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Dynamic programming based metaheuristics for the dial-a-ride problem

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  • Ulrike Ritzinger
  • Jakob Puchinger
  • Richard Hartl

Abstract

The organization of a specialized transportation system to perform transports for elderly and handicapped people is usually modeled as dial-a-ride problem. Users place transportation requests with specified pickup and delivery locations and times. The requests have to be completed under user inconvenience considerations by a specified fleet of vehicles. In the dial-a-ride problem, the aim is to minimize the total travel times respecting the given time windows, the maximum user ride times, and the vehicle restrictions. This paper introduces a dynamic programming algorithm for the dial-a-ride problem and demonstrates its effective application in (hybrid) metaheuristic approaches. Compared to most of the works presented in literature, this approach does not make use of any (commercial) solver. We present an exact dynamic programming algorithm and a dynamic programming based metaheuristic, which restricts the considered solution space. Then, we propose a hybrid metaheuristic algorithm which integrates the dynamic programming based algorithms into a large neighborhood framework. The algorithms are tested on a given set of benchmark instances from the literature and compared to a state-of-the-art hybrid large neighborhood search approach. Copyright Springer Science+Business Media New York 2016

Suggested Citation

  • Ulrike Ritzinger & Jakob Puchinger & Richard Hartl, 2016. "Dynamic programming based metaheuristics for the dial-a-ride problem," Annals of Operations Research, Springer, vol. 236(2), pages 341-358, January.
    • Handle: RePEc:spr:annopr:v:236:y:2016:i:2:p:341-358:10.1007/s10479-014-1605-7
    DOI: 10.1007/s10479-014-1605-7
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    References listed on IDEAS

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    Cited by:

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    3. Ritzinger, Ulrike & Puchinger, Jakob & Rudloff, Christian & Hartl, Richard F., 2022. "Comparison of anticipatory algorithms for a dial-a-ride problem," European Journal of Operational Research, Elsevier, vol. 301(2), pages 591-608.
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    7. Timo Gschwind & Michael Drexl, 2019. "Adaptive Large Neighborhood Search with a Constant-Time Feasibility Test for the Dial-a-Ride Problem," Transportation Science, INFORMS, vol. 53(2), pages 480-491, March.
    8. Tian, Xiaoyu & Zhang, Zhi-Hai, 2019. "Capacitated disassembly scheduling and pricing of returned products with price-dependent yield," Omega, Elsevier, vol. 84(C), pages 160-174.
    9. Dawei Chen & Fangxu Mo & Ye Chen & Jun Zhang & Xinyu You, 2022. "Optimization of Ramp Locations along Freeways: A Dynamic Programming Approach," Sustainability, MDPI, vol. 14(15), pages 1-13, August.
    10. Tafreshian, Amirmahdi & Abdolmaleki, Mojtaba & Masoud, Neda & Wang, Huizhu, 2021. "Proactive shuttle dispatching in large-scale dynamic dial-a-ride systems," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 227-259.
    11. Ho, Sin C. & Szeto, W.Y. & Kuo, Yong-Hong & Leung, Janny M.Y. & Petering, Matthew & Tou, Terence W.H., 2018. "A survey of dial-a-ride problems: Literature review and recent developments," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 395-421.
    12. Zhijie Liu & Jianyu Jiang & Zhiqiang Gan & Chengxin Lin, 2022. "Ballast water dynamic allocation optimization model and analysis for safe and reliable operation of floating cranes," Annals of Operations Research, Springer, vol. 311(1), pages 279-294, April.
    13. Ertan Yakıcı & Robert F. Dell & Travis Hartman & Connor McLemore, 2018. "Daily aircraft routing for amphibious ready groups," Annals of Operations Research, Springer, vol. 264(1), pages 477-498, May.
    14. Jagtenberg, C.J. & van den Berg, P.L. & van der Mei, R.D., 2017. "Benchmarking online dispatch algorithms for Emergency Medical Services," European Journal of Operational Research, Elsevier, vol. 258(2), pages 715-725.
    15. Fuying Liu & Chen Liu & Qi Zhao & Chenhao He, 2021. "A Hybrid Teaching-Learning-Based Optimization Algorithm for the Travel Route Optimization Problem alongside the Urban Railway Line," Sustainability, MDPI, vol. 13(3), pages 1-17, January.
    16. Salii, Yaroslav, 2019. "Revisiting dynamic programming for precedence-constrained traveling salesman problem and its time-dependent generalization," European Journal of Operational Research, Elsevier, vol. 272(1), pages 32-42.
    17. Yves Molenbruch & Kris Braekers & An Caris, 2017. "Typology and literature review for dial-a-ride problems," Annals of Operations Research, Springer, vol. 259(1), pages 295-325, December.

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