Abstract
The emergence of metaheuristics for solving difficult combinatorial optimization problems is one of the most notable achievements of the last two decades in operations research. This paper provides an account of the most recent developments in the field and identifies some common issues and trends. Examples of applications are also reported for vehicle routing and scheduling problems.
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References
Aarts, E.H.L., J.H.M. Korst, and P.J.M. van Laarhoven. (1997). “Simulated Annealing.” In E.H.L. Aarts and J.K. Lenstra (eds.), Local Search in Combinatorial Optimization Chichester: Wiley, pp. 91–136.
Aarts, E.H.L. and J.K. Lenstra. (eds.) (1997). Local Search in Combinatorial Optimization. Chichester: Wiley.
Aarts, E.H.L. and H.M.M. Ten Eikelder. (2002). “Simulated Annealing.” In P.M. Pardalos and M.G.C. Resende (eds.), Handbook of Applied Optimization. New York: Oxford University Press, pp. 209–220.
Aarts, E.H.L. and M.G.A. Verhoeven. (1997). “Genetic Local Search for the Traveling Salesman Problem.” In T. Bäck, D.B. Fogel, Z. Michalewicz (eds.), Handbook of Evoluationary Computation, G9.5, New York: Oxford University Press.
Ahuja, R.K., O. Ergun, J.B. Orlin, and A.P. Punnen. (2002). “A Survey of Very Large-Scale Neighborhood Search Techniques.” Discrete Applied Mathematics 123, 75–102.
Azencott, R. (ed.) (1992). Simulated Annealing: Parallelization Techniques. Chichester: Wiley.
Battiti, R. and G. Tecchiolli. (1994). “The Reactive Tabu Search.” ORSA Journal on Computing 6, 126–140.
Beasley, J.E. (2002). “Population Heuristics.” In P.M. Pardalos and M.G.C. Resende (eds.), Handbook of Applied Optimization. New York: Oxford University Press, pp. 138–156.
Bent, R. and P. Van Hentenryck. (2004). “A Two-Stage Hybrid Local Local Search for the Vehicle Routing Problem with Time Windows.” Transportation Science 38, 515–530.
Benyahia, I. and J.-Y. Potvin. (1998). “Decision Support for Vehicle Dispatching using Genetic Programming.” IEEE Transactions on Systems, Man and Cybernetics 28, 306–314.
Bräysy, O. (2001). “Local Search and Variable Neighborhood Search Algorithms for the Vehicle Routing Problem with Time Windows.” Doctoral Dissertation, University of Vaasa, Finland.
Bräysy, O., M. Gendreau, and W. Dullaert. (2004). “Evolutionay Algorithms for the Vehicle Routing Problem with Time Windows.” Journal of Heuristics 10, 587–611.
Bräysy, O. and M. Gendreau. (2002). “Tabu Search Heuristics for the Vehicle Routing Problem with Time Windows.” TOP 10, 211–238.
Bräysy, O. and M. Gendreau. (2005). “Vehicle Routing Problem with Time Windows, Part II: Metaheuristics.” Transportation Science 39, 119–139.
Bullnheimer, B., R.F. Hartl, and C. Strauss. (1999). “Applying the Ant System to the Vehicle Routing Problem.” In S. Voss, S. Martello, I.H. Osman, and C. Roucairol (eds.), Meta-Heuristics: Advances and Trends in Local Search Paradigms for Optimization. Boston: Kluwer, pp. 285–296.
Bullnheimer, B., R.F. Hartl, and C. Strauss. (1999). “An Improved Ant System for the Vehicle Routing Problem.” Annals of Operations Research 89, 319–328.
Burke, E.K., P. Cowling, and R. Keuthen. (2001). “Effective Local and Guided Variable Neighborhood Search Methods for the Asymmetric Traveling Salesman Problem.” Lecture Notes in Computer Science 2037, 203–212.
Cantú-Paz, E. (2000). Efficient and Accurate Parallel Genetic Algorithms. Boston: Kluwer.
Carreto, C. and B. Baker. (2001). “A GRASP Interactive Approach to the Vehicle Routing Problem with Backhauls.” In C.C. Ribeiro, P. Hansen (eds.), Essays and Surveys in Metaheuristics. Boston: Kluwer, pp. 185–200.
