The location-routing problem: considerations in physical distribution system design
Computers and Operations Research
A new optimization algorithm for the vehicle routing problem with time windows
Operations Research
Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
Solving airline crew scheduling problems by branch-and-cut
Management Science
Branch-And-Price: Column Generation for Solving Huge Integer Programs
Operations Research
Drive: Dynamic Routing of Independent Vehicles
Operations Research
2-Path Cuts for the Vehicle Routing Problem with Time Windows
Transportation Science
The Shortest-Path Problem with Resource Constraints and k-Cycle Elimination for k ≥ 3
INFORMS Journal on Computing
Heuristic for lane reservation problem in time constrained transportation
CASE'09 Proceedings of the fifth annual IEEE international conference on Automation science and engineering
The Stochastic Multiperiod Location Transportation Problem
Transportation Science
Primal-dual schema and lagrangian relaxation for the k-location-routing problem
APPROX'11/RANDOM'11 Proceedings of the 14th international workshop and 15th international conference on Approximation, randomization, and combinatorial optimization: algorithms and techniques
Approximation results for a min-max location-routing problem
Discrete Applied Mathematics
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An important aspect of designing a distribution system is determining the locations of the facilities. For systems in which deliveries are made along multiple stop routes, the routing problem and location problem must be considered simultaneously. In this paper, a set-partitioning-based formulation of an uncapacitated location-routing model with distance constraints is presented. An alternate set of constraints is identified that significantly reduces the total number of constraints and dramatically improves the linear programming relaxation bound. A branch and price algorithm is developed to solve instances of the model. The algorithm provides optimal solutions in reasonable computation time for problems involving as many as 10 candidate facilities and 100 customers with various distance constraints.