Abstract: In this paper, we consider the problem of finding the shortest path in a graph when there is aleatoric uncertainty about the presence and/or cost of certain edges. We investigate hybrid path ...

Why is a straight line always the shortest path between two points? 📐 This video explains the result using a variational approach, showing how minimizing distance leads naturally to a straight line ...

Everyone knows that the path of least resistance is the path that will always be taken, be it by water, electricity or the feet of humans. This is where the PCB presented by [ElectrArc240] on YouTube ...

Shortest path algorithms sit at the heart of modern graph theory and many of the systems that move people, data, and goods around the world. After nearly seventy years of relying on the same classic ...

ABSTRACT: Multi-objective optimization remains a significant and realistic problem in engineering. A trade-off among conflicting objectives subject to equality and inequality constraints is known as ...

The All-Pairs Shortest Paths Problem, Seeking the Shortest Distance Between Every Node Pair in a Graph, is Efficiently Solved by Johnson's Algorithm for All Pairs of a Vertext, Bellman-Ford for ...

When Edsger W. Dijkstra published his algorithm in 1959, computer networks were barely a thing. The algorithm in question found the shortest path between any two nodes on a graph, with a variant ...

Abstract: Path following is a fundamental capability for autonomous surface vessels (ASVs). A typical path-following algorithm comprises two main modules: guidance and control. In the guidance domain, ...

Department of Chemical Engineering, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110016, India Indian Institute of Technology Delhi-Abu Dhabi, Khalifa City B 20010, Abu Dhabi, UAE ...

Python simulation of the London Underground network that finds the fastest route between stations using weighted graph algorithms. Includes dynamic connections and optimization for travel time and ...