Cerny, V. (1985). “Thermodynamical Approach to the Traveling Salesman Problem: An Efficient Simulation Algorithm.” Journal of Optimization Theory and Applications 45, 41–51.
Chardaire, P., J.L. Lutton, and A. Sutter. (1995). “Thermostatistical persistency: A Powerful Improving Concept for Simulated Annealing Algorithms.” European Journal of Operational Research 86, 565–579.
Congram, R.K., C.N. Potts, and S.L. van der Velde. (2002). “An Iterated Dynasearch Algorithm for the Single Machine Total Weighted Tardiness Scheduling Problem.” INFORMS Journal on Computing 14, 52–67.
Cordeau, J.-F., M. Gendreau, G. Laporte, J.-Y. Potvin, and F. Semet. (2002). “A Guide to Vehicle Routing Heuristics.” Journal of the Operational Research Society 53, 512–522.
Cordeau, J.-F., G. Laporte, and A. Mercier. (2001). “A Unified Tabu Search Heuristic for Vehicle Routing Problems with Time Windows.” Journal of the Operational Research Society 52, 928–936.
Cordeau, J.-F. and G. Laporte. (2003). “A Tabu Search Heuristic for the Static Multi-Vehicle Dial-a-Ride Problem.” Transportation Research B37, 579–594.
Cordeau, J.-F. and G. Laporte. (2004). “Tabu Search Heuristics for the Vehicle Routing Problem.” In C. Rego and B. Alidaee (eds.), Metaheuristic Optimization via Memory and Evolution: Tabu Search and Scatter Search. Boston: Kluwer, pp. 145–163.
Cordone, R. and R.W. Calvo. (2001). “A Heuristic for the Vehicle Routing Problem with Time Windows.” Journal of Heuristics 7, 107–129.
Corne, D., M. Dorigo, and F. Glover. (eds.) (1999). New Ideas in Optimization, London: McGraw-Hill.
Crainic, T.G. and M. Gendreau. (1999). “Towards an Evolutionary Method—Cooperative Multi-Thread Parallel Tabu Search Heuristic Hybrid.” In S. Voss, S. Martello, I.H. Osman and C. Roucairol (eds.), Meta-Heuristics: Advances and Trends in Local Search Paradigms for Optimization. Boston: Kluwer, pp. 331–344.
Crainic, T.G., M. Gendreau, and J.M. Farvolden. (2000). “A Simplex-Based Tabu Search Method for Capacitated Network Design.” INFORMS Journal on Computing 12, 223–236.
Crainic, T.G., M. Gendreau, P. Hansen, N. Hoeb, and N. Mladenović. (2001). “Parallel Variable Neighborhood Search for the p-Median.” In Proceedings of MIC'2001, Porto, 595–599.
Crainic, T.G., M. Gendreau, P. Soriano, and M. Toulouse. (1993). “A Tabu Search Procedure for Multicommodity Location/Allocation with Balancing Requirements.” Annals of Operations Research 41, 359–383.
Crainic, T.G. and M. Toulouse. (2003). “Parallel Strategies for Meta-Heuristics.” In F. Glover and G. Kochenberger (eds.), Handbook of Metaheuristics. Boston: Kluwer, pp. 475–513.
Crainic, T.G., M. Toulouse, and M. Gendreau. (1997). “Towards a Taxonomy of Parallel Tabu Search Algorithms.” INFORMS Journal on Computing 9, 61–72.
Crispim, J. and J. Brandao. (2001). “Reactive Tabu Search and Variable Neighborhood Descent Applied to the Vehicle Routing Problem with Backhauls.” In Proceedings of MIC'2001, 931-636, Porto.
Cung, V.-D., S.L. Martins, C.C. Ribeiro, and C. Roucairol. (2002). “Strategies for the Parallel Implementation of Metaheuristics.” In C.C. Ribeiro and P. Hansen (eds.), Essays and Surveys in Metaheuristics. Boston: Kluwer, pp. 263–308.
