The Vehicle Routing Problem: Latest Advances and New Challenges

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Bruce L. Golden, S. Raghavan, Edward A. Wasil
Springer Science & Business Media, Jul 20, 2008 - Business & Economics - 591 pages
Theoretical research and practical applications in the ?eld of vehicle routing started in 1959 with the truck dispatching problem posed by Dantzig and Ramser [1]: ?nd the “. . . optimum routing of a ?eet of gasoline delivery trucks between a bulk terminal and a large number of service stations supplied by the terminal. ” Using a method based on a linear programming formulation, their hand calculations produced a near-optimal solution with four routes to aproblemwithtwelve service stations. The authorsproclaimed:“Nopractical applications of the method have been made as yet. ” In the nearly 50 years since the Dantzig and Ramser paper appeared, work in the ?eld has exploded dramatically. Today, a Google Scholar search of the words vehicle routing problem (VRP) yields more than 21,700 entries. The June 2006 issue of OR/MS Today provided a survey of 17 vendors of commercial routing software whose packages are currently capable of solving average-size problems with 1,000 stops, 50 routes, and two-hour hard-time windows in two to ten minutes [2]. In practice, vehicle routing may be the single biggest success story in operations research. For example, each day 103,500 drivers at UPS follow computer-generated routes. The drivers visit 7. 9 million customers and handle an average of 15. 6 million packages [3].
 

Contents

Routing a Heterogeneous Fleet of Vehicles
3
A Decade of Capacitated Arc Routing
29
Inventory Routing
49
The Period Vehicle Routing Problemand its Extensions
73
A Survey
103
Challenges and Advances in A Priori Routing
123
A Categorized Bibliography
143
Parallel Solution Methods for Vehicle Routing Problems
170
Robust BranchCutandPrice Algorithms for Vehicle Routing Problems
296
Recent Models and Algorithms for OnetoOne Pickup and Delivery Problems
327
OnetoManytoOne Single Vehicle Pickup and Delivery Problems
358
Challenges and Opportunities in Attended Home Delivery
379
ChvátalGomory Rank1 Cuts Used in a DantzigWolfe Decomposition of the Vehicle Routing Problem with Time Windows
397
Vehicle Routing Problems with InterTour Resource Constraints
420
Motivations Case Studies and Methods
445
Part III Practical Applications
472

Recent Developments in Dynamic Vehicle Routing Systems
199
Part II New Directions in Modeling and Algorithms
219
A Survey
221
Modeling and Solving the Capacitated Vehicle Routing Problem on Trees
238
Using a Genetic Algorithm to Solve the Generalized Orienteering Problem
263
An Integer Linear Programming Local Search for Capacitated Vehicle Routing Problems
275
Vehicle Routing for Small Package Delivery and Pickup Services
473
Heuristic Solution of the Close Enough Traveling Salesman Problem over a Street Network
487
Multiperiod Planning and Routing on a Rolling Horizon for Field Force Optimization Logistics
502
New Challenges for Routing Problems with a Focus on the Austrian Situation
527
Vehicle Routing Problems and Container Terminal Operations An Update of Research
551
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Page v - The paper is concerned with the optimum routing of a fleet of gasoline delivery trucks between a bulk terminal and a large number of service stations supplied by the terminal. The shortest routes between any two points in the system are given and a demand for one or several products is specified for a number of stations within the distribution system. It is desired to find a way to assign stations to trucks in such a manner that station demands are satisfied and total mileage...
Page 6 - VRP use binary variables as vehicle flow variables to indicate if a vehicle travels between two customers in the optimal solution.
Page iv - University of Maryland University of Maryland College Park, MD, USA College Park, MD, USA...
Page 3 - Problem (VRP) is one of the most studied combinatorial optimization problems and is concerned with the optimal design of routes to be used by a fleet of vehicles to serve a set of customers.
Page 3 - Heterogeneous vehicle routing problem. 1 Introduction The Vehicle Routing Problem (VRP) is one of the most...