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Inter-School Bus Scheduling Under Stochastic Travel Times

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  • Shangyao Yan
  • Fei-Yen Hsiao
  • Yi-Chun Chen

Abstract

Stochastic disturbances occurring in real world operations could have a significant influence on the planned routing and scheduling results for inter-school buses. An optimal schedule might therefore lose its optimality when applied in actual operations where stochastic disturbances occur. In this study we employ network flow techniques to construct an inter-school bus routing and scheduling model, considering the characteristics of inter-school buses for class attendance, under stochastic travel times. The model is formulated as a special multiple commodity network flow problem which is characterized as NP-hard. To efficiently solve realistically large problems a problem decomposition and variable fixing method, coupled with the use of CPLEX mathematical programming solver, is employed to develop a solution algorithm. Finally, computational tests are performed using data from an allied university system in Taiwan. The test results show that the model and the solution algorithm are good and therefore could be useful for actual operations. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Shangyao Yan & Fei-Yen Hsiao & Yi-Chun Chen, 2015. "Inter-School Bus Scheduling Under Stochastic Travel Times," Networks and Spatial Economics, Springer, vol. 15(4), pages 1049-1074, December.
    • Handle: RePEc:kap:netspa:v:15:y:2015:i:4:p:1049-1074
    DOI: 10.1007/s11067-014-9280-4
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    2. M. Alinaghian & M. Ghazanfari & N. Norouzi & H. Nouralizadeh, 2017. "A Novel Model for the Time Dependent Competitive Vehicle Routing Problem: Modified Random Topology Particle Swarm Optimization," Networks and Spatial Economics, Springer, vol. 17(4), pages 1185-1211, December.
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    5. Jianan Yin & Yuanyuan Ma & Yuxin Hu & Ke Han & Suwan Yin & Hua Xie, 2021. "Delay, Throughput and Emission Tradeoffs in Airport Runway Scheduling with Uncertainty Considerations," Networks and Spatial Economics, Springer, vol. 21(1), pages 85-122, March.
    6. Huasheng Liu & Yuqi Zhao & Jin Li & Yu Li & Xiaowen Li & Sha Yang, 2022. "A Two-Phase, Joint-Commuting Model for Primary and Secondary Schools Considering Parking Sharing," IJERPH, MDPI, vol. 19(11), pages 1-25, May.
    7. Banerjee, Dipayan & Smilowitz, Karen, 2019. "Incorporating equity into the school bus scheduling problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 228-246.
    8. Ampol Karoonsoontawong & Onwasa Kobkiattawin & Chi Xie, 2019. "Efficient Insertion Heuristic Algorithms for Multi-Trip Inventory Routing Problem with Time Windows, Shift Time Limits and Variable Delivery Time," Networks and Spatial Economics, Springer, vol. 19(2), pages 331-379, June.

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