Sumalee, A, Watling, DP and Nakayama, S (2006) Reliable Network Design Problem: case with uncertain demand and total travel time reliability. Transportation Research Record, 1964 (1). 81 - 90. ISSN 0361-1981
Abstract
In the reliable network design problem (RNDP) the main sources of uncertainty are variable demand and route choice. The objective is to maximize network total travel time reliability (TTR), which is defined as the probability that the network total travel time will be less than a threshold. A framework is presented for a stochastic network model with Poisson-distributed demand and uncertain route choice. The travelers are assumed to choose their routes to minimize their perceived expected travel cost following the probit stochastic user equilibrium condition. An analytical method is presented for approximation of the first and second moments of the total travel time. These moments are then fitted with a log-normal distribution. Then the design problem is tackled in which the analytical derivative of the TTR is derived with the sensitivity analysis of the equilibrated path choice probability. This derivative is then supplied to a gradient-based optimization algorithm to solve the RNDP. The algorithm is tested with a small network example
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | (c) 2006, National Academy of Sciences. This is an author produced version of a paper published in Transportation research record. Uploaded in accordance with the publisher's self-archiving policy |
Keywords: | Network Reliability; Network Design Problem; Stochastic Network; Sensitivity Analysis; Reliable Network Design |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Environment (Leeds) > Institute for Transport Studies (Leeds) > ITS: Spatial Modelling and Dynamics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 06 Oct 2015 10:01 |
Last Modified: | 16 Jan 2018 16:32 |
Published Version: | http://dx.doi.org/10.3141/1964-10 |
Status: | Published |
Publisher: | National Academy of Sciences |
Identification Number: | 10.3141/1964-10 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:84660 |