@article{ref1,
title="Societally optimal expansion of bicycle networks",
journal="Transportation research part B: methodological",
year="2023",
author="Paulsen, Mads and Rich, Jeppe",
volume="174",
number="",
pages="e102778-e102778",
abstract="In this paper, we consider the problem of expanding bicycle networks over time. The expansion of the network at a given point in time is based on the societal cost-benefit performance, which entails system-wide effects from previous expansions. The problem is challenging due to non-linearities of travel time benefits and the dimension of the problem, which is a consequence of the combinatorial complexity of the networks and the planning horizon. It rules out the use of conventional bottom-up cost-benefit analysis as evaluating even a small set of possible solutions becomes computationally infeasible. To circumvent this problem, we introduce a novel reverse geographical mapping approach where the monetary benefits are assigned back onto the network. This allows a more detailed geographical planning breakdown at the level of network links and makes it possible to apply a more stringent optimization approach with respect to the timing and prioritization of network expansions. Based on a linear approximation of travel time savings, we propose several variants of mathematical integer programs to solve the problem. This allows us to consider the case of growing a cycle superhighway network in the Copenhagen region over a time horizon of 50 years. We show that our approximations of travel time savings are largely similar to those obtained through actual traffic assignment. Furthermore, the optimization approach renders a development plan, which yields a net present value that is ten times larger than that of the actual infrastructure upgrades implemented since 2019. In a long-term scenario, it is shown that our solution returns an accumulated benefit-cost ratio of 2.7 over the period, which is a significant improvement over previous findings. This underlines the importance of optimal prioritization schemes of where and when to invest in bicycle network expansions.<p /> <p>Language: en</p>",
language="en",
issn="0191-2615",
doi="10.1016/j.trb.2023.06.002",
url="http://dx.doi.org/10.1016/j.trb.2023.06.002"
}