMACS Series on Discrete Mathematics and Theoretical Computer Science. American Mathematical Society, pp. 711–724.

    Google Scholar 

  9. M.F. Argüello, J.F. Bard and G. Yu (1997) A GRASP for aircraft routing in response to groundings and delays. Journal of Combinatorial Optimization, 1, 211–228.

    Article  Google Scholar 

  10. M.F. Argüello, T.A. Feo and O. Goldschmidt (1996) Randomized methods for the number partitioning problem. Computers and Operations Research, 23, 103–111.

    Article  Google Scholar 

  11. M. Armony, J.C. Klincewicz, H. Luss and M.B. Rosenwein (2000) Design of stacked self-healing rings using a genetic algorithm. Journal of Heuristics, 6, 85–105.

    Article  Google Scholar 

  12. J.B. Atkinson (1998) A greedy randomised search heuristic for time-constrained vehicle scheduling and the incorporation of a learning strategy. Journal of the Operational Research Society, 49, 700–708.

    Article  MATH  Google Scholar 

  13. J.F. Bard and T.A. Feo (1989) Operations sequencing in discrete parts manufacturing. Management Science, 35, 249–255.

    MathSciNet  Google Scholar 

  14. J.F. Bard and T.A. Feo (1991) An algorithm for the manufacturing equipment selection problem. IIE Transactions, 23, 83–92.

    Google Scholar 

  15. J.F. Bard, T.A. Feo and S. Holland (1996) A GRASP for scheduling printed wiring board assembly. IIE Transactions, 28, 155–165.

    Google Scholar 

  16. J.F. Bard, L. Huang, P. Jaillet and M. Dror (1998) A decomposition approach to the inventory routing problem with satellite facilities. Transportation Science, 32, 189–203.

    Google Scholar 

  17. R. Battiti and G. Tecchiolli (1992) Parallel biased search for combinatorial optimization: Genetic algorithms and tabu. Microprocessors and Microsystems, 16, 351–367.

    Article  Google Scholar 

  18. J.E. Beasley (1990) OR-Library: Distributing test problems by electronic mail. Journal of the Operational Research Society, 41, 1069–1072.

    Google Scholar 

  19. S. Binato, W.J. Hery, D, Loewenstern and M.G.C. Resende (2002) A GRASP for job shop scheduling. In: C.C. Ribeiro and P. Hansen (eds.), Essays and Surveys in Metaheuristics. Kluwer Academic Publishers, pp. 59–79.

    Google Scholar 

  20. S. Binato and G.C. Oliveira (2002) A reactive GRASP for transmission network expansion planning. In: C.C. Ribeiro and P. Hansen (eds.), Essays and Surveys in Metaheuristics. Kluwer Academic Publishers, pp. 81–100.

    Google Scholar 

  21. J.L. Bresina (1996) Heuristic-biased stochastic sampling. In: Proceedings of the Thirteenth National Conference on Artificial Intelligence. Portland, pp. 271–278.

    Google Scholar 

  22. S.A. Canuto, M.G.C. Resende and C.C. Ribeiro (2001) Local search with perturbations for the prize-collecting Steinertree problem in graphs. Networks, 38, 50–58.

    Article  MathSciNet  Google Scholar 

  23. S.A. Canuto, C.C. Ribeiro and M.G.C. Resende (1999) Local search with perturbations for the prize-collecting Steiner tree problem. In: Extended Abstracts of the Third Metaheuristics International Conference. Angra dos Reis, pp. 115–119.

    Google Scholar 

  24. C. Carreto and B. Baker (2002) A GRASP interactive approach to the vehicle routing problem with backhauls. In: C.C. Ribeiro and P. Hansen (eds.), Essays and Surveys in Metaheuristics. Kluwer Academic Publishers, pp. 185–199.

    Google Scholar 

  25. I. Charon and O. Hudry (1993) The noising method: a new method for combinatorial optimization. Operations Research Letters, 14, 133–137.

    Article  MathSciNet  Google Scholar 

  26. I. Charon and O. Hudry (2002) The noising methods: a survey. In: C.C. Ribeiro and C.C. Ribeiro (eds.), Essays and Surveys in Metaheuristics. Kluwer Academic Publishers, pp. 245–261.

    Google Scholar 

  27. V.-D. Cung, S.L. Martins, C.C. Ribeiro and C. Roucairol (2002) Strategies for the parallel implementation of metaheuristics. In: C.C. Ribeiro and C.C. Ribeiro (eds.), Essays and Surveys in Metaheuristics. Kluwer Academic Publishers, pp. 263–308.

