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A model of optimal transport maintenance with demand responsiveness

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  • Friesz, Terry L.
  • Enrique Fernandez, J.

Abstract

Maintenance activities can be performed throughout the lifetime of a particular facility or piece of equipment, thereby affecting its quality in a continuous fashion. It is assumed in this paper that quality of a facility is determined by natural factors, rate of use and maintenance investments while demand for the facility is assumed to be a function of its quality. A dynamic optimization model in the form of a simple linear optimal control problem is then developed in order to determine optimal maintenance policies under these circumstances. Bang-bang and singular policies are derived and given economic interpretations. An algorithm is presented for numerical solution of the Pontryagin necessary conditions. Finally, sufficiency conditions are obtained for the model structure considered.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:13:y:1979:i:4:p:317-339
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    Citations

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    Cited by:

    1. Durango-Cohen, Pablo L., 2007. "A time series analysis framework for transportation infrastructure management," Transportation Research Part B: Methodological, Elsevier, vol. 41(5), pages 493-505, June.
    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. 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. 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.
    5. 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.
    6. 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.
    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. 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.
    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. 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.
    11. 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.
    12. Marc Gaudry & Bernard Lapeyre & Emile Quinet, 2015. "Infrastructure maintenance, regeneration and service quality economics: A rail example," PSE Working Papers halshs-00559637, HAL.
    13. 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.
    14. 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.
    15. 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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