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An analysis of maintenance schedules for public facilities

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  • Arnt O. Hopland
  • Sturla F. Kvamsdal
  • Leif K. Sandal

Abstract

We present a flexible, formal framework for maintenance scheduling for public facilities. Key features of the model include an accelerating deterioration scheme, a general utility measure, and real estate market effects in the salvage function. The model is rich enough to capture a range of stylistic scenarios pertaining to public facilities while remaining simple enough to allow formal analysis of the optimal maintenance schedule. Based on our analysis, we draw a phase diagram that classifies the generic behavior of the optimal solution. We illustrate our analysis in numerical examples that highlight essential trade-offs and the time dependence of the facility maintenance problem. Under simplifying assumptions, we also derive the basics of an exact solution.

Suggested Citation

  • Arnt O. Hopland & Sturla F. Kvamsdal & Leif K. Sandal, 2019. "An analysis of maintenance schedules for public facilities," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 29(1), pages 17-35.
  • Handle: RePEc:wut:journl:v:1:y:2019:p:17-35:id:1409
    DOI: 10.37190/ord190102
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    References listed on IDEAS

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    1. Rioja, Felix K., 1999. "Productiveness and welfare implications of public infrastructure: a dynamic two-sector general equilibrium analysis," Journal of Development Economics, Elsevier, vol. 58(2), pages 387-404, April.
    2. Arnt Ove Hopland & Lars-Erik Borge, 2012. "Maintenance and building conditions in Norwegian local governments: Economic and political determinants," Working Paper Series 13112, Department of Economics, Norwegian University of Science and Technology.
    3. Jakob Haan & Jan Sturm & Bernd Sikken, 1996. "Government capital formation: Explaining the decline," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 132(1), pages 55-74, March.
    4. Kalaitzidakis, Pantelis & Kalyvitis, Sarantis, 2004. "On the macroeconomic implications of maintenance in public capital," Journal of Public Economics, Elsevier, vol. 88(3-4), pages 695-712, March.
    5. Lars-Erik Borge & Arnt O. Hopland, 2017. "Schools and public buildings in decay: the role of political fragmentation," Economics of Governance, Springer, vol. 18(1), pages 85-105, February.
    6. Rioja, Felix K., 2003. "Filling potholes: macroeconomic effects of maintenance versus new investments in public infrastructure," Journal of Public Economics, Elsevier, vol. 87(9-10), pages 2281-2304, September.
    7. Kym Fraser & Hans-Henrik Hvolby & Chihiro Watanabe, 2011. "A review of the three most popular maintenance systems: how well is the energy sector represented?," International Journal of Global Energy Issues, Inderscience Enterprises Ltd, vol. 35(2/3/4), pages 287-309.
    8. Morton I. Kamien & Nancy L. Schwartz, 1971. "Optimal Maintenance and Sale Age for a Machine Subject to Failure," Management Science, INFORMS, vol. 17(8), pages 495-504, April.
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