A call-based integer programming model for static elevator operation problems

In this paper, we propose an integer linear programming (ILP) model for static elevator operation problems. The proposed model is based on hall- and car-calls which correspond to pickup and delivery requests in pickup-and-delivery problems (PDPs), thus is similar to ILP models for PDPs. The primary difference between those models and the proposed model is the prevention of the reverse run, which means that an elevator with a passenger is moved to the direction opposite to that of the passenger. In computer illustrations, the proposed model is roughly investigated by being compared with a trip-based ILP model which has been proposed by the authors.