Reliable space–time prisms in the stochastic road networks under spatially correlated travel times. Issue 1 (2nd January 2020)

• Record Type: Journal Article
• Authors: Sahebgharani, Alireza; Haghshenas, Hossein; Mohammadi, Mahmoud
• Is Part Of: Transportmetrica. Volume 8:Issue 1(2020)
• Page Start: 351
• Page End: 375
• Publication Date: 2020-01-02
• Subjects: Stochastic networks -- space–time prism -- time reliability -- spatial correlation; Transportation -- Mathematical models -- Periodicals; 388.015118
• DOI: 10.1080/21680566.2020.1764411
• Languages: English
• ISSNs: 2168-0566

Abstract

ABSTRACT: Conventional space–time prisms (STPs) represent deterministic travel times but ignore the stochastic nature of travel speeds. To this extent, reliable STPs were developed to take the effect of time uncertainty into account. Although empirical studies showed that link travel times are correlated in the urban road networks and obey non-normal distributions, existing reliable prisms assume that travel times follow normal distribution and are spatially independent. This way, the aim of this paper is to extend the concept of reliable STP to non-normally distributed and spatially correlated networks. In doing so, a method is elaborated for computing such a prism, and several cases are carried out to show applicability of the proposed model. Outputs depicted different prism size in the correlated and independent networks, and ability of the model for representing spatial extent of an individual considering various on-time arrival probability preferences.