Heuristics: intelligent search strategies for computer problem solving
Heuristics: intelligent search strategies for computer problem solving
Shortest paths in Euclidean graphs
Algorithmica
Approximation of Pareto optima in multiple-objective, shortest-path problems
Operations Research
Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
Shortest-path and minimum-delay algorithms in networks with time-dependent edge-length
Journal of the ACM (JACM)
IEEE Transactions on Intelligent Transportation Systems
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In this paper, we introduce a travel planning problem which is solved by computing time-dependent shortest paths through a fixed sequence of nodes. Given a predetermined itinerary, our travel planning problem consists in finding the best travel plan, involving planes and hotels, based on the traveler's preferences. Our time-dependent framework therefore models plane flights, hotels, stays in each city as well as global time constraints. Given the large size of time-dependent networks, an exact decomposition algorithm is devised to solve instances of realistic size in reasonable computation times.