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International Transactions in Operational Research
Article . 2025 . Peer-reviewed
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Static optimization of a semiflexible on‐demand public bus line for peak hours

Static optimization of a semiflexible on-demand public bus line for peak hours
Authors: Dilay Aktas; Kenneth Sörensen; Pieter Vansteenwegen;

Static optimization of a semiflexible on‐demand public bus line for peak hours

Abstract

AbstractIn this paper, we study a public bus line operating between a terminal and a city center for which there exists a clear demand imbalance between the two directions during peak hours. Despite the demand imbalance, traditional public bus systems typically operate with a fixed‐route and fixed‐timetable scheme in both directions. To increase the efficiency of service during peak hours, in this paper, we propose an on‐demand operation that allows vehicles to take some shortcuts between the city center and the terminal, based on the passenger requests that are collected before the peak hours. We develop a variable neighborhood search (VNS) algorithm to optimize the operational decisions of this system. Based on the received requests, the VNS algorithm decides the following: (1) shortcut decisions: which shortcuts to take by each bus in each direction, (2) departure time decisions: when to depart from the city center and the terminal, and (3) passenger assignment decisions: which service serves each passenger. Experiments show that the total passenger travel time improves up to 45% on a real‐size line compared to its traditional fixed‐route operation. The performance of the system is also analyzed under different circumstances.

Country
Belgium
Keywords

Technology, Economics, FIXED-ROUTE, Social Sciences, 3509 Transportation, logistics and supply chains, demand-responsive transportation, SERVICE, DESIGN, Business & Economics, 0102 Applied Mathematics, A-RIDE PROBLEM, QUALITY, 4901 Applied mathematics, Science & Technology, Operations Research & Management Science, on-demand transportation, Management, TRANSPORTATION, 0806 Information Systems, 1503 Business and Management, variable neighborhood search, Mathematics, CUSTOMIZED BUS, Operations research, mathematical programming

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green