Vehicle routing problem with deliveries and pickups: Modelling issues and meta-heuristics solution approaches

The paper investigates a class of extensions to the vehicle routing problem. Different problem versions – some well-known, some more recent – are explained and placed in a taxonomy. A central focus of the paper is on the assumptions generally made in the literature and on the benefits of not making too restrictive assumptions. Research issues on novel problem classes are highlighted. An Integer Linear Programming (ILP) formulation is also presented. It is also shown how this formulation can be adapted to cater for other problem versions. This paper also discusses various solution methodologies including meta-heuristics to solve the models and what more is needed the vehicle routing problem.

[1]  Manuel Iori,et al.  Routing problems with loading constraints , 2010 .

[2]  José Brandão,et al.  Metaheuristics applied to mixed and simultaneous extensions of vehicle routing problems with backhauls , 2005, J. Oper. Res. Soc..

[3]  Barrie M. Baker,et al.  A visual interactive approach to the classical and mixed vehicle routing problems with backhauls , 2009 .

[4]  James P. Kelly,et al.  Large-scale controlled rounding using tabu search with strategic oscillation , 1993, Ann. Oper. Res..

[5]  Said Salhi,et al.  An investigation into a new class of vehicle routing problem with backhauls , 2002 .

[6]  Roberto Battiti,et al.  The Reactive Tabu Search , 1994, INFORMS J. Comput..

[7]  Giovanni Righini,et al.  Heuristic algorithms for the vehicle routing problem with simultaneous pick-up and delivery , 2007, Comput. Oper. Res..

[8]  Said Salhi,et al.  A cluster insertion heuristic for single and multiple depot vehicle routing problems with backhauling , 1999, J. Oper. Res. Soc..

[9]  Saïd Salhi,et al.  Heuristic algorithms for single and multiple depot vehicle routing problems with pickups and deliveries , 2005, Eur. J. Oper. Res..

[10]  Xiaolei Ma,et al.  Vehicle Routing Problem , 2013 .

[11]  Gábor Nagy,et al.  A heuristic method for the vehicle routing problem with mixed deliveries and pickups , 2008, J. Sched..

[12]  Subrata Mitra,et al.  An Algorithm for the generalized Vehicle Routing Problem with Backhauling , 2005, Asia Pac. J. Oper. Res..

[13]  Vittorio Maniezzo,et al.  Matheuristics: Hybridizing Metaheuristics and Mathematical Programming , 2009 .

[14]  Richard F. Hartl,et al.  A survey on pickup and delivery problems , 2008 .

[15]  Ibrahim H. Osman,et al.  Tabu search variants for the mix fleet vehicle routing problem , 2002, J. Oper. Res. Soc..

[16]  N. Wassan Reactive tabu adaptive memory programming search for the vehicle routing problem with backhauls , 2007, J. Oper. Res. Soc..

[17]  Fermín Alfredo Tang Montané,et al.  A tabu search algorithm for the vehicle routing problem with simultaneous pick-up and delivery service , 2006, Comput. Oper. Res..

[18]  Irina Gribkovskaia,et al.  MODELS FOR PICK-UP AND DELIVERIES FROM DEPOTS WITH LASSO SOLUTIONS , 2001 .

[19]  Karl F. Doerner,et al.  Survey: Matheuristics for Rich Vehicle Routing Problems , 2010, Hybrid Metaheuristics.

[20]  Gilbert Laporte,et al.  Lasso solution strategies for the vehicle routing problem with pickups and deliveries , 2009, Eur. J. Oper. Res..

[21]  Micael Gallego,et al.  Tabu search with strategic oscillation for the maximally diverse grouping problem , 2013, J. Oper. Res. Soc..

[22]  Said Salhi,et al.  The Fleet Size and Mix Vehicle Routing Problem with Backhauls: Formulation and Set Partitioning-based Heuristics , 2013 .

[23]  Daniele Vigo,et al.  The Traveling Salesman Problem with Pickups, Deliveries, and Handling Costs , 2010, Transp. Sci..

[24]  Subrata Mitra,et al.  A parallel clustering technique for the vehicle routing problem with split deliveries and pickups , 2008, J. Oper. Res. Soc..

[25]  Nicos Christofides,et al.  An Algorithm for the Vehicle-dispatching Problem , 1969 .

[26]  Bruce L. Golden,et al.  VEHICLE ROUTING WITH BACKHAULS: MODELS, ALGORITHMS, AND CASE STUDIES. VEHICLE ROUTING: METHODS AND STUDIES. STUDIES IN MANAGEMENT SCIENCE AND SYSTEMS - VOLUME 16 , 1988 .

[27]  Shoshana Anily,et al.  The vehicle-routing problem with delivery and back-haul options , 1996 .

[28]  Maria Grazia Speranza,et al.  Vehicle routing problems with split deliveries , 2012, Int. Trans. Oper. Res..

[29]  David Pisinger,et al.  A unified heuristic for a large class of Vehicle Routing Problems with Backhauls , 2006, Eur. J. Oper. Res..

[30]  Gilbert Laporte,et al.  Static pickup and delivery problems: a classification scheme and survey , 2007 .

[31]  Said Salhi,et al.  An ant system algorithm for the mixed vehicle routing problem with backhauls , 2004 .

[32]  Marc Reimann,et al.  Comparing backhauling strategies in vehicle routing using Ant Colony Optimization , 2006, Central Eur. J. Oper. Res..

[33]  Sophie N. Parragh,et al.  A survey on pickup and delivery problems Part I : Transportation between customers and depot , 2007 .

[34]  Maria Grazia Speranza,et al.  The Vehicle Routing Problem with Divisible Deliveries and Pickups , 2015, Transp. Sci..

[35]  J-F Chen,et al.  Vehicle routing problem with simultaneous deliveries and pickups , 2006, J. Oper. Res. Soc..

[36]  Martin W. P. Savelsbergh,et al.  An Optimization-Based Heuristic for the Split Delivery Vehicle Routing Problem , 2008, Transp. Sci..

[37]  José Brandão A new tabu search algorithm for the vehicle routing problem with backhauls , 2006, Eur. J. Oper. Res..

[38]  Gilbert Laporte,et al.  General solutions to the single vehicle routing problem with pickups and deliveries , 2007, Eur. J. Oper. Res..

[39]  Gilbert Laporte,et al.  The single vehicle routing problem with deliveries and selective pickups , 2008, Comput. Oper. Res..

[40]  Gur Mosheiov,et al.  The Travelling Salesman Problem with pick-up and delivery , 1994 .

[41]  Arne Løkketangen,et al.  Creating lasso-solutions for the traveling salesman problem with pickup and delivery by Tabu search , 2006, Central Eur. J. Oper. Res..

[42]  Saïd Salhi,et al.  The vehicle routing problem with restricted mixing of deliveries and pickups , 2013, J. Sched..

[43]  Paolo Toth,et al.  Models, relaxations and exact approaches for the capacitated vehicle routing problem , 2002, Discret. Appl. Math..