IDEAS home Printed from https://ideas.repec.org/a/eee/jrpoli/v62y2019icp561-570.html
   My bibliography  Save this article

A mathematical optimisation approach to modelling the economics of a coal mine

Author

Listed:
  • Rademeyer, Maryke C.
  • Minnitt, Richard C.A.
  • Falcon, Rosemary M.S.

Abstract

A mathematical model of a multi-product coal mining project is proposed to characterise the economics governing coal production. The model accounts for mining cost variation due to varying production levels, changes in reserves available for extraction by means of a cut-off parameter, as well as lead-time delays between investment and when operations begin. The resulting constrained optimisation problem is solved computationally by maximising the net present value of future cash flows from the mining operation subject to physical limitations. We find that the capital investment problem has greater bearing on the overall project configuration decision and that changes in production capital are made throughout the life of the project while production volumes are largely unchanged.

Suggested Citation

  • Rademeyer, Maryke C. & Minnitt, Richard C.A. & Falcon, Rosemary M.S., 2019. "A mathematical optimisation approach to modelling the economics of a coal mine," Resources Policy, Elsevier, vol. 62(C), pages 561-570.
  • Handle: RePEc:eee:jrpoli:v:62:y:2019:i:c:p:561-570
    DOI: 10.1016/j.resourpol.2018.11.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0301420718303775
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.resourpol.2018.11.003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Richard J. Brazee & L. Martin Cloutier, 2006. "Reconciling Gray and Hotelling," American Journal of Economics and Sociology, Wiley Blackwell, vol. 65(3), pages 827-856, July.
    2. Crabbe, Philippe J., 1983. "The contribution of L. C. Gray to the economic theory of exhaustible natural resources and its roots in the history of economic thought," Journal of Environmental Economics and Management, Elsevier, vol. 10(3), pages 195-220, September.
    3. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39, pages 137-137.
    4. Lewis Cecil Gray, 1914. "Rent under the Assumption of Exhaustibility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 28(3), pages 466-489.
    5. L. C. Gray, 1913. "The Economic Possibilities of Conservation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 27(3), pages 497-519.
    6. Harry F. Campbell, 1980. "The Effect of Capital Intensity on the Optimal Rate of Extraction of a Mineral Deposit," Canadian Journal of Economics, Canadian Economics Association, vol. 13(2), pages 349-356, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yıldız, Taşkın Deniz, 2022. "Considering the recent increase in license fees in Turkey, how can the negative effect of the fees on the mining operating costs be reduced?," Resources Policy, Elsevier, vol. 77(C).
    2. Kopacz, Michał & Kulpa, Jarosław & Galica, Dominik & Olczak, Piotr, 2020. "The influence of variability models for selected geological parameters on the resource base and economic efficiency measures - Example of coking coal deposit," Resources Policy, Elsevier, vol. 68(C).
    3. Maryke C. Rademeyer & Richard C. A. Minnitt & Rosemary M. S. Falcon, 2020. "A characterisation of the mechanisms transforming capital investment into productive capacity in mining projects with long lead-times," Mineral Economics, Springer;Raw Materials Group (RMG);Luleå University of Technology, vol. 33(3), pages 349-357, October.
    4. Yıldız, Taşkın Deniz, 2022. "Supervisor fund expectation for the guarantee of salaries in the presence of the effect of permanent supervisor salaries on mining operating costs in Turkey," Resources Policy, Elsevier, vol. 77(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Roberto Ferreira da Cunha & Antoine Missemer, 2020. "The Hotelling rule in non‐renewable resource economics: A reassessment," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 53(2), pages 800-820, May.
    2. Missemer, Antoine & Nadaud, Franck, 2020. "Energy as a factor of production: Historical roots in the American institutionalist context," Energy Economics, Elsevier, vol. 86(C).
    3. Franco, Marco P.V. & Gaspard, Marion & Mueller, Thomas, 2019. "Time discounting in Harold Hotelling's approach to natural resource economics: The unsolved ethical question," Ecological Economics, Elsevier, vol. 163(C), pages 52-60.
    4. Richard J. Brazee & L. Martin Cloutier, 2006. "Reconciling Gray and Hotelling," American Journal of Economics and Sociology, Wiley Blackwell, vol. 65(3), pages 827-856, July.
    5. Anne Épaulard & Jean-Pierre Laffargue & Pierre Malgrange, 2008. "Présentation générale," Economie & Prévision, La Documentation Française, vol. 0(2), pages 1-13.
    6. Smith, James L., 2013. "Issues in extractive resource taxation: A review of research methods and models," Resources Policy, Elsevier, vol. 38(3), pages 320-331.
    7. Siebert, Horst, 1985. "Ricardo- und Hotelling-Paradigmen für die Preisbildung natürlicher Ressourcen," Discussion Papers, Series I 205, University of Konstanz, Department of Economics.
    8. Robert D. Cairns and Graham A. Davis, 2015. "Mineral Depletion and the Rules of Resource Dynamics," The Energy Journal, International Association for Energy Economics, vol. 0(Adelman S).
    9. Brian R. Copeland & M. Scott Taylor, 2017. "Environmental and resource economics: A Canadian retrospective," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 50(5), pages 1381-1413, December.
    10. Robert Cairns, 2001. "Capacity Choice and the Theory of the Mine," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 18(1), pages 129-148, January.
    11. Michel Mougeot & Pierre Malgrange, 2002. "Présentation générale," Économie et Prévision, Programme National Persée, vol. 156(5), pages 1-7.
    12. Alexandre Stamford da Silva & Fernando Campello de Souza, 2008. "The economics of water resources for the generation of electricity and other uses," Annals of Operations Research, Springer, vol. 164(1), pages 41-61, November.
    13. Brian R. Copeland & M. Scott Taylor, 2017. "Environmental and resource economics: A Canadian retrospective," Canadian Journal of Economics, Canadian Economics Association, vol. 50(5), pages 1381-1413, December.
    14. Devarajan, Shantayanan & Fisher, Anthony C, 1981. "Hotelling's "Economics of Exhaustible Resources": Fifty Years Later," Journal of Economic Literature, American Economic Association, vol. 19(1), pages 65-73, March.
    