An improved ant colony optimization for vehicle routing problem.

*(English)*Zbl 1156.90434Summary: The vehicle routing problem (VRP), a well-known combinatorial optimization problem, holds a central place in logistics management. This paper proposes an improved ant colony optimization (IACO), which possesses a new strategy to update the increased pheromone, called ant-weight strategy, and a mutation operation, to solve VRP. The computational results for fourteen benchmark problems are reported and compared to those of other metaheuristic approaches.

##### MSC:

90C27 | Combinatorial optimization |

90C59 | Approximation methods and heuristics in mathematical programming |

##### Keywords:

vehicle routing problem; improved ant colony optimization; ant-weight strategy; mutation operation##### Software:

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\textit{B. Yu} et al., Eur. J. Oper. Res. 196, No. 1, 171--176 (2009; Zbl 1156.90434)

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##### References:

[1] | Baker, B.M.; Ayechew, M.A., A genetic algorithm for the vehicle routing problem, Computers & operations research, 30, 787-800, (2003) · Zbl 1026.90013 |

[2] | Beasley, J.E., OR-library: distributing test problems by electronic mail, Journal of the operational research society, 41, 1069-1072, (1990) |

[3] | Bell, J.E.; McMullen, P.R., Ant colony optimization techniques for the vehicle routing problem, Advanced engineering informatics, 1, 8, 41-48, (2004) |

[4] | Brandao, J.; Mercer, A., A tabu search algorithm for the multi-trip vehicle routing and scheduling problem, European journal of operational research, 100, 180-191, (1997) · Zbl 0947.90578 |

[5] | Bullnheimer, B., Hartl, R.F., Strauss, C., 1997. Applying the ant system to the vehicle routing problem. In: Second Metaheuristics International Conference, MICâ€™97, Sophia-Antipolis, France. · Zbl 0970.90019 |

[6] | Bullnheimer, B.; Hartl, R.F.; Strauss, C., An improved ant system algorithm for the vehicle routing problem, Annals of operations research, 89, 319-328, (1999) · Zbl 0937.90125 |

[7] | Chen, C.H.; Ting, C.J., An improved ant colony system algorithm for the vehicle routing problem, Journal of the Chinese institute of industrial engineers, 23, 2, 115-126, (2006) |

[8] | Chiang, W.C.; Russell, R., Simulated annealing meta-heuristics for the vehicle routing problem with time windows, Annals of operations research, 93, 3-27, (1996) · Zbl 0849.90054 |

[9] | Colorni, A.; Dorigo, M.; Maniezzo, V.; Trubian, M., Ant system for job-shop scheduling, Jorbel – belgian journal of operations research statistics and computer science, 34, 1, 39-53, (1994) · Zbl 0814.90047 |

[10] | Doerner, K.F.; Gronalt, M.; Hartl, R.F.; Reimann, M.; Strauss, C.; Stummer, M., Savings ants for the vehicle routing problem, Applications of evolutionary computing, (2002), Springer Berlin |

[11] | Doerner, K.F., Hartl, R.F., Kiechle, G., Lucka, M., Reimann, M., 2004. Parallel ant systems for the capacitated vehicle routing problem. In: Evolutionary Computation in Combinatorial Optimization: 4th European Conference, EvoCOP 2004, LNCS 3004, pp. 72-83. · Zbl 1177.90338 |

[12] | Dongarra, J., 2001. Performance of various computer using standard linear equations software. Report CS-89-85, University of Tennessee. |

[13] | Dorigo, M.; Maniezzo, V.; Colorni, A., Ant system: optimization by a colony of cooperating agents, IEEE transactions on systems, mans, and cybernetics, 1, 26, 29-41, (1996) |

[14] | Gambardella, L., Taillard, E., Dorigo, M., 1997. Ant Colonies for the QAP, Technical Report 97-4, IDSIA, Lugano, Switzerland. · Zbl 1054.90621 |

[15] | Gendreau, M.; Laporte, G.; Musaraganyi, C.; Taillard, E.D., A tabu search heuristic for the heterogeneous fleet vehicle routing problem, Computers & operations research, 26, 1153-1173, (1999) · Zbl 0967.90019 |

[16] | Koulamas, C.; Antony, S.; Jaen, R., A survey of simulated annealing applications to operations research problems, Omega, 22, 1, 41-56, (1994) |

[17] | Mazzeo, S.; Loiseau, I., An ant colony algorithm for the capacitated vehicle routing, Electronic notes in discrete mathematics, 18, 181-186, (2004) · Zbl 1075.90568 |

[18] | Osman, I.H., Metastrategy simulated annealing and tabu search algorithms for the vehicle routing problem, Annals of operations research, 41, 421-451, (1993) · Zbl 0775.90153 |

[19] | Osman, M.S.; Abo-Sinna, M.A.; Mousa, A.A., An effective genetic algorithm approach to multiobjective routing problems (morps), Applied mathematics and computation, 163, 769-781, (2005) · Zbl 1060.65606 |

[20] | Peng, W., Tong, R.F., Tang, M., Dong, J.X., 2005. Ant colony search algorithms for optimal packing problem. ICNC 2005, LNCS 3611, pp. 1229-1238. |

[21] | Prins, C., A simple and effective evolutionary algorithm for the vehicle routing problem, Computers & operations research, 31, 1985-2002, (2004) · Zbl 1100.90504 |

[22] | Reimann, M.; Stummer, M.; Doerner, K., A savings based ant system for the vehicle routing problem, () |

[23] | Renaud, J.; Laporte, G.; Boctor, F.F., A tabu search heuristic for the multi-depot vehicle routing problem, Computers & operations research, 23, 3, 229-235, (1996) · Zbl 0855.90055 |

[24] | Rochat, Y.; Taillard, R.E., Probabilistic diversification and intensification in local search for vehicle routing, Journal of heuristics, 1, 147-167, (1995) · Zbl 0857.90032 |

[25] | Schoonderwoerd, R.; Holland, O.; Bruten, J.; Rothkrantz, L., Ant-based load balancing in telecommunications networks, Adaptive behavior, 5, 2, 169-207, (1997) |

[26] | Semet, F.; Taillard, E.D., Solving real-life vehicle routing problems efficiently using taboo search, Annals of operations research, 41, 469-488, (1993) · Zbl 0775.90156 |

[27] | Taillard, R.E., Parallel iterative search methods for vehicle routing problems, Networks, 23, 661-673, (1993) · Zbl 0804.90045 |

[28] | Tavakkoli-Moghaddam, R.; Safaei, N.; Gholipour, Y., A hybrid simulated annealing for capacitated vehicle routing problems with the independent route length, Applied mathematics and computation, 176, 445-454, (2006) · Zbl 1149.90312 |

[29] | Thangiah, S.R., Osman, I.H., Sun, T., 1994. Hybrid genetic algorithm, simulated annealing and tabu search methods for vehicle routing problems with time windows. Technical Report 27, Computer Science Department, Slippery Rock University. |

[30] | Yang, Z.Z.; Yu, B.; Cheng, C.T., A parallel ant colony algorithm for bus network optimization, Computer-aided civil and infrastructure engineering, 22, 44-55, (2007) |

[31] | Yu, B., Yang, Z.Z., 2007. A dynamic holding strategy in public transit systems with real-time information. Applied Intelligence, (accepted for publication), doi:10.1007/s10489-007-0112-9. |

[32] | Yu, B.; Yang, Z.Z.; Cheng, C.T., Optimizing the distribution of shopping centers with parallel genetic algorithm, Engineering applications of artificial intelligence, 20, 2, 215-223, (2007) |

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