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Joint optimization of pavement design, resurfacing and maintenance strategies with history-dependent deterioration models

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  • Lee, Jinwoo
  • Madanat, Samer

Abstract

The subject of this paper is the joint optimization of pavement design, maintenance and resurfacing (M&R) strategies. This problem is solved for continuous pavement state, continuous time, infinite planning horizon and non-Markovian (history-dependent) pavement deterioration model. This paper presents a mathematical formulation of the joint optimization problem to minimize the total discounted lifecycle costs, using a combination of analytical and numerical tools. The lifecycle costs include both user costs and agency (construction, resurfacing and maintenance) costs. This paper shows that resurfacing schedule converges to a steady state after a few resurfacing cycles. The research results should be of use to developing countries in the process of expanding their highway networks facing multiple constraints.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:68:y:2014:i:c:p:141-153
    DOI: 10.1016/j.trb.2014.06.008
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    References listed on IDEAS

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    1. 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.
    2. Madanat, S M & Prozzi, Jorge A & Han, Michael, 2002. "Effect of Performance Model Accuracy on Optimal Pavement Design," University of California Transportation Center, Working Papers qt42b5n5j6, University of California Transportation Center.
    3. 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.
    4. 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.
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    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Kamal Golabi & Ram B. Kulkarni & George B. Way, 1982. "A Statewide Pavement Management System," Interfaces, INFORMS, vol. 12(6), pages 5-21, December.
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    Citations

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    Cited by:

    1. 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.
    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. 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.
    4. 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.
    5. 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.
    6. Lee, Jinwoo & Madanat, Samer & Reger, Darren, 2016. "Pavement systems reconstruction and resurfacing policies for minimization of life‐cycle costs under greenhouse gas emissions constraints," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 618-630.

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