Desaulniers, G., J. Desrosiers, A. Erdmann, M.M. Solomon, and F. Soumis. (2001). “VRP with Pickup and Delivery.” In P. Toth and D.Vigo (eds.), The Vehicle Routing Problem, Philadelphia: SIAM, pp. 225–242.
Dorigo, M. (1992). “Optimization, Learning, and Natural Algorithms,” Ph.D. Thesis, Politecnico di Milano.
Dorigo, M. and G. Di Caro. (1999). “The Ant Colony Optimization Meta-Heuristic.” D. Corne, In M. Dorigo and F. Glover (eds.), New Ideas in Optimization, London: McGraw-Hill, pp. 11–32.
Dorigo, M., G. Di Caro, and L.M. Gambardella. (1999). “Ant Algorithms for Discrete Optimization.” Artificial Life 5, 137–172.
Dorigo, M. and L.M. Gambardella. (1997). “Ant Colony System: A Cooperative Learning Approach to the Traveling Salesman Problem.” IEEE Transactions on Evolutionary Computation 1, 53–66.
Dorigo, M. and L.M. Gambardella. (1997). “Ant Colonies for the Traveling Salesman Problem.” BioSystems 43, 73–81.
Dorigo, M., V. Maniezzo, and A. Colorni. (1996). “The Ant System: Optimization by a Colony of Cooperating Agents.” IEEE Transactions on Systems, Man, and Cybernetics B26, 29–41.
Dorigo, M. and T. Stützle. (2003). “The Ant Colony Optimization Metaheuristic: Algorithms, Applications, and Advances.” In F. Glover and G. Kochenberger (eds.), Handbook of Metaheuristics. Boston: Kluwer, pp. 251–285.
Dueck, G. and T. Scheuer. (1990). “Threshold Accepting: A General Purpose Optimization Algorithm.” Journal of Computational Physics 90, 161–175.
Duhamel, C., J.-Y. Potvin, and J.-M. Rousseau. (1997). “A Tabu Search Heuristic for the Vehicle Routing Problem with Backhauls and Time Windows.” Transportation Science 31, 49–59.
Feo, T.A. and M.G.C. Resende. (1989). “A Probabilistic Heuristic for a Computationally Difficult Set Covering Problem.” Operations Research Letters 8, 67–71.
Feo, T.A. and M.G.C. Resende. (1995). “Greedy Randomized Adaptive Search Procedures.” Journal of Global Optimization 6, 109–133.
Festa, P. and M.C.G. Resende. (2002). “GRASP: An Annotated Bibliography.” In C.C. Ribeiro and P. Hansen (eds.), Essays and Surveys in Metaheuristics. Boston: Kluwer, pp. 325–368.
Fleurent, C. and F. Glover. (1999). “Improved Constructive Multistart Strategies for the Quadratic Assignment Problem using Adaptive Memory.” INFORMS Journal on Computing 11, 198–204.
Gambardella, L.-M., E.D. Taillard, and G. Agazzi. (1999). “MACS-VRPTW: A Multiple Ant Colony System for Vehicle Routing Problems with Time Windows.” In D. Corne, M. Dorigo and F. Glover (eds.), New Ideas in Optimization, London: McGraw-Hill, pp. 63–76.
Gambardella, L.-M., E.D. Taillard, and M. Dorigo. (1999). “Ant Colonies for the Quadratic Assignment Problem.” Journal of the Operational Research Society 50, 167–176.
Gendreau, M. (2003). “An Introduction to Tabu Search.” In F. Glover and G. Kochenberger (eds.), Handbook of Metaheuristics. Boston: Kluwer, pp. 37–54.
Gendreau, M. (2002). “Recent Advances in Tabu Search.” In C.C. Ribeiro and P. Hansen (eds.), Essays and Surveys in Metaheuristics, Boston: Kluwer, pp. 369–378.
Gendreau, M., F. Guertin, J.-Y. Potvin, and R. Séguin. (1998). “Neighborhood Search Heuristics for a Dynamic Vehicle Dispatching Problem with Pick-ups and Deliveries.” Technical Report CRT-98-10, Centre de recherche sur les transports, Université de Montréal.
