An exact reoptimization algorithm for the scheduling of elevator groups

The task of an elevator control is to schedule the elevators of a group such that small waiting and travel times for the passengers are obtained. We present an exact reoptimization algorithm for this problem. A reoptimization algorithm computes a new schedule for the elevator group each time a new passenger arrives. Our algorithm uses column generation techniques and is, to the best of our knowledge, the first exact reoptimization algorithm for a group of passenger elevators. To solve the column generation problem, we propose a Branch & Bound method. The overall algorithm finds high-quality solutions very quickly.

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