Integer and combinatorial optimization
Integer and combinatorial optimization
Vehicle scheduling in public transit and Lagrangean pricing
Management Science
2-Path Cuts for the Vehicle Routing Problem with Time Windows
Transportation Science
A proximal trust-region algorithm for column generation stabilization
Computers and Operations Research
Dynamic window reduction for the multiple depot vehicle scheduling problem with time windows
Computers and Operations Research
A comparison of five heuristics for the multiple depot vehicle scheduling problem
Journal of Scheduling
On the choice of explicit stabilizing terms in column generation
Discrete Applied Mathematics
A Column Generation Algorithm for a Rich Vehicle-Routing Problem
Transportation Science
Iterated local search for the multiple depot vehicle scheduling problem
Computers and Industrial Engineering
Constrained local search method for bus fleet scheduling problem with multi-depot with line change
Evo'08 Proceedings of the 2008 conference on Applications of evolutionary computing
Path-Reduced Costs for Eliminating Arcs in Routing and Scheduling
INFORMS Journal on Computing
Transit network timetabling and vehicle assignment for regulating authorities
Computers and Industrial Engineering
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We consider the multiple depot vehicle scheduling problem (MDVSP) and propose a branch-and-bound algorithm for solving it that combines column generation, variable fixing, and cutting planes. We show that the solutions of the linear relaxation of the MDVSP contain many odd cycles. We derive a class of valid inequalities by extending the notion of odd cycle and describe a lifting procedure for these inequalities. We prove that the lifted inequalities represent, under certain conditions, facets of the underlying polytope. Finally, we present the results of a computational study comparing several strategies (variable fixing, cutting planes, mixed branching, and tree search) for solving the MDVSP.