Line planning as one of the first planning stages in public transport is a well-researched topic. Nearly all models …. In this paper, we show that line planning for different demand periods can be modeled and solved: We introduce the multi …-period line planning problem which is to find optimized line concepts for each demand period which are similar (enough) to each …

formulation for the three planning stages line planning, (periodic) timetabling, and vehicle scheduling which also includes the …

The line-planning problem seeks to determine the set of fixed routes (or lines) a transit operator should run, along … with associated operation frequencies. We propose an optimization algorithm for the transit-line-planning problem based on …

In this paper, we propose a novel algorithmic approach to solve line planning problems. To this end, we model the line … use a best-response algorithm. We investigate, under which conditions on the line planning model a passenger’s best …- optimal solution of the line planning problem. For problems where best-responses cannot be found efficiently, we propose …