The efficient shape of a skyscraper based on the vertical traffic

Elevators are indispensable for the vertical traffic in the skyscraper, and the space for the elevator passage area occupies a significant portion of the total area of the skyscraper, reducing the effective dwelling space in the building. Recent studies have shown that the shape of a skyscraper affects its efficiency. Based on the results of these studies, this paper proposes some optimization problems on the shape of a skyscraper. They are nonlinear optimization problems with the constraints which can be solved numerically. Some numerical results are included.