Dynamic shortest path problems with time-varying costs
β Scribed by S. Mehdi Hashemi; Shaghayegh Mokarami; Ebrahim Nasrabadi
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 276 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1862-4472
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π SIMILAR VOLUMES
We study a new version of the shortest path problem. Let G Γ (V, E) be a directed graph. Each arc e β E has two numbers attached to it: a transit time b(e, u) and a cost c(e, u), which are functions of the departure time u at the beginning vertex of the arc. Moreover, postponement of departure (i.e.
We describe a general solution method for the problem of finding the shortest path between two vertices of a graph in which each edge has some transit time, costs can vary with time, and stopping and parking (with corresponding costs) are allowed at the vertices.
The k-shortest path problem in a network with time dependent cost attributes arises in many transportation decisions including hazardous materials routing and urban trip planning. The present paper proposes a label setting algorithm for solving this problem given that departure and arrival are const