Gendreau, M., F. Guertin, J.-Y. Potvin, and E.D. Taillard. (1999). “Parallel Tabu Search for Real-Time Vehicle Routing and Dispatching.” Transportation Science 33, 381–390.
Gendreau, M., G. Laporte, and J.-Y. Potvin. (1997). “Vehicle Routing: Modern Heuristics” E.H.L. Aarts and J.K. Lenstra (eds.), In Local Search in Combinatorial Optimization, Chichester: Wiley, pp. 311–336.
Gendreau, M., G. Laporte, and J.-Y. Potvin. (2002). “Metaheuristics for the Capacitated VRP” in The Vehicle Routing Problem, P. Toth and D. Vigo (eds.), Philadelphia: SIAM, pp. 129–154.
Gendreau, M., G. Laporte, and F. Semet. (2001). “A Dynamic Model and Parallel Tabu Search Heuristic for Real-Time Ambulance Relocation.” Parallel Computing 27, 1641–1653.
Gendron, B., J.-Y. Potvin, and P. Soriano. (1999). “Tabu Search with Exact Neighbor Evaluation for Multicommodity Location with Balancing Requirements.” INFOR 37, 255–270.
Glover, F. (1963). “Parametric Combinations of Local Job Shop Rules.” Chapter IV, ONR Research Memorandum no. 117, GSIA, Carnegie-Mellon University, Pittsburgh, U.S.A.
Glover, F. (1977). “Heuristics for Integer Programming using Surrogate Constraints.” Decision Sciences 8, 156–166.
Glover, F. (1986). “Future Paths for Integer Programming and Links to Artificial Intelligence.” Computers & Operations Research 13, 533–549.
Glover, F. (1989). “Tabu Search—Part I.” ORSA Journal on Computing 1, 190–206.
Glover, F. (1990). “Tabu Search—Part II.” ORSA Journal on Computing 2, 4–32.
Glover, F. (1996). “Ejection Chains, Reference Structures and Alternating Path Methods for the Traveling Salesman Problem.” Discrete Applied Mathematics 65, 223–253.
Glover, F. (1997). “Tabu Search and Adaptive Memory Programming—Advances, Applications and Challenges.” In R.S. Barr, R.V. Helgason and J.L. Kennington (eds.), Advances in Metaheuristics, Optimization and Stochastic Modeling Technologies. Boston: Kluwer, pp. 1–75.
Glover, F. and G.A. Kochenberger. (eds.) (2003). Handbook of Metaheuristics, Boston: Kluwer.
Glover, F. and M. Laguna. (1997). Tabu Search. Boston: Kluwer.
Glover, F. and M. Laguna. (2002). “Tabu Search.” In P.M. Pardalos and M.G.C. Resende (eds.), Handbook of Applied Optimization, New York: Oxford University Press, pp. 194–208.
Glover, F., M. Laguna, and R. Marti. (2000). “Fundamentals of Scatter Search and Path Relinking.” Control and Cybernetics 39, 653–684.
Glover, F., M. Laguna, E.D. Taillard, and D. de Werra. (eds.) (1993). Tabu Search, Annals of Operations 41.
Goldberg, D.E. (1989). Genetic Algorithms in Search, Optimization & Machine Learning, Reading: Addison-Wesley.
Hansen, P., B. Jaumard, N. Mladenović, and A. Parreira. (2000). “Variable Neighborhood Search for Weighted Maximum Satisfiability Problem.” Les Cahiers du GERAD, G-2000-62, Montréal.
Hansen, P. and N. Mladenović. (1999). “An Introduction to Variable Neighborhood Search.” In S. Voss, S. Martello, I.H. Osman and C. Roucairol (eds.), Meta-Heuristics: Advances and Trends in Local Search Paradigms for Optimization. Boston: Kluwer, pp. 433–458.
Hansen, P. and N. Mladenović. (2003). “Variable Neighborhood Search.” In F. Glover and G. Kochenberger (eds.), Handbook of Metaheuristics. Boston: Kluwer, pp. 145–184.
Hansen, P. and N. Mladenović. (2001). “Variable Neighborhood Search: Principles and Applications.” European Journal of Operational Research 130, 449–467.
