A new optimization algorithm for the vehicle routing problem with time windows
Operations Research
A tabu search heuristic for the vehicle routing problem
Management Science
2-Path Cuts for the Vehicle Routing Problem with Time Windows
Transportation Science
A new branch-and-cut algorithm for the capacitated vehicle routing problem
Mathematical Programming: Series A and B
Computers and Operations Research - Anniversary focused issue of computers & operations research on tabu search
Vehicle routing problem with elementary shortest path based column generation
Computers and Operations Research
Robust Branch-and-Cut-and-Price for the Capacitated Vehicle Routing Problem
Mathematical Programming: Series A and B
A general heuristic for vehicle routing problems
Computers and Operations Research
The Shortest-Path Problem with Resource Constraints and k-Cycle Elimination for k ≥ 3
INFORMS Journal on Computing
Mathematical Programming: Series A and B
Subset-Row Inequalities Applied to the Vehicle-Routing Problem with Time Windows
Operations Research
A dual ascent procedure for the set partitioning problem
Discrete Optimization
New State-Space Relaxations for Solving the Traveling Salesman Problem with Time Windows
INFORMS Journal on Computing
Vehicle routing problem with stochastic travel times including soft time windows and service costs
Computers and Operations Research
A Branch-and-Cut Algorithm for the Symmetric Two-Echelon Capacitated Vehicle Routing Problem
Transportation Science
An Exact Algorithm for the Multitrip Vehicle Routing Problem
INFORMS Journal on Computing
Lifted and Local Reachability Cuts for the Vehicle Routing Problem with Time Windows
Computers and Operations Research
Branch and Price for the Time-Dependent Vehicle Routing Problem with Time Windows
Transportation Science
Combined location and routing problems for drug distribution
Discrete Applied Mathematics
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In this paper, we describe an effective exact method for solving both the capacitated vehicle routing problem (cvrp) and the vehicle routing problem with time windows (vrptw) that improves the method proposed by Baldacci et al. [Baldacci, R., N. Christofides, A. Mingozzi. 2008. An exact algorithm for the vehicle routing problem based on the set partitioning formulation with additional cuts. Math. Programming115(2) 351--385] for the cvrp. The proposed algorithm is based on the set partitioning (SP) formulation of the problem. We introduce a new route relaxation called ng-route, used by different dual ascent heuristics to find near-optimal dual solutions of the LP-relaxation of the SP model. We describe a column-and-cut generation algorithm strengthened by valid inequalities that uses a new strategy for solving the pricing problem. The new ng-route relaxation and the different dual solutions achieved allow us to generate a reduced SP problem containing all routes of any optimal solution that is finally solved by an integer programming solver. The proposed method solves four of the five open Solomon's vrptw instances and significantly improves the running times of state-of-the-art algorithms for both vrptw and cvrp.