A skewed general variable neighborhood search algorithm with fixed threshold for the heterogeneous fleet vehicle routing problem

This article considers the heterogeneous fleet vehicle routing problem, as a variant of a well-known transportation problem: the vehicle routing problem. In order to solve this particular routing problem, a variable neighborhood search with a threshold accepting mechanism is developed and implemented. The performance of the algorithm was compared to other algorithms and tested on datasets from the available literature. Computational results show that our proposed algorithm is competitive and generates new best solutions.

[1]  Jésica de Armas,et al.  Variable Neighborhood Search for a Dynamic Rich Vehicle Routing Problem with time windows , 2015, Comput. Ind. Eng..

[2]  Said Salhi,et al.  A multi-level composite heuristic for the multi-depot vehicle fleet mix problem , 1997 .

[3]  P. Hansen,et al.  Variable neighbourhood search: methods and applications , 2010, Ann. Oper. Res..

[4]  José Brandão,et al.  A tabu search algorithm for the heterogeneous fixed fleet vehicle routing problem , 2011, Comput. Oper. Res..

[5]  Christian Prins,et al.  Efficient Heuristics for the Heterogeneous Fleet Multitrip VRP with Application to a Large-Scale Real Case , 2002, J. Math. Model. Algorithms.

[6]  Banu Soylu,et al.  A general variable neighborhood search heuristic for multiple traveling salesmen problem , 2015, Comput. Ind. Eng..

[7]  Roberto Baldacci,et al.  A unified exact method for solving different classes of vehicle routing problems , 2009, Math. Program..

[8]  G. Clarke,et al.  Scheduling of Vehicles from a Central Depot to a Number of Delivery Points , 1964 .

[9]  Shuguang Liu.  A hybrid population heuristic for the heterogeneous vehicle routing problems , 2013 .

[10]  Dong-wan Tcha,et al.  A column generation approach to the heterogeneous fleet vehicle routing problem , 2007, Comput. Oper. Res..

[11]  Puca Huachi Vaz Penna,et al.  An Iterated Local Search heuristic for the Heterogeneous Fleet Vehicle Routing Problem , 2013, J. Heuristics.

[12]  Christos D. Tarantilis,et al.  A threshold accepting metaheuristic for the heterogeneous fixed fleet vehicle routing problem , 2004, Eur. J. Oper. Res..

[13]  Éric D. Taillard,et al.  A heuristic column generation method for the heterogeneous fleet VRP , 1999, RAIRO Oper. Res..

[14]  Pierre Hansen,et al.  Variable Neighborhood Search , 2018, Handbook of Heuristics.

[15]  Saïd Salhi,et al.  A variable neighborhood-based heuristic for the heterogeneous fleet vehicle routing problem , 2009, Eur. J. Oper. Res..

[16]  Billy E. Gillett,et al.  A Heuristic Algorithm for the Vehicle-Dispatch Problem , 1974, Oper. Res..

[17]  K. H. Kim,et al.  A heuristic for vehicle fleet mix problem using tabu search and set partitioning , 2008, J. Oper. Res. Soc..

[18]  José Brandão,et al.  A deterministic tabu search algorithm for the fleet size and mix vehicle routing problem , 2009, Eur. J. Oper. Res..

[19]  F. Glover.  HEURISTICS FOR INTEGER PROGRAMMING USING SURROGATE CONSTRAINTS , 1977 .

[20]  Shen Lin.  Computer solutions of the traveling salesman problem , 1965 .

[21]  Alice E. Smith,et al.  The vehicle loading problem with a heterogeneous transport fleet , 2016, Comput. Ind. Eng..

[22]  Xiangyong Li,et al.  An adaptive memory programming metaheuristic for the heterogeneous fixed fleet vehicle routing problem , 2010 .

[23]  Vitor Nazário Coelho,et al.  An ILS-based algorithm to solve a large-scale real heterogeneous fleet VRP with multi-trips and docking constraints , 2016, Eur. J. Oper. Res..

[24]  Christian Prins,et al.  Two memetic algorithms for heterogeneous fleet vehicle routing problems , 2009, Eng. Appl. Artif. Intell..

[25]  Jaime Cerdá,et al.  A cluster-based optimization approach for the multi-depot heterogeneous fleet vehicle routing problem with time windows , 2007, Eur. J. Oper. Res..

[26]  Bruce L. Golden,et al.  A record-to-record travel algorithm for solving the heterogeneous fleet vehicle routing problem , 2007, Comput. Oper. Res..

[27]  Christos D. Tarantilis,et al.  A flexible adaptive memory-based algorithm for real-life transportation operations: Two case studies from dairy and construction sector , 2007, Eur. J. Oper. Res..

[28]  Bruce L. Golden,et al.  The fleet size and mix vehicle routing problem , 1984, Comput. Oper. Res..

[29]  Gilbert Laporte,et al.  Thirty years of heterogeneous vehicle routing , 2016, Eur. J. Oper. Res..

[30]  Nenad Mladenović,et al.  Editorial: Special issue: Applications of variable neighbourhood search , 2016 .

[31]  Donya Rahmani,et al.  A stable reactive approach in dynamic flexible flow shop scheduling with unexpected disruptions: A case study , 2016, Comput. Ind. Eng..

[32]  Puca Huachi Vaz Penna,et al.  A hybrid algorithm for the Heterogeneous Fleet Vehicle Routing Problem , 2012, Eur. J. Oper. Res..

[33]  Dušan Teodorović,et al.  THE MIXED FLEET STOCHASTIC VEHICLE ROUTING PROBLEM. , 1995 .

[34]  CD Tarantilis,et al.  A list based threshold accepting metaheuristic for the heterogeneous fixed fleet vehicle routing problem , 2003, J. Oper. Res. Soc..

[35]  Hande Yaman.  Formulations and Valid Inequalities for the Heterogeneous Vehicle Routing Problem , 2006, Math. Program..