Hansen, P. and N. Mladenović. (2002). “Developments of Variable Neighborhood Search.” In C.C. Ribeiro and P. Hansen (eds.), Essays and Surveys in Metaheuristics. Boston: Kluwer, pp. 415–440.
Hansen, P. and N. Mladenović. (2000). “Variable Neighborhood Search.” In P.M. Pardalos and M.G.C. Resende (eds.), Handbook of Applied Optimization. New York: Oxford University Press, pp. 221–234.
Hansen, P., N. Mladenović, and D. Perez-Brito. (2001). “Variable Neighborhood Decomposition Search.” Journal of Heuristics 7, 335–350.
Hart, J.P. and A.W. Shogan. (1987). “Semi-Greedy Heuristics: An Empirical Study.” Operations Research Letters 6, 107–114.
Henderson, D., S.H. Jacobson, and A.W. Johnson. (2003). “The Theory and Practice of Simulated Annealing.” In F. Glover and G. Kochenberger (eds.), Handbook of Metaheuristics. Boston: Kluwer, pp. 287–319.
Hjorring, C.A. (1995). “The Vehicle Routing Problem and Local Search Metaheuristics.” Ph.D. Thesis, University of Auckland.
Holland, J.H. (1975). Adaptation in Natural and Artificial Systems, The University of Michigan Press.
Johnson, D.S. and L.A. McGeoch. (1997). “The Traveling Salesman Problem: A Case Study.” In E.H.L. Aarts and J.K. Lenstra (eds.), Local Search in Combinatorial Optimization, Chichester: Wiley, pp. 215–310.
Kirkpatrick, S., C.D. Gelatt Jr., and M.P. Vecchi. (1983). “Optimization by Simulated Annealing.” Science 220, 671–680.
Kontoravdis, G. and J.F. Bard. (1995). “A GRASP for the Vehicle Routing Problem with Time Windows.” ORSA Journal on Computing 7, 10–23.
Koulamas, C., S.R. Antony, and R. Jaen. (1994). “A Survey of Simulated Annealing Applications to Operations Research Problems.” Omega 22, 41–56.
Laguna, M. (2002). “Scatter Search.” In P.M. Pardalos and M.G.C. Resende (eds.), Handbook of Applied Optimization. New York: Oxford University Press, pp. 183–193.
Laguna, M. and R. Martí. (1999). “GRASP and Path Relinking for 2-Layer Straight Line Crossing Minimization.” INFORMS Journal on Computing 11, 44–52.
Land, M. (1998). “Evolutionary Algorithms with Local Search for Combinatorial Optimization.” Ph.D. Dissertation, University of California, San Diego.
Laporte, G. and I.H. Osman. (eds.) (1996). “Metaheuristics in Combinatorial Optimization.” Annals of Operations Research 63.
LeBouthillier, A., T.G. Crainic, and R. Keller. (2000). “Parallel Cooperative Evolutionary Algorithm for Vehicle Routing Problems with Time Windows.” In Proceedings of Odysseus 2000, Chania, pp. 78–81.
Leclerc, F. and J.-Y. Potvin. (1997). “Genetic Algorithms for Vehicle Dispatching.” International Transactions in Operational Research 4, 391–400.
Lelouarn, F.-X., M. Gendreau, and J.-Y. Potvin. (2004). “GENI Ants for the Traveling Salesman Problem.” Annals of Operations Research 131, 187–201.
Lokketangen, A. (2002). “Heuristics for 0-1 Mixed Integer Programming.” In P.M. Pardalos and M.G.C. Resende (eds.), Handbook of Applied Optimization, New York: Oxford University Press, pp. 474–477.
Lokketangen, A. and F. Glover. (1998). “Solving Zero-One Mixed Integer Programming Problems using Tabu Search.” European Journal of Operational Research 106, 624–658.
Lokketangen, A. and F. Glover. (1999). “Candidate List and Exploration Strategies for Solving 0/1 MIP Problems using a Pivot Neighborhood.” In S. Voss, S. Martello, I.H. Osman, C. Roucairol (eds.), Meta-Heuristics: Advances and Trends in Local Search Paradigms for Optimization. Boston: Kluwer, pp. 141–154.
