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An analytical solution for the finite-horizon pavement resurfacing planning problem

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  • Ouyang, Yanfeng
  • Madanat, Samer

Abstract

This paper presents an analytical approach for planning highway pavement resurfacing activities in the case of continuous pavement state and continuous time. It solves for the optimal resurfacing frequency and intensity that minimize life-cycle costs in a finite horizon. Optimality conditions are derived analytically, and a simple algorithm is developed to solve for the exact optimal solution. The optimal resurfacing strategy is found to be consistent with findings previously obtained by using an approximate approach and the strategy obtained for the infinite-horizon problem.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:40:y:2006:i:9:p:767-778
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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. 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.
    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.
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    5. Morton Klein, 1962. "Inspection--Maintenance--Replacement Schedules Under Markovian Deterioration," Management Science, INFORMS, vol. 9(1), pages 25-32, October.
    6. 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.
    7. 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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    Cited by:

    1. Lee, Dongkyu & Song, Junho, 2023. "Risk-informed operation and maintenance of complex lifeline systems using parallelized multi-agent deep Q-network," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Anani, Shadi B. & Madanat, Samer M, 2010. "Estimation of Highway Maintenance Marginal Cost under Multiple Maintenance Activities," University of California Transportation Center, Working Papers qt0fh705xg, University of California Transportation Center.
    9. 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.
    10. 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.
    11. Mishalani, Rabi G. & Gong, Liying, 2009. "Optimal infrastructure condition sampling over space and time for maintenance decision-making under uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 43(3), pages 311-324, March.
    12. 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.
    13. Chu, James C. & Chen, Yin-Jay, 2012. "Optimal threshold-based network-level transportation infrastructure life-cycle management with heterogeneous maintenance actions," Transportation Research Part B: Methodological, Elsevier, vol. 46(9), pages 1123-1143.

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