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A column generation approach to train timetabling on a corridor. (English) Zbl 1151.90323
Summary: We propose heuristic and exact algorithms for the (periodic and non-periodic) train timetabling problem on a corridor that are based on the solution of the LP relaxation of an ILP formulation in which each variable corresponds to a full timetable for a train. This is in contrast with previous approaches to the same problem, which were based on ILP formulations in which each variable is associated with a departure and/or arrival of a train at a specific station in a specific time instant, whose LP relaxation is too expensive to be solved exactly. Experimental results on real-world instances of the problem show that the proposed approach is capable of producing heuristic solutions of better quality than those obtained by these previous approaches, and of solving some small-size instances to proven optimality.

90B06 Transportation, logistics and supply chain management
90C10 Integer programming
90C57 Polyhedral combinatorics, branch-and-bound, branch-and-cut
90C59 Approximation methods and heuristics in mathematical programming
Full Text: DOI
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