Lorenço, H.R., O. Martin, and T. Stützle. (2003). “Iterated Local Search.” In F. Glover and G. Kochenberger (eds.), Handbook of Metaheuristics. Boston: Kluwer, pp. 321–353.
Maniezzo, V. and A. Carbonaro. (2002). “Ant Colony Optimization: An Overview.” In C.C. Ribeiro and P. Hansen (eds.), Essays and Surveys in Metaheuristics, Boston: Kluwer, pp. 469–492.
Martins, S.L., 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.
Michalewicz, Z. (1996). Genetic Algorithms + Data Structures − Evolution Programs. Third Edition, Berlin: Springer.
Middendorf, M., F. Reischle, and H. Schmeck. (2002). “Multi Colony Ant Algorithms.” Journal of Heuristics 8, 305–320.
Mladenović, N. and P. Hansen. (1997). “Variable Neighborhood Search.” Computers & Operations Research 24, 1097–1100.
Moscato, P. (1999). “Memetic Algorithms: A short introduction.” In D. Corne, M. Dorigo and F. Glover (eds.), New Ideas in Optimization, London: McGraw-Hill, pp. 219–234.
Moscato, P. (2002). “Memetic Algorithms.” In P.M. Pardalos and M.G.C. Resende (eds.), Handbook of Applied Optimization, New York: Oxford University Press, pp. 157–167.
Mühlenbein, H. (1992). “How Genetic Algorithms Really Work: Mutation and Hill-Climbing.” In R. Männer and B. Manderick (eds.), Parallel Problem Solving from Nature 2. North-Holland, Amsterdam, pp. 15–26.
Mühlenbein, H. (1997). “Genetic Algorithms.” In Local Search in Combinatorial Optimization. E.H.L. Aarts and J.K. Lenstra (eds.), Chichester: Wiley, pp. 137–171.
Osman, I.H. (1993). “Metastrategy Simulated Annealing and Tabu Search Algorithms for the Vehicle Routing.” Annals of Operations Research 41, 421–452.
Osman, I.H. and J.P. Kelly. (eds.) (1996). Meta-Heuristics: Theory & Applications. Boston: Kluwer.
Osman, I.H. and G. Laporte. (1996). “Metaheuristics: A Bibliography.” Annals of Operations Research 63, 513–623.
Pardalos, P.M. and M.G.C. Resende. (eds.) (2002). Handbook of Applied Optimization, Chapter 3.6 on Metaheuristics. New York: Oxford University Press, pp. 123-234.
Pitsoulis, L.S. and M.G.C. Resende. (2002). “Greedy Randomized Adaptive Search Procedures.” In P.M. Pardalos and M.G.C. Resende (eds.), Handbook of Applied Optimization, New York: Oxford University Press, pp. 168–182.
Potvin, J.-Y. (1996). “Genetic Algorithms for the Traveling Salesman Problem.” Annals of Operations Research 63, 339–370.
Potvin, J.-Y., C. Duhamel, and F. Guertin. (1996). “A Genetic Algorithm for Vehicle Routing with Backhauling.” Applied Intelligence 6, 345–355.
Prais, M. and C.C. Ribeiro. (2000). “Reactive GRASP: An Application to a Matrix Decomposition Problem.” INFORMS Journal on Computing 12, 164–176.
Prais, M. and C.C. Ribeiro. (2000). “Parameter Variation in GRASP procedures.” Investigación Operativa 9, 1–20.
Preux, P. and E.G. Talbi. (1999). “Towards hybrid evolutionary algorithms.” International Transactions in Operational Research 6, 557–570.
Rego, C. (2001). “Node Ejection Chains for the Vehicle Routing Problem: Sequential and Parallel Algorithms.” Parallel Computing 27, 201–222.
Rego, C. and F. Glover. (2001). “Local Search and Metaheuristics for the Traveling Salesman Problem.” Technical Report HCES-07-01, Hearin Center for Enterprise Science, The University of Mississipi.
Rego, C. and C. Roucairol. (1996). “A Parallel Tabu Search Algorithm Using Ejection Chains for the Vehicle Routing Problem.” In I.H. Osman and J.P. Kelly (eds.), Metaheuristics: Theory and Applications. Boston: Kluwer, pp. 661–675.
