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A Branch-and-Cut Algorithm for the Dial-a-Ride Problem
Abstract
In the dial-a-ride problem, users formulate requests for transportation from a specific origin to a specific destination. Transportation is carried out by vehicles providing a shared service. The problem consists of designing a set of minimum-cost vehicle routes satisfying capacity, duration, time window, pairing, precedence, and ride-time constraints. This paper introduces a mixed-integer programming formulation of the problem and a branch-and-cut algorithm. The algorithm uses new valid inequalities for the dial-a-ride problem as well as known valid inequalities for the traveling salesman, the vehicle routing, and the pick-up and delivery problems. Computational experiments performed on randomly generated instances show that the proposed approach can be used to solve small to medium-size instances.
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Cited by
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Narayanan, S., Chaniotakis, E., & Antoniou, C. (2020) · Transportation Research Part C: Emerging Technologies · doi:10.1016/j.trc.2019.12.008 · Cited by 691
Congestion-aware system optimal route choice for shared autonomous vehicles
Levin, M. W. (2017) · Transportation Research Part C: Emerging Technologies · doi:10.1016/j.trc.2017.06.020 · Cited by 152
Multiblock ADMM Heuristics for Mixed-Binary Optimization on Classical and Quantum Computers
Gambella, C., & Simonetto, A. (2020) · IEEE Transactions on Quantum Engineering · doi:10.1109/tqe.2020.3033139 · Cited by 60
Dynamic shared autonomous taxi system considering on-time arrival reliability
Liu, Z., Miwa, T., Zeng, W., Bell, M. G. H., & Morikawa, T. (2019) · Transportation Research Part C: Emerging Technologies · doi:10.1016/j.trc.2019.04.018 · Cited by 48
Metadata
- Authors
- Cordeau, J.-F.
- Venue
- Operations Research
- Published
- 2006-06
- Volume
- 54
- Issue
- 3
- Pages
- 573-586
- ISSN
- 0030-364X (ISSN-L)
- 1526-5463
- OpenAlex
- W2051358678
- Cited by
- 695
- References
- 0
- FWCI
- 50.23
- Type
- journal article
- Language
- en
- Open access
- closed
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- Cordeau, J.-F. (2006). A Branch-and-Cut Algorithm for the Dial-a-Ride Problem. Operations Research. https://doi.org/10.1287/opre.1060.0283
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