Multi-Constrained Shortest Path Model and Solution with Improved Ant Colony Algorithm
Yaomin Hu, Yuyin Liu, Weiming Liu
Abstract
Yaomin Hu, Yuyin Liu, Weiming Liu
Abstract
How to provide a route to meet the driver's multiple psychological expectations is the key problem of a navigation system. Essentially, this problem is a resource constrained shortest path problem (RCSP), which belongs to NP hard problems and can not be solved with the traditional shortest path algorithm. A multi-constrained shortest path mathematical model is presented in this paper and solved with an improved ant colony algorithm. The pheromone update rule and heuristic factor are redesigned in the algorithm. Results show that the improved optimization algorithm has a good ability to accurately determine the multi-constrained shortest path in the road network.
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How to provide a route to meet the driver's multiple psychological expectations is the key problem of a navigation system. Essentially, this problem is a resource constrained shortest path problem (RCSP), which belongs to NP hard problems and can not be solved with the traditional shortest path algorithm. A multi-constrained shortest path mathematical model is presented in this paper and solved with an improved ant colony algorithm. The pheromone update rule and heuristic factor are redesigned in the algorithm. Results show that the improved optimization algorithm has a good ability to accurately determine the multi-constrained shortest path in the road network.
Key concepts: Shortest path problem, Constrained Shortest Path First, Yen's algorithm, K shortest path routing, Ant colony optimization algorithms, Shortest Path Faster Algorithm, Euclidean shortest path, Computer science