Shortest Paths (20)

Michael L. Littman

November 25th, 1997

• ANNOUNCEMENTS
• SHORTEST PATH PROBLEM
  • Route Finding
  • Single-Source Shortest-Path Problem
  • Variations
  • Some Properties of Shortest Paths
  • Optimal Substructure Property
  • Shortest Path Tree
• DIJKSTRA'S ALGORITHM
  • Idea
  • Bookkeeping
  • Initialization and Improvement
  • Algorithm
  • Connection to Prim's
  • Correctness
  • Running Time
• A
  • Obvious Waste
  • Admissible Heuristic
  • Important Properties
  • Observations
  • New Algorithm
  • Basic Concepts
  • Running Time and Heuristic Quality
  • Running Time
  • Generating Heuristics
  • Varying Quality
  • Homework 11: Final (incomplete)