Brain & Facktor
I've been working on a model for minimizing elevator wait times in a high‑rise. It turns out that keeping the queue shallow while minimizing energy use creates a surprisingly complex trade‑off. How do you usually balance those competing constraints?
I turn the trade‑off into a weighted objective, run a quick linear program, then tweak the weights until the slope of the wait‑time versus energy curve flattens out. I log every tweak, track the energy‑per‑wait metric, and pick the point where the marginal benefit of reducing the queue equals the marginal cost in energy. After that, I run a small simulation to confirm the theoretical optimum holds in practice.