    Google Scholar 

  28. P. De, J.B. Ghosj and C.E. Wells (1994) Solving a generalized model for con due date assignment and sequencing. International Journal of Production Economics, 34, 179–185.

    Article  Google Scholar 

  29. H. Delmaire, J.A. Díaz, E. Fernández and M. Ortega (1999) Reactive GRASP and Tabu Search based heuristics for the single source capacitated plant location problem. INFOR, 37, 194–225.

    Google Scholar 

  30. A.S. Deshpande and E. Triantaphyllou (1998) A greedy randomized adaptive search procedure (GRASP) for inferring logical clauses from examples in polynomial time and some extensions. Mathematical Computer Modelling, 27, 75–99.

    MathSciNet  Google Scholar 

  31. N. Dodd (1990) Slow annealing versus multiple fast annealing runs: an empirical investigation. Parallel Computing, 16, 269–272.

    Article  MATH  Google Scholar 

  32. A. Drexl and F. Salewski (1997) Distribution requirements and compactness constraints in school timetabling. European Journal of Operational Research, 102, 193–214.

    Article  Google Scholar 

  33. H.T. Eikelder, M. Verhoeven, T. Vossen and E. Aarts (1996) A probabilistic analysis of local search. In: I. Osman and J. Kelly (eds.), Metaheuristics: Theory and Applications. Kluwer Academic Publishers, pp. 605–618.

    Google Scholar 

  34. T.A. Feo and J.F. Bard (1989) Flight scheduling and maintenance base planning. Management Science, 35, 1415–1432.

    MathSciNet  Google Scholar 

  35. T.A. Feo and J.F. Bard (1989) The cutting path and tool selection problem in computer-aided process planning. Journal ofManufacturing Systems, 8, 17–26.

    Google Scholar 

  36. T.A. Feo, J.F. Bard and S. Holland (1995) Facility-wide planning and scheduling of printed wiring board assembly. Operations Research, 43, 219–230.

    Google Scholar 

  37. T.A. Feo and J.L. González-Velarde (1995) The intermodal trailer assignment problem: models, algorithms, and heuristics. Transportation Science, 29, 330–341.

    Google Scholar 

  38. T.A. Feo and M.G.C. Resende (1989) A probabilistic heuristic for a computationally difficult set covering problem. Operations Research Letters, 8, 67–71.

    Article  MathSciNet  Google Scholar 

  39. T.A. Feo and M.G.C. Resende (1995) Greedy randomized adaptive search procedures. Journal of Global Optimization, 6, 109–133.

    Article  MathSciNet  Google Scholar 

  40. T.A. Feo, M.G.C. Resende and S.H. Smith (1994) A greedy randomized adaptive search procedure for maximum independent set. Operations Research, 42, 860–878.

    Google Scholar 

  41. T.A. Feo, K. Sarathy and J. McGahan (1996) A GRASP for single machine scheduling with sequence dependent setup costs and linear delay penalties. Computers and Operations Research, 23, 881–895.

    Article  Google Scholar 

  42. T.A. Feo, K. Venkatraman and J.F. Bard (1991) A GRASP for a difficult single machine scheduling problem. Computers and Operations Research, 18, 635–643.

    Article  Google Scholar 

  43. E. Fernández and R. Martí (1999) GRASP for seam drawing in mosaicking of aerial photographic maps. Journal of Heuristics, 5, 181–197.

    Article  Google Scholar 

  44. P. Festa and M.G.C. Resende (2002) GRASP: an annotated bibliography. In: C.C. Ribeiro and P. Hansen (eds.), Essays and Surveys in Metaheuristics. Kluwer Academic Publishers, pp. 325–367.

    Google Scholar 

  45. P. Festa, M.G.C. Resende, P. Pardalos and C.C. Ribeiro (2001) GRASP and VNS for Max-Cut. In: Extended Abstracts of the Fourth Metaheuristics International Conference. Porto, pp. 371–376.

    Google Scholar 

  46. C. Fleurent and F. Glover (1999) Improved constructive multistart strategies for the quadratic assignment problem using adaptive memory. INFORMS Journal on Computing, 11, 198–204.

