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Exact and heuristic methods for public transit circulator design

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  • Lownes, Nicholas E.
  • Machemehl, Randy B.

Abstract

This work presents a new mixed integer model for a single-route circulator design problem. An exact method that performs well in practice on medium-sized networks is presented that utilizes 1-trees as lower bounds and a stopping criterion relevant in non-Steiner networks. Proof of the correctness of this stopping criterion is provided. A heuristic method is presented for large networks. Both methods are tested on sample networks along a commuter rail line in Austin, TX in several problem variations and results of these tests presented. The practical and theoretical implications of this work are outlined.

Suggested Citation

  • Lownes, Nicholas E. & Machemehl, Randy B., 2010. "Exact and heuristic methods for public transit circulator design," Transportation Research Part B: Methodological, Elsevier, vol. 44(2), pages 309-318, February.
    • Handle: RePEc:eee:transb:v:44:y:2010:i:2:p:309-318
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    1. Curtin, Kevin M. & Biba, Steve, 2011. "The Transit Route Arc-Node Service Maximization problem," European Journal of Operational Research, Elsevier, vol. 208(1), pages 46-56, January.
    2. Yu, Yao & Machemehl, Randy B. & Xie, Chi, 2015. "Demand-responsive transit circulator service network design," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 76(C), pages 160-175.
    3. Yinfei Feng & Zhichao Cao & Silin Zhang, 2022. "Shuttle Bus Timetable Adjustment in Response to Behind-Schedule Commuter Railway Disturbance," Sustainability, MDPI, vol. 14(24), pages 1-24, December.
    4. Junyong Jang & Yongbin Cho & Juntae Park, 2024. "Bus Route Sketching: A Multimetric Analysis from the User’s and Operator’s Perspectives," Sustainability, MDPI, vol. 16(16), pages 1-19, August.
    5. Cancela, Héctor & Mauttone, Antonio & Urquhart, María E., 2015. "Mathematical programming formulations for transit network design," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 17-37.
    6. Ibarra-Rojas, O.J. & Delgado, F. & Giesen, R. & Muñoz, J.C., 2015. "Planning, operation, and control of bus transport systems: A literature review," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 38-75.

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