Dynamic shortest path problems with time-varying costs

作者：Hashemi S Mehdi; Mokarami Shaghayegh^*; Nasrabadi Ebrahim

来源：Optimization Letters, 2010, 4(1): 147-156.

DOI：10.1007/s11590-009-0162-5

• Dynamic shortest paths
• Time-varying networks
• Labeling algorithms

This paper concerns the problem of finding shortest paths from one node to all other nodes in networks for which arc costs can vary with time, each arc has a transit time, and parking with a corresponding time-varying cost is allowed at the nodes. The transit times can also take negative values. A general labeling method, as well as several implementations, are presented for finding shortest paths and detecting negative cycles under the assumption that arc traversal costs are piecewise linear and node parking costs are piecewise constant.

• 出版日期2010-1