    MathSciNet  Google Scholar 

  47. J.B. Ghosh (1996) Computatinal aspects of the maximum diversity problem. Operations Research Letters, 19, 175–181.

    Article  MATH  MathSciNet  Google Scholar 

  48. F. Glover (1996) Tabu search and adaptive memory programming—advances, applications and challenges. In: R.S. Barr, R.V. Helgason and J.L. Kennington (eds.), Interfaces in Computer Science and Operations Research. Kluwer, pp. 1–75.

    Google Scholar 

  49. F. Glover (2000) Multi-start and strategic oscillation methods—principles to exploit adaptive memory. In: M. Laguna and J.L. Gonzáles-Velarde (eds.), Computing Tools for Modeling, Optimization and Simulation: Interfaces in Computer Science and Operations Research. Kluwer, pp. 1–24.

    Google Scholar 

  50. F. Glover and M. Laguna (1997) Tabu Search. Kluwer.

    Google Scholar 

  51. F. Glover, M. Laguna and R. Martí (2000) Fundamentals of scatter search and path relinking. Control and Cybernetics, 39, 653–684.

    Google Scholar 

  52. M.X. Goemans and D.P. Williamson (1996) The primal dual method for approximation algorithms and its application to network design problems. In: D. Hochbaum (ed.), Approximation Algorithms for NP-hard Problems. PWS Publishing Co., pp. 144–191.

    Google Scholar 

  53. P.L. Hammer and D.J. Rader, Jr. (2001) Maximally disjoint solutions of the set covering problem. Journal of Heuristics, 7, 131–144.

    Article  Google Scholar 

  54. P. Hansen and N. Mladenović (2002) Developments of variable neighborhood search. In: C.C. Ribeiro and P. Hansen (eds.), Essays and Surveys in Metaheuristics. Kluwer Academic Publishers, pp. 415–439.

    Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  56. H. Hoos and T. Stützle (1999) Towards a characterisation of the behaviour of stochastic local search algorithms for SAT. Artificial Intelligence, 112, 213–232.

    Article  MathSciNet  Google Scholar 

  57. J.G. Klincewicz (1992) Avoiding local optima in the p-hub location problem using tabu search and GRASP. Annals of Operations Research, 40, 283–302.

    Article  MATH  MathSciNet  Google Scholar 

  58. J.G. Klincewicz and A. Rajan (1994) Using GRASP to solve the component grouping problem. Naval Research Logistics, 41, 893–912.

    Google Scholar 

  59. G. Kontoravdis and J.F. Bard (1995) A GRASP for the vehicle routing problem with time windows. ORSA Journal on Computing, 7, 10–23.

    Google Scholar 

  60. M. Laguna, T.A. Feo and H.C. Elrod (1994) A greedy randomized adaptive search procedure for the two-partition problem. Operations Research, 42, 677–687.

    Google Scholar 

  61. M. Laguna and J.L. González-Velarde (1991) A search heuristic for just-in-time scheduling in parallel machines. Journal of Intelligent Manufacturing, 2, 253–260.

    Google Scholar 

  62. M. Laguna and R. Martí (1999) GRASP and path relinking for 2-layer straight line crossing minimization. INFORMS Journal on Computing, 11, 44–52.

    Google Scholar 

  63. Y. Li, P.M. Pardalos and M.G.C. Resende (1994) A greedy randomized adaptive search procedure for the quadratic assignment problem. In: P.M. Pardalos and H. Wolkowicz (eds.), Quadratic Assignment and Related Problems, volume 16 of DIMACS Series on Discrete Mathematics and Theoretical Computer Science. American Mathematical Society, pp. 237–261.

    Google Scholar 

  64. X. Liu, P.M. Pardalos, S. Rajasekaran and M.G.C. Resende (2000) A GRASP for frequency assignment in mobile radio networks. In: B.R. Badrinath, F. Hsu, P.M. Pardalos and S. Rajasekaran (eds.), Mobile Networks and Computing, volume 52 of DIMACS Series on Discrete Mathematics and Theoretical Computer Science. American Mathematical Society, pp. 195–201.

    Google Scholar 

  65. S.L. Martins, P.M. Pardalos, M.G.C. Resende and C.C. Ribeiro (1999) Greedy randomized adaptive search procedures for the steiner problem in graphs. In: P.M. Pardalos, S. Rajasekaran and J. Rolim (eds.), Randomization Methods in Algorithmic Design, volume 43 of DIMACS Series on Discrete Mathematics and Theoretical Computer Science. American Mathematical Society, pp. 133–145.

