Robust Vehicle Routing Solutions to Manage Time Windows in the Case of Uncertain Travel Times

The vehicle routing problem requires mostly meta-heuristics to find approximate solutions. Congestion makes it hard for planners to find good routes because travel times are uncertain. The problem is handled by building scenarios with a range of possible travel times to represent the uncertainty. The main goal is to find a robust solution, which performs “well” in bad scenarios. The experiments show that robust results are obtained in a computationally reasonable time, which means that the concept can be used by practitioners. Most applications are commercial, but also social applications exist. An earthquake or a flood might lead to road disruptions. Higher traffic delays appear due to lower speed on flooded roads or due to time spent on finding alternative routes. Routing like evacuation of wounded or delivery of food is hardly studied. The work is inspired by the 2011 flooding in Thailand.

[1]  Peter A. Rogerson,et al.  A logistics model for emergency supply of critical items in the aftermath of a disaster , 2011 .

[2]  Michel Gendreau,et al.  A guide to vehicle routing heuristics , 2002, J. Oper. Res. Soc..

[3]  Fred Glover,et al.  Tabu Search - Part II , 1989, INFORMS J. Comput..

[4]  Ted K. Ralphs,et al.  Parallel branch and cut for vehicle routing , 1995 .

[5]  Gilbert Laporte,et al.  Classical and modern heuristics for the vehicle routing problem , 2000 .

[6]  Dimitris Bertsimas,et al.  A Vehicle Routing Problem with Stochastic Demand , 1992, Oper. Res..

[7]  Gilbert Laporte,et al.  An Exact Algorithm for the Vehicle Routing Problem with Stochastic Demands and Customers , 1995, Transp. Sci..

[8]  Jörg Homberger,et al.  Two Evolutionary Metaheuristics For The Vehicle Routing Problem With Time Windows , 1999 .

[9]  Gilbert Laporte,et al.  Designing collection routes through bank branches , 1991, Comput. Oper. Res..

[10]  Ted K. Ralphs,et al.  Parallel branch and cut for capacitated vehicle routing , 2003, Parallel Comput..

[11]  Gerrit K. Janssens,et al.  A local search heuristic for the pre- and end-haulage of intermodal container terminals , 2009, Comput. Oper. Res..

[12]  Michael A. Haughton.  The performance of route modification and demand stabilization strategies in stochastic vehicle routing , 1998 .

[13]  Paolo Toth,et al.  The Vehicle Routing Problem , 2002, SIAM monographs on discrete mathematics and applications.

[14]  Shiwei He,et al.  Robust Optimization Model and Algorithm for Logistics Center Location and Allocation under Uncertain Environment , 2009 .

[15]  K. Sörensen,et al.  A framework for robust and flexible optimisation using metaheuristics with applications in supply chain design , 2003 .

[16]  Kay Chen Tan,et al.  An investigation on noise-induced features in robust evolutionary multi-objective optimization , 2010, Expert Syst. Appl..

[17]  Mark A. Turnquist,et al.  Pre-positioning and dynamic delivery planning for short-term response following a natural disaster , 2012 .

[18]  Gerrit K. Janssens,et al.  Time Petri nets as an evaluation tool for handling travel time uncertainty in vehicle routing solutions , 2009, Expert Syst. Appl..

[19]  Yafeng Yin,et al.  Production , Manufacturing and Logistics Robust improvement schemes for road networks under demand uncertainty , 2009 .

[20]  David Simchi-Levi,et al.  A New Generation of Vehicle Routing Research: Robust Algorithms, Addressing Uncertainty , 1996, Oper. Res..

[21]  Robert J. Vanderbei,et al.  Robust Optimization of Large-Scale Systems , 1995, Oper. Res..

[22]  Nicola Secomandi,et al.  A Rollout Policy for the Vehicle Routing Problem with Stochastic Demands , 2001, Oper. Res..

[23]  Gerrit K. Janssens,et al.  Container Drayage Operations at Intermodal Terminals: A Deterministic Annealing Approach , 2013 .

[24]  Dean A. Jones,et al.  Robust optimization for fleet planning under uncertainty , 2003 .

[25]  Gilbert Laporte,et al.  The Vehicle Routing Problem with Stochastic Travel Times , 1992, Transp. Sci..

[26]  Kaan Ozbay,et al.  A Secure and Efficient Inventory Management System for Disasters , 2013 .

[27]  Samy Bengio,et al.  The Vehicle Routing Problem with Time Windows Part II: Genetic Search , 1996, INFORMS J. Comput..

[28]  Kenneth Sörensen,et al.  A Practical Approach for Robust and Flexible Vehicle Routing Using Metaheuristics and Monte Carlo Sampling , 2009, J. Math. Model. Algorithms.

[29]  Gilbert Laporte,et al.  Fifty Years of Vehicle Routing , 2009, Transp. Sci..

[30]  Maurizio Bielli,et al.  Trends in Models and Algorithms for Fleet Management , 2011 .

[31]  Michel Gendreau,et al.  Vehicle Routing Problem with Time Windows, Part II: Metaheuristics , 2005, Transp. Sci..

[32]  Akshada R. Mate,et al.  Vertical-Edge-Based Number Plate Detection Method , 2015 .

[33]  Daniele Vigo,et al.  Chapter 6 Vehicle Routing , 2007, Transportation.

[34]  Paolo Toth,et al.  Exact algorithms for the vehicle routing problem, based on spanning tree and shortest path relaxations , 1981, Math. Program..

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

[36]  Mei-Shiang Chang,et al.  A scenario planning approach for the flood emergency logistics preparation problem under uncertainty , 2007 .

[37]  Jiuh-Biing Sheu,et al.  An emergency logistics distribution approach for quick response to urgent relief demand in disasters , 2007 .

[38]  Ibrahim H. Osman,et al.  Metastrategy simulated annealing and tabu search algorithms for the vehicle routing problem , 1993, Ann. Oper. Res..

[39]  F. Ordóñez,et al.  A robust optimization approach for the capacitated vehicle routing problem with demand uncertainty , 2008 .

[40]  Jean-Yves Potvin,et al.  Heuristic approaches to vehicle routing with backhauls and time windows , 1996, Comput. Oper. Res..

[41]  Seyed Jafar Sadjadi,et al.  Vehicle routing problem with uncertain demands: An advanced particle swarm algorithm , 2012, Comput. Ind. Eng..

[42]  Gerrit K. Janssens,et al.  Minimax optimisation approach for the Robust Vehicle Routing Problem with Time Windows and uncertain travel times , 2011 .

[43]  Paolo Toth,et al.  State-space relaxation procedures for the computation of bounds to routing problems , 1981, Networks.

[44]  Wout Dullaert,et al.  Robust Optimization of Uncertain Logistics Networks , 2011 .

[45]  Jacques Desrosiers,et al.  Routing with time windows by column generation , 1983, Networks.

[46]  Marius M. Solomon,et al.  Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints , 1987, Oper. Res..

[47]  Bruce L. Golden,et al.  The vehicle routing problem : latest advances and new challenges , 2008 .