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Time-dependent Hyperstar algorithm for robust vehicle navigation in time-dependent stochastic road networks.

Bell, Michael G H; Trozzi, Valentina; Hosseinloo, Solmaz Haji; Gentile, Guido; Fonzone, Achille

Authors

Michael G H Bell

Valentina Trozzi

Solmaz Haji Hosseinloo

Guido Gentile



Abstract

The vehicle navigation problem studied in Bell (2009) is revisited and a time-dependent reverse Hyperstar algorithm is presented. This minimises the expected time of arrival at the destination, and all intermediate nodes, where expectation is based on a pessimistic (or risk-averse) view of unknown link delays. This may also be regarded as a hyperpath version of the Chabini and Lan (2002) algorithm, which itself is a time-dependent A* algorithm. Links are assigned undelayed travel times and maximum delays, both of which are potentially functions of the time of arrival at the respective link. The driver seeks probabilities for link use that minimise his/her maximum exposure to delay on the approach to each node, leading to the determination of the pessimistic expected time of arrival. Since the context considered is vehicle navigation where the driver is not making repeated trips, the probability of link use may be interpreted as a measure of link attractiveness, so a link with a zero probability of use is unattractive while a link with a probability of use equal to one will have no attractive alternatives. A solution algorithm is presented and proven to solve the problem provided the node potentials are feasible and a FIFO condition applies for undelayed link travel times. The paper concludes with a numerical example.

Presentation Conference Type Conference Paper (unpublished)
Conference Name 4th International Symposium on Transportation Network Reliability
Start Date Jul 22, 2010
End Date Jul 23, 2010
Deposit Date Mar 14, 2011
Peer Reviewed Not Peer Reviewed
Keywords Robust route guidance; vehicle navigation; encertain networks;
Public URL http://researchrepository.napier.ac.uk/id/eprint/4243
Contract Date Mar 14, 2011

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