    Google Scholar 

  66. S.L. Martins, M.G.C. Resende, C.C. Ribeiro and P. Pardalos (2000) A parallel GRASP for the Steiner tree problem in graphs using a hybrid local search strategy. Journal of Global Optimization, 17, 267–283.

    Article  MathSciNet  Google Scholar 

  67. S.L. Martins, C.C. Ribeiro and M.C. Souza (1998) A parallel GRASP for the Steiner problem in graphs. In: A. Ferreira and J. Rolim (eds.), Proceedings of IRREGULAR’98—5th International Symposium on Solving Irregularly Structured Problems in Parallel, volume 1457 of Lecture Notes in Computer Science. Springer-Verlag, pp. 285–297.

    Google Scholar 

  68. T. Mavridou, P.M. Pardalos, L.S. Pitsoulis and M.G.C. Resende (1998) A GRASP for the biquadratic assignment problem. European Journal of Operational Research, 105, 613–621.

    Article  Google Scholar 

  69. N. Mladenović and P. Hansen (1997) Variable neighborhood search. Computers and Operations Research, 24, 1097–1100.

    MathSciNet  Google Scholar 

  70. R. A. Murphey, P.M. Pardalos and L.S. Pitsoulis (1998) A parallel GRASP for the data association multidimensional assignment problem. In: P.M. Pardalos (ed.), Parallel Processing of Discrete Problems, volume 106 of The IMA Volumes in Mathematics and Its Applications, Springer-Verlag, pp. 159–180.

    Google Scholar 

  71. L. Osborne and B. Gillett (1991) A comparison of two simulated annealing algorithms applied to the directed Steiner problem on networks. ORSA Journal on Computing, 3, 213–225.

    Google Scholar 

  72. P.M. Pardalos, T. Qian and M.G.C. Resende (1999) A greedy randomized adaptive search procedure for the feedback vertex set problem. Journal of Combinatorial Optimization, 2, 399–412.

    MathSciNet  Google Scholar 

  73. P.M. Pardalos, L.S. Pitsoulis and M.G.C. Resende (1995) A parallel GRASP implementation for the quadratic assignment problem. In: A. Ferreira and J. Rolim (eds.), Parallel Algorithms for Irregularly Structured Problems—Irregular’94.Kluwer Academic Publishers, pp. 115–133.

    Google Scholar 

  74. P.M. Pardalos, L.S. Pitsoulis and M.G.C. Resende (1996) A parallel GRASP for MAX-SAT problems. Lecture Notes in Computer Science, 1184, 575–585.

    Google Scholar 

  75. L.S. Pitsoulis, P.M. Pardalos and D.W. Hearn (2001) Approximate solutions to the turbine balancing problem. European Journal of Operational Research, 130, 147–155.

    Article  Google Scholar 

  76. M. Prais and C.C. Ribeiro (1999) Parameter variation in GRASP implementations. In: Extended Abstracts of the Third Metaheuristics International Conference. Angra dos Reis, pp. 375–380.

    Google Scholar 

  77. M. Prais and C.C. Ribeiro (2000) Parameter variation in GRASP procedures. InvestigaciónOperativa, 9, 1–20.

    Google Scholar 

  78. M. Prais and C.C. Ribeiro (2000) Reactive GRASP: an application to a matrix decomposition problem in TDMA traffic assignment. INFORMS Journal on Computing, 12, 164–176.

    Article  MathSciNet  Google Scholar 

  79. M.G.C. Resende (1998) Computing approximate solutions of the maximum covering problem using GRASP. Journal of Heuristics, 4, 161–171.

    Article  MATH  Google Scholar 

  80. M.G.C. Resende and T.A. Feo (1996) A GRASP for satisfiability. In: D.S. Johnson and M.A. Trick (eds.), Cliques, Coloring, and Satisfiability: The Second DIMACS Implementation Challenge, volume 26 of DIMACS Series on Discrete Mathematics and Theoretical Computer Science. American Mathematical Society, pp. 499–520.

    Google Scholar 

  81. M.G.C. Resende, T.A. Feo and S.H. Smith (1998) Algorithm 787: Fortran subroutines for approximate solution of maximum independent set problems using GRASP. ACM Transactions on Mathematical Software, 24, 386–394.

    Article  Google Scholar 

  82. M.G.C. Resende, P.M. Pardalos and Y. Li (1996) Algorithm 754: Fortran subroutines for approximate solution of dense quadratic assignment problems using GRASP. ACM Transactions on Mathematical Software, 22, 104–118.

