A Variable Neighborhood Search Integrated in the POPMUSIC Framework for Solving Large Scale Vehicle Routing Problems

This paper presents a heuristic approach based on the POPMUSIC framework for solving large scale Multi Depot Vehicle Routing Problems with Time Windows derived from real world data. A Variable Neighborhood Search is used as the optimizer in the POPMUSIC framework. POPMUSIC is a new decomposition approach for large scale problems. We compare our method with a pure VNS approach and a Memetic Algorithm integrated in a POPMUSIC framework. The computational results show that the integration of VNS in the POPMUSIC framework outperforms the other existing methods. Furthermore different distance metrics for the decomposition strategies are presented and the results are reported and analyzed.

[1]  Gilbert Laporte,et al.  A unified tabu search heuristic for vehicle routing problems with time windows , 2001, J. Oper. Res. Soc..

[2]  Jörg Homberger,et al.  A two-phase hybrid metaheuristic for the vehicle routing problem with time windows , 2005, Eur. J. Oper. Res..

[3]  Silvano Martello,et al.  Meta-Heuristics: Advances and Trends in Local Search Paradigms for Optimization , 2012 .

[4]  Olli Bräysy,et al.  Active-guided evolution strategies for large-scale capacitated vehicle routing problems , 2007, Comput. Oper. Res..

[5]  Nenad Mladenović,et al.  An Introduction to Variable Neighborhood Search , 1997 .

[6]  Richard F. Hartl,et al.  D-Ants: Savings Based Ants divide and conquer the vehicle routing problem , 2004, Comput. Oper. Res..

[7]  Michel Gendreau,et al.  An efficient variable neighborhood search heuristic for very large scale vehicle routing problems , 2007, Comput. Oper. Res..

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

[9]  Éric D. Taillard,et al.  Popmusic — Partial Optimization Metaheuristic under Special Intensification Conditions , 2002 .

[10]  Éric D. Taillard,et al.  POPMUSIC for a real-world large-scale vehicle routing problem with time windows , 2009, J. Oper. Res. Soc..

[11]  Richard F. Hartl,et al.  A variable neighborhood search heuristic for periodic routing problems , 2009, Eur. J. Oper. Res..

[12]  Richard F. Hartl,et al.  A Variable Neighborhood Search for the Multi Depot Vehicle Routing Problem with Time Windows , 2004, J. Heuristics.

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

[14]  Olli Bräysy,et al.  Active guided evolution strategies for large-scale vehicle routing problems with time windows , 2005, Comput. Oper. Res..

[15]  C. Ribeiro,et al.  Essays and Surveys in Metaheuristics , 2002, Operations Research/Computer Science Interfaces Series.

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

[17]  Richard F. Hartl,et al.  A variable neighborhood search for the capacitated arc routing problem with intermediate facilities , 2008, J. Heuristics.

[18]  Krzysztof Fleszar,et al.  A variable neighbourhood search algorithm for the open vehicle routing problem , 2009, Eur. J. Oper. Res..

[19]  Michel Gendreau,et al.  A Tabu Search Heuristic for the Vehicle Routing Problem with Soft Time Windows , 1997, Transp. Sci..