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Simulation-based robust optimization for the schedule of single-direction bus transit route: The design of experiment

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  • Zhang, Wei
  • (Ato) Xu, Wangtu

Abstract

In this paper, the design of experiment (DOE) technique is used to formulate the robust schedule for the single-direction transit route. Factors affecting transit schedule performance are classified into two categories: the controllable and the uncontrollable. With Taguchi design method, these two types of factors are crossed mutually to carry out the Monte Carlo simulation to obtain the expected and variance values of the total schedule deviation. Next, two Kriging metamodels are fitted to describe relationships between controllable factors and the total transit schedule deviation. Based on these Kriging metamodels, the Pareto-optimal solution of the robust transit schedule is obtained.

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  • Zhang, Wei & (Ato) Xu, Wangtu, 2017. "Simulation-based robust optimization for the schedule of single-direction bus transit route: The design of experiment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 203-230.
  • Handle: RePEc:eee:transe:v:106:y:2017:i:c:p:203-230
    DOI: 10.1016/j.tre.2017.08.001
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    as
    1. Dimitris Bertsimas & Melvyn Sim, 2004. "The Price of Robustness," Operations Research, INFORMS, vol. 52(1), pages 35-53, February.
    2. Blumenfeld, Dennis E. & Burns, Lawrence D. & Daganzo, Carlos F., 1991. "Synchronizing production and transportation schedules," Transportation Research Part B: Methodological, Elsevier, vol. 25(1), pages 23-37, February.
    3. D den Hertog & J P C Kleijnen & A Y D Siem, 2006. "The correct Kriging variance estimated by bootstrapping," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(4), pages 400-409, April.
    4. Wang, Xinchang & Meng, Qiang, 2017. "Discrete intermodal freight transportation network design with route choice behavior of intermodal operators," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 76-104.
    5. Kleijnen, Jack P.C., 2009. "Kriging metamodeling in simulation: A review," European Journal of Operational Research, Elsevier, vol. 192(3), pages 707-716, February.
    6. Chebbi, Olfa & Chaouachi, Jouhaina, 2016. "Reducing the wasted transportation capacity of Personal Rapid Transit systems: An integrated model and multi-objective optimization approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 89(C), pages 236-258.
    7. Shan Lan & John-Paul Clarke & Cynthia Barnhart, 2006. "Planning for Robust Airline Operations: Optimizing Aircraft Routings and Flight Departure Times to Minimize Passenger Disruptions," Transportation Science, INFORMS, vol. 40(1), pages 15-28, February.
    8. Gabrel, Virginie & Murat, Cécile & Thiele, Aurélie, 2014. "Recent advances in robust optimization: An overview," European Journal of Operational Research, Elsevier, vol. 235(3), pages 471-483.
    9. Aharon, Ben-Tal & Boaz, Golany & Shimrit, Shtern, 2009. "Robust multi-echelon multi-period inventory control," European Journal of Operational Research, Elsevier, vol. 199(3), pages 922-935, December.
    10. Chung, Byung Do & Yao, Tao & Friesz, Terry L. & Liu, Hongcheng, 2012. "Dynamic congestion pricing with demand uncertainty: A robust optimization approach," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1504-1518.
    11. Chen, Wei-Hsin & Huang, Shih-Rong & Lin, Yu-Li, 2015. "Performance analysis and optimum operation of a thermoelectric generator by Taguchi method," Applied Energy, Elsevier, vol. 158(C), pages 44-54.
    12. 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.
    13. Dellino, Gabriella & Kleijnen, Jack P.C. & Meloni, Carlo, 2010. "Robust optimization in simulation: Taguchi and Response Surface Methodology," International Journal of Production Economics, Elsevier, vol. 125(1), pages 52-59, May.
    14. Ceder, A. & Golany, B. & Tal, O., 2001. "Creating bus timetables with maximal synchronization," Transportation Research Part A: Policy and Practice, Elsevier, vol. 35(10), pages 913-928, December.
    15. Xuan, Yiguang & Argote, Juan & Daganzo, Carlos F., 2011. "Dynamic bus holding strategies for schedule reliability: Optimal linear control and performance analysis," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1831-1845.
    16. Geroliminis, Nikolas & Daganzo, Carlos F., 2008. "Existence of urban-scale macroscopic fundamental diagrams: Some experimental findings," Transportation Research Part B: Methodological, Elsevier, vol. 42(9), pages 759-770, November.
    17. Daganzo, Carlos F., 2009. "A headway-based approach to eliminate bus bunching: Systematic analysis and comparisons," Transportation Research Part B: Methodological, Elsevier, vol. 43(10), pages 913-921, December.
    18. İhsan Yanıkoğlu & Dick den Hertog & Jack P. C. Kleijnen, 2016. "Robust dual-response optimization," IISE Transactions, Taylor & Francis Journals, vol. 48(3), pages 298-312, March.
    19. Michelle Dunbar & Gary Froyland & Cheng-Lung Wu, 2012. "Robust Airline Schedule Planning: Minimizing Propagated Delay in an Integrated Routing and Crewing Framework," Transportation Science, INFORMS, vol. 46(2), pages 204-216, May.
    20. Shervin AhmadBeygi & Amy Cohn & Marcial Lapp, 2010. "Decreasing airline delay propagation by re-allocating scheduled slack," IISE Transactions, Taylor & Francis Journals, vol. 42(7), pages 478-489.
    21. Bartholdi, John J. & Eisenstein, Donald D., 2012. "A self-coördinating bus route to resist bus bunching," Transportation Research Part B: Methodological, Elsevier, vol. 46(4), pages 481-491.
    22. Jiamin Zhao & Maged Dessouky & Satish Bukkapatnam, 2006. "Optimal Slack Time for Schedule-Based Transit Operations," Transportation Science, INFORMS, vol. 40(4), pages 529-539, November.
    23. Lin, Jie & Wang, Peng & Barnum, Darold T., 2008. "A quality control framework for bus schedule reliability," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(6), pages 1086-1098, November.
    24. Gabriella Dellino & Jack P. C. Kleijnen & Carlo Meloni, 2012. "Robust Optimization in Simulation: Taguchi and Krige Combined," INFORMS Journal on Computing, INFORMS, vol. 24(3), pages 471-484, August.
    25. Jack P.C. Kleijnen, 2015. "Design and Analysis of Simulation Experiments," International Series in Operations Research and Management Science, Springer, edition 2, number 978-3-319-18087-8, September.
    26. ,, 2000. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 16(2), pages 287-299, April.
    27. Hassold, Stephan & Ceder, Avishai (Avi), 2014. "Public transport vehicle scheduling featuring multiple vehicle types," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 129-143.
    28. A. L. Soyster, 1973. "Technical Note—Convex Programming with Set-Inclusive Constraints and Applications to Inexact Linear Programming," Operations Research, INFORMS, vol. 21(5), pages 1154-1157, October.
    29. Barrena, Eva & Canca, David & Coelho, Leandro C. & Laporte, Gilbert, 2014. "Single-line rail rapid transit timetabling under dynamic passenger demand," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 134-150.
    30. Chen, Lu & Gendreau, Michel & Hà, Minh Hoàng & Langevin, André, 2016. "A robust optimization approach for the road network daily maintenance routing problem with uncertain service time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 85(C), pages 40-51.
    31. Fischer, Andreas & Nokhart, Håkon & Olsen, Henrik & Fagerholt, Kjetil & Rakke, Jørgen Glomvik & Stålhane, Magnus, 2016. "Robust planning and disruption management in roll-on roll-off liner shipping," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 91(C), pages 51-67.
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