A spatially disaggregated model for the technology selection and design of a transit line
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A spatially disaggregated model for the technology selection and design of a transit line Luigi Moccia1,2 · Duncan W. Allen3 · Gilbert Laporte2,4,5 Accepted: 24 August 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract Our research question is the usefulness of a high level of spatial granularity for the travel demand when planning a transit line. We formulate a new optimization model for the technology selection and design of a transit line where the spatial attributes of the travel demand can be finely set. The solution method relies on approximated formulae, and we establish relationships with a classic result for the optimal stop spacing. We also present a refinement of the in-vehicle passenger crowding for an existing transit design model where demand spatial attributes are set synthetically. We call “spatially disaggregate” and “spatially aggregate” the former and the latter model, respectively. These two models are compared by numerical experiments on a scenario for three semi-rapid transit technologies where two variants consider opposite demand profiles in terms of spatial distribution. We conclude that the spatially aggregated model is sufficient when the main goal is technology selection, whereas the spatially disaggregate model is better for design and benchmarking purposes. Keywords Transit Line design · Public transport optimization · Transit technology assessment · Semi-rapid transit
* Luigi Moccia [email protected] Gilbert Laporte [email protected] 1
Consiglio Nazionale delle Ricerche, Istituto di Calcolo e Reti ad Alte Prestazioni, via P. Bucci, 87036 Rende, Italy
2
Interuniversity Research Centre on Enterprise Networks, Logistics and Transportation (CIRRELT), Montréal H3T 1J4, Canada
3
IBI Group, 21 Custom House, Boston 02110, USA
4
HEC Montréal, 3000 chemin de la Côte-Sainte-Catherine, Montréal H3T 2A7, Canada
5
School of Management, University of Bath, Claverton Down, Bath B2A 7AY, United Kingdom
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1 Introduction The design of a transit line and the selection of its technology are complex decisions faced by urban communities and transit operators. Quantitative assessment methods that are designed to be comprehensive can help reach a consensus among decision makers, citizens, and other stakeholders. The transit users’ point of view is usually a complex topic and its modeling requires mathematical solution approaches. This paper contributes to the practical aim of broadening the scope of transit line models by considering a high spatial granularity of the travel demand and its implications on key user quality indices, such as in-vehicle crowding. To this end, we present an optimization model of a transit line where spatial attributes of the passengers’ boardings and alightings can be finely instantiated, and we compare this new model with another one in which these attributes are synthetically expressed. We refer to the new model as “spatially disaggregated” and to the other as “spatially aggregated”. We
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