Reeves, C.R. (2003). “Genetic Algorithms.” In F. Glover and G. Kochenberger (eds.), Hanbook of Metaheuristics, in Handbook of Metaheuristics. Boston: Kluwer, pp. 55–82.
Reeves, C.R. (ed) (1993). Modern Heuristic Techniques for Combinatorial Problems. Oxford: Blackwell.
Reeves, C.R. and T. Yamada. (1998). “Genetic Algorithms, Path Relinking and the Flowshop Sequencing Problem.” Evolutionary Computation 6, 45–60.
Resende, M.G.C. and C.C. Ribeiro. (2003). “Greedy Randomized Adaptive Search Procedures.” In F. Glover and G. Kochenberger (eds.), Handbook of Metaheuristics. Boston: Kluwer, pp. 219–249.
Ribeiro, C.C. and P. Hansen. (eds.) (2002). Essays and Surveys in Metaheuristics. Boston: Kluwer.
Rochat, Y. and E.D. Taillard. (1995). “Probabilistic Diversification and Intensification in Local Search for Vehicle Routing.” Journal of Heuristics 1, 147–167.
Rousseau, L.-M., M. Gendreau, and G. Pesant. (2002). “Using Constraint-Based Operators with Variable Neighborhood Search to Solve the Vehicle Routing Problem with Time Windows” Journal of Heuristics 8, 43–58.
Stützle, T. and M. Dorigo. (1999). “ACO Algorithms for the Traveling Salesman Problem”, In K. Miettinen, M. Makela, P. Neittaanmaki and J. Periaux (eds.), Evolutionary Algorithms in Engineering and Computer Science, Chichester: Wiley.
Stützle, T. and H.H. Hoos. (1998). “Improvements on the Ant System: Introducing the MAX-MIN Ant System.” In G.D. Smith, N.C. Steele and R.F. Albrecht (eds.), Artificial Neural Networks and Genetic Algorithms. Berlin: Springer Verlag, pp. 245–249.
Stützle, T. and H.H. Hoos. (2000). “MAX-MIN Ant System.” Future Generation Computer Systems Journal 16, 889–914.
Sun, M., J.E. Aronson, P.G. McKeown, and D. Drinka. (1998). “A Tabu Search Heuristic for the Fixed Charge Transportation Problem.” European Journal of Operational Research 106, 441–456.
Taillard, E.D. (2002). “Ant Systems.” In P.M. Pardalos and M.G.C. Resende (eds.), Handbook of Applied Optimization, New York: Oxford University Press, pp. 130–137.
Taillard, E.D., P. Badeau, M. Gendreau, F. Guertin, and J.-Y. Potvin. (1997). “A Tabu Search Heuristic for the Vehicle Routing Problem with Soft Time Windows.” Transportation Science 31, 170–186.
Taillard, E.D., L.-M. Gambardella, M. Gendreau, and J.-Y. Potvin. (2001). “Adaptive Memory Programming: A Unified View of Metaheuristics.” European Journal of Operational Research 135, 1–16.
Talbi, E.G. (2002). “A Taxonomy of Hybrid Metaheuristics.” Journal of Heuristics 8, 541–564.
Toth, P. and D. Vigo. (1997). “Heuristic Algorithms for the Handicapped Persons Transportation Problem.” Transportation Science 31, 60–71.
Toth, P. and D. Vigo. (2003). “The Granular Tabu Search and Its Application to the Vehicle-Routing Problem.” INFORMS Journal on Computing 15, 333–346.
Verhoeven, M.G.A. and E.H.L. Aarts. (1996). “Parallel Local Search Techniques.” Journal of Heuristics 1, 43–65.
Voss, S., S. Martello, I.H. Osman, and C. Roucairol. (eds.) (1999). Meta-Heuristics: Advances and Trends in Local Search Paradigms for Optimization. Boston: Kluwer.
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Gendreau, M., Potvin, JY. Metaheuristics in Combinatorial Optimization. Ann Oper Res 140, 189–213 (2005). https://doi.org/10.1007/s10479-005-3971-7
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DOI: https://doi.org/10.1007/s10479-005-3971-7