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Построение расписаний двухстороннего движения на однопутной железной дороге с разъездом

А.А.Лазарев, Зиндер Я., Мусатова Е. Г., Тарасов И. А.

The paper is concerned with scheduling the two-way traffic between two stations connected by a single-track railway with a siding. It is shown that if, for each station, the order in which trains leave this station is known or can be found, then for various objective functions an optimal schedule can be constructed in polynomial time using the method of dynamic programming. Based on this result, the paper also presents a polynomial-time algorithm minimising the weighted number of late trains.