Johanne Cohen (National Centre for Scientific Research, France)
Talk title. The Canadian Traveller Problem: Shortest Paths When Roads Close
Talk abstract. You leave home with a map, and on the way some roads turn out to be closed at the last minute. If at most k roads can be blocked, how do you find your way? This is the Canadian Traveller Problem: reach your destination at the lowest cost when up to k edges may be blocked, and you only learn that a road is closed when you get near it. This talk shows how a classic problem, the shortest path, changes once roads can close and, on top of that, once they only open at certain times. We model the problem as a game between two players, and we show how the information known by the traveller changes how hard the problem is.