Single elevator scheduling problem with complete information: An exact model using mixed integer linear programming

We propose a novel approach for group elevator scheduling by formulating it as the maximization of submodular function under a matroid constraint. In particular, we propose to model the total waiting time of passengers using a quadratic Boolean function. The unary and pairwise terms in the function denote the waiting time for single and pairwise allocation of passengers to elevators, respectively. We show that this objective function is submodular. The matroid constraints ensure that every passenger is allocated to exactly one elevator. We use a greedy algorithm to maximize the submodular objective function, and derive provable guarantees on the optimality of the solution. We tested our algorithm using Elevate 8, a commercial-grade elevator simulator that allows simulation with a wide range of elevator settings. We achieve significant improvement over the existing algorithms.

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Single elevator scheduling problem with complete information: An exact model using mixed integer linear programming

Cited by 2 publications

References 11 publications

A Game-Theoretic Approach to Energy-Efficient Elevator Scheduling in Smart Buildings

A Game-Theoretic Approach to Energy-Efficient Elevator Scheduling in Smart Buildings

Submodular Function Maximization for Group Elevator Scheduling

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