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Optimal scheduling of rehabilitation activities for multiple pavement facilities: exact and approximate solutions

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  • Ouyang, Yanfeng
  • Madanat, Samer

Abstract

This paper presents a mathematical programming model for optimal highway pavement rehabilitation planning which minimizes the life-cycle cost for a finite horizon. It extends previous researches in this area by solving the problem of multiple rehabilitation activities on multiple facilities, with realistic empirical models of deterioration and rehabilitation effectiveness. The formulation is based on discrete control theory. A nonlinear pavement performance model and integer decision variables are incorporated into a mixed-integer nonlinear programming (MINLP). Two solution approaches, a branch-and-bound algorithm and a greedy heuristic, are proposed for this model. It is shown that the heuristic results provide a good approximation to the exact optima, but with much lower computational costs.

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  • Ouyang, Yanfeng & Madanat, Samer, 2004. "Optimal scheduling of rehabilitation activities for multiple pavement facilities: exact and approximate solutions," Transportation Research Part A: Policy and Practice, Elsevier, vol. 38(5), pages 347-365, June.
    • Handle: RePEc:eee:transa:v:38:y:2004:i:5:p:347-365
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    References listed on IDEAS

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    1. Li, Yuwei & Madanat, Samer, 2002. "A steady-state solution for the optimal pavement resurfacing problem," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(6), pages 525-535, July.
    2. J. Enrique Fernandez & Terry L. Friesz, 1981. "Influence of Demand-Quality Interrelationships on Optimal Policies for Stage Construction of Transportation Facilities," Transportation Science, INFORMS, vol. 15(1), pages 16-31, February.
    3. Tsunokawa, Koji & Schofer, Joseph L., 1994. "Trend curve optimal control model for highway pavement maintenance: Case study and evaluation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 28(2), pages 151-166, March.
    4. Friesz, Terry L. & Enrique Fernandez, J., 1979. "A model of optimal transport maintenance with demand responsiveness," Transportation Research Part B: Methodological, Elsevier, vol. 13(4), pages 317-339, December.
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    1. Sathaye, Nakul & Madanat, Samer, 2011. "A bottom-up solution for the multi-facility optimal pavement resurfacing problem," Transportation Research Part B: Methodological, Elsevier, vol. 45(7), pages 1004-1017, August.
    2. Qiao, Julie Yu & Du, Runjia & Labi, Samuel & Fricker, Jon D. & Sinha, Kumares C., 2021. "Policy implications of standalone timing versus holistic timing of infrastructure interventions: Findings based on pavement surface roughness," Transportation Research Part A: Policy and Practice, Elsevier, vol. 148(C), pages 79-99.
    3. Durango-Cohen, Pablo L. & Madanat, Samer M., 2008. "Optimization of inspection and maintenance decisions for infrastructure facilities under performance model uncertainty: A quasi-Bayes approach," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(8), pages 1074-1085, October.
    4. Castro-Nuño, Mercedes & Arévalo-Quijada, M. Teresa, 2018. "Assessing urban road safety through multidimensional indexes: Application of multicriteria decision making analysis to rank the Spanish provinces," Transport Policy, Elsevier, vol. 68(C), pages 118-129.
    5. Lee, Jinwoo & Madanat, Samer, 2014. "Joint optimization of pavement design, resurfacing and maintenance strategies with history-dependent deterioration models," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 141-153.
    6. Xinhua Mao & Changwei Yuan & Jiahua Gan, 2019. "Incorporating Dynamic Traffic Distribution into Pavement Maintenance Optimization Model," Sustainability, MDPI, vol. 11(9), pages 1-15, April.
    7. Li, Sirui & Liu, Ying & Wang, Pengfei & Liu, Peng & Meng, Jun, 2020. "A novel approach for predicting urban pavement damage based on facility information: A case study of Beijing, China," Transport Policy, Elsevier, vol. 91(C), pages 26-37.
    8. Zhang, Le & Fu, Liangliang & Gu, Weihua & Ouyang, Yanfeng & Hu, Yaohua, 2017. "A general iterative approach for the system-level joint optimization of pavement maintenance, rehabilitation, and reconstruction planning," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 378-400.
    9. Seyedshohadaie, S. Reza & Damnjanovic, Ivan & Butenko, Sergiy, 2010. "Risk-based maintenance and rehabilitation decisions for transportation infrastructure networks," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(4), pages 236-248, May.
    10. Lu, Zhaoyang & Li, Yanfeng & Zuo, Dajie, 2024. "Period-dependent pricing methods of multi-type vehicles for BOT highway projects with pavement rehabilitation effects," Transport Policy, Elsevier, vol. 150(C), pages 84-94.
    11. Lee, Jinwoo & Madanat, Samer, 2015. "A joint bottom-up solution methodology for system-level pavement rehabilitation and reconstruction," Transportation Research Part B: Methodological, Elsevier, vol. 78(C), pages 106-122.
    12. Zhi-Chun Li & Dian Sheng, 2014. "Pavement rehabilitation scheduling and toll pricing under different regulatory regimes," Annals of Operations Research, Springer, vol. 217(1), pages 337-355, June.
    13. Chu, James C. & Huang, Kai-Hsiang, 2018. "Mathematical programming framework for modeling and comparing network-level pavement maintenance strategies," Transportation Research Part B: Methodological, Elsevier, vol. 109(C), pages 1-25.
    14. Lu, Zhaoyang & Meng, Qiang, 2018. "Impacts of pavement deterioration and maintenance cost on Pareto-efficient contracts for highway franchising," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 113(C), pages 1-21.
    15. Shi, Shasha & Yin, Yafeng & An, Qingxian & Chen, Ke, 2021. "Optimal build-operate-transfer road contracts under information asymmetry and uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 152(C), pages 65-86.
    16. Nozhati, Saeed & Sarkale, Yugandhar & Ellingwood, Bruce & K.P. Chong, Edwin & Mahmoud, Hussam, 2019. "Near-optimal planning using approximate dynamic programming to enhance post-hazard community resilience management," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 116-126.
    17. Ouyang, Yanfeng & Madanat, Samer, 2006. "An analytical solution for the finite-horizon pavement resurfacing planning problem," Transportation Research Part B: Methodological, Elsevier, vol. 40(9), pages 767-778, November.
    18. Sathaye, Nakul & Madanat, Samer, 2012. "A bottom-up optimal pavement resurfacing solution approach for large-scale networks," Transportation Research Part B: Methodological, Elsevier, vol. 46(4), pages 520-528.
    19. Gu, Weihua & Ouyang, Yanfeng & Madanat, Samer, 2012. "Joint optimization of pavement maintenance and resurfacing planning," Transportation Research Part B: Methodological, Elsevier, vol. 46(4), pages 511-519.
    20. Meng, Qiang & Lu, Zhaoyang, 2017. "Quantitative analyses of highway franchising under build-operate-transfer scheme: Critical review and future research directions," Transportation Research Part B: Methodological, Elsevier, vol. 102(C), pages 105-123.

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