On solving multi-type railway line planning problems

Abstract

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Line planning in public transportation: models and methods

“…Practical experiences with the Dutch Railway system show that the approach runs in reasonable time for real-world instances. Goossens (2004) further investigates an extension called multi-line planning problem in which not all trains need to stop at all stations; see also Goossens et al (2006). The problem is modeled as a multi-commodity flow problem with a flow for each type of train.…”

Line planning with user-optimal route choice

“…Operational costs are taken into account as simple frequency-based costs [GYW06,SS15a,Sch14,SS06], sum of fixed and frequency-based costs [BGP07,BK12], or using more sophisticated models, e.g., based on rolling stock utilization [GvHK06,GvHK04].…”

A multimodal approach to bus frequency design

“…Several authors have focused on optimising transit frequencies, amongst whom Salzborn [4,5], Furth and Wilson [6], Han and Wilson [7] Constantin and Florian [8], Claessens et al [9] Gao et al [10], Goossens et al [11,12], Schoebel and Scholl [13], Borndorfer et al [14], and Yu et al [15]. All the above papers adopt the assumption of rigid demand.…”