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Railway scheduling by network optimization. (English) Zbl 0716.90057
Summary: Problems involving allocation of shared resources, such as sections of railway track, can often be solved efficiently using network optimization algorithms. In this paper we discuss a problem which involves scheduling different kinds of trains on a railway network consisting of a mix of double and single track, and which incorporate rather complicated practical constraints. The mathematical model of the problem is an integer network optimization problem with side constraints, and is difficult or impossible to solve exactly in reasonable time. Even finding a feasible solution is non-trivial. We present an efficient approximate algorithm which can find good feasible solutions for real-world networks quickly with modest computing resources.

MSC:
90B35 Deterministic scheduling theory in operations research
90C35 Programming involving graphs or networks
90-08 Computational methods for problems pertaining to operations research and mathematical programming
90C10 Integer programming
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