Set-covering-based algorithms for the capacitated VRP
The vehicle routing problem
Resource Constrained Shortest Paths
ESA '00 Proceedings of the 8th Annual European Symposium on Algorithms
Accelerated label setting algorithms for the elementary resource constrained shortest path problem
Operations Research Letters
Formulations and exact algorithms for the vehicle routing problem with time windows
Computers and Operations Research
Computers and Operations Research
A Column Generation Algorithm for a Rich Vehicle-Routing Problem
Transportation Science
Branch and Cut and Price for the Pickup and Delivery Problem with Time Windows
Transportation Science
Constraint-specific recovery network for solving airline recovery problems
Computers and Operations Research
Path-Reduced Costs for Eliminating Arcs in Routing and Scheduling
INFORMS Journal on Computing
INFORMS Journal on Computing
An efficient column-generation-based algorithm for solving a pickup-and-delivery problem
Computers and Operations Research
New State-Space Relaxations for Solving the Traveling Salesman Problem with Time Windows
INFORMS Journal on Computing
Vehicle routing problem with time windows based on adaptive bacterial foraging optimization
ICIC'12 Proceedings of the 8th international conference on Intelligent Computing Theories and Applications
Optimal solutions for routing problems with profits
Discrete Applied Mathematics
An Exact Algorithm for the Integrated Planning of Berth Allocation and Quay Crane Assignment
Transportation Science
Branch and Price for the Time-Dependent Vehicle Routing Problem with Time Windows
Transportation Science
A set-covering based heuristic algorithm for the periodic vehicle routing problem
Discrete Applied Mathematics
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When vehicle routing problems with additional constraints, such as capacity or time windows, are solved via column generation and branch-and-price, it is common that the pricing subproblem requires the computation of a minimum cost constrained path on a graph with costs on the arcs and prizes on the vertices. A common solution technique for this problem is dynamic programming. In this paper we illustrate how the basic dynamic programming algorithm can be improved by bounded bi-directional search and we experimentally evaluate the effectiveness of the enhancement proposed. We consider as benchmark problems the elementary shortest path problems arising as pricing subproblems in branch-and-price algorithms for the capacitated vehicle routing problem, the vehicle routing problem with distribution and collection and the capacitated vehicle routing problem with time windows.