    Article  Google Scholar 

  83. M.G.C. Resende, L.S. Pitsoulis and P.M. Pardalos (1997) Approximate solution of weighted MAX-SAT problems using GRASP. In: J. Gu and P.M. Pardalos (eds.), Satisfiability Problems, volume 35 of DIMACS Series on Discrete Mathematics and Theoretical Computer Science, American Mathematical Society, pp. 393–405.

    Google Scholar 

  84. M.G.C. Resende, L.S. Pitsoulis and P.M. Pardalos (2000) Fortran subroutines for computing approximate solutions of MAX-SAT problems using GRASP. Discrete Applied Mathematics, 100, 95–113.

    Article  Google Scholar 

  85. M.G.C. Resende and C.C. Ribeiro (1997) A GRASP for graph planarization. Networks, 29, 173–189.

    Article  Google Scholar 

  86. M.G.C. Resende and C.C. Ribeiro (2001) A GRASP with path-relinking for private virtual circuit routing. Technical report, AT&T Labs Research.

    Google Scholar 

  87. C.C. Ribeiro and M.G.C. Resende (1999) Algorithm 797: Fortran subroutines for approximate solution of graph planarization problems using GRASP. ACM Transactions on Mathematical Software, 25, 342–352.

    Article  Google Scholar 

  88. C.C. Ribeiro, C.D. Ribeiro and R.S. Lanzelotte (1997) Query optimization in distributed relational databases. Journal of Heuristics, 3, 5–23.

    Article  Google Scholar 

  89. C.C. Ribeiro and M.C. Souza (2002) Variable neighborhood search forthe degree constrained minimum spanning tree problem. Discrete Applied Mathematics, 118, 43–54.

    Article  MathSciNet  Google Scholar 

  90. C.C. Ribeiro, E. Uchoa and R.F. Werneck (2002) A hybrid GRASP with perturbations for the Steiner problem in graphs. INFORMS Journal on Computing, 14, 228–246.

    Article  MathSciNet  Google Scholar 

  91. R.Z. Ríos-Mercado and J.F. Bard (1998) Heuristics for the flow line problem with setup costs. European Journal of Operational Research, 76–98.

    Google Scholar 

  92. R.Z. Ríos-Mercado and J.F. Bard (1999) An enhanced TSP-based heuristic for makespan minimization in a flow shop with setup costs. Journal of Heuristics, 5, 57–74.

    Article  Google Scholar 

  93. B. Selman, H. Kautz and B. Cohen (1994) Noise strategies for improving local search. In: Proceedings of the Twelfth National Conference on Artificial Intelligence. Seattle, MIT Press, pp. 337–343.

    Google Scholar 

  94. E. Taillard (1991) Robust taboo search forthe quadratic assignment problem. Parallel Computing, 7, 443–455.

    MathSciNet  Google Scholar 

  95. H. Takahashi and A. Matsuyama (1980) An approximate solution for the Steiner problem in graphs. Mathematica Japonica, 24, 573–577.

    MathSciNet  Google Scholar 

  96. T.L. Urban (1998) Solution procedures for the dynamic facility layout problem. Annals of Operations Research, 323–342.

    Google Scholar 

  97. T.L. Urban, W.-C. Chiang and R.A. Russel (2000) The integrated machine allocation and layout problem. International Journal of Production Research, 2913–2930.

    Google Scholar 

  98. M.G.A. Verhoeven and E.H.L. Aarts (1995) Parallel local search. Journal of Heuristics, 1, 43–65.

    Google Scholar 

  99. S. Voss, A. Martin and T. Koch (2001) Steinlib testdata library. Online document at http://elib.zib.de/steinlib/steinlib.html, last visited on May 1.

  100. D.L. Woodruff and E. Zemel (1993) Hashing vectors for tabu search. Annals of Operations Research, 41, 123–137.

    Article  Google Scholar 

  101. J. Yen, M. Carlsson, M. Chang, J.M. Garcia and H. Nguyen (2000) Constraint solving for inkjet print mask design. Journal of Imaging Science and Technology, 44, 391–397.

    Google Scholar 

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Resende, M.G.C., Ribeiro, C.C. (2003). Greedy Randomized Adaptive Search Procedures. In: Glover, F., Kochenberger, G.A. (eds) Handbook of Metaheuristics. International Series in Operations Research & Management Science, vol 57. Springer, Boston, MA. https://doi.org/10.1007/0-306-48056-5_8

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