Essays that make one argument: the waste in plowing is measurable, it comes from the shape of the problem, and the mathematics that removes it is decades old, and still moving.
What the waste is, and what it costs. Every mile a plow drives with its blade up is wasted fuel, wasted time, and a street still waiting for service. Municipalities spend $2–4 billion annually on winter road maintenance — and a measurable share of that spending goes to driving that accomplishes nothing.
Why plowing is not a delivery problem. Delivery trucks visit stops. Snow plows traverse roads. That distinction — node routing versus arc routing — changes everything about how you optimize. Most fleet software gets this wrong.
The mathematics, from Euler to NP-hard. From the Chinese Postman Problem to NP-hard fleet routing — a practitioner's guide to the mathematics behind snow plow optimization. Why CARP is the right formulation, and why most routing software ignores it.
How a 1736 idea took out most of the blade-up. Some of a plow's empty driving is forced by the streets. Much more of it was forced by the plan. In October 2026 PlowPath began ordering a town's streets along an Euler trail, an idea from 1736. With the same trucks and settings, blade-up fell by a median 81% across 69 plans in 19 towns, and by 82% on the 31 whose street maps had not changed.
Why routing still runs on a 1959 algorithm. Every route PlowPath plans rests on one question, asked thousands of times: how far is it, by road? Since 1959 the answer has come from Dijkstra's algorithm. In 2025 it was finally beaten on paper, and in 2026 a team of AI agents went further and proved it. Here is what that means, on the gallery's own streets.
From a baseline to routes you can trust. From road network data to measurably faster clearance times — a step-by-step process for municipalities ready to treat routing as an engineering problem.
What the new tools do, and do not, solve. GPS, sensors, and dashboards are transforming fleet visibility. But most "AI snow removal" doesn't touch the actual routing problem — and the distinction matters more than any sensor upgrade.