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An ALNS algorithm for the static dial-a-ride problem with ride and waiting time minimization

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  • Christian Pfeiffer

    (University of Hamburg)

  • Arne Schulz

    (University of Hamburg)

Abstract

The paper investigates the static dial-a-ride problem with ride and waiting time minimization. This is a new problem setting of significant practical relevance because several ride-sharing providers launched in recent years in large European cities. In contrast to the standard dial-a-ride problem, these providers focus on the general public. Therefore, they are amongst others in competition with taxis and private cars, which makes a more customer-oriented objective necessary. We present an adaptive large neighbourhood search (ALNS) as well as a dynamic programming algorithm (DP), which are tested in comprehensive computational studies. Although the DP can only be used for a single tour and, due to the computational effort, as a restricted version or for small instances, the ALNS also works efficiently for larger instances. The results indicate that ride-sharing proposals may help to solve the trade-off between individual transport, profitability of the provider, and reduction of traffic and pollution.

Suggested Citation

  • Christian Pfeiffer & Arne Schulz, 2022. "An ALNS algorithm for the static dial-a-ride problem with ride and waiting time minimization," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(1), pages 87-119, March.
    • Handle: RePEc:spr:orspec:v:44:y:2022:i:1:d:10.1007_s00291-021-00656-7
    DOI: 10.1007/s00291-021-00656-7
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    References listed on IDEAS

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    3. Sapan Tiwari & Neema Nassir & Patricia Sauri Lavieri, 2024. "Review and Classification of Objectives in Dynamic Dial-a-Ride Systems: A Triple Bottom Line Approach of Sustainability," Sustainability, MDPI, vol. 16(13), pages 1-30, July.
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    5. Arne Schulz, 2024. "Efficient neighborhood evaluation for the maximally diverse grouping problem," Annals of Operations Research, Springer, vol. 341(2), pages 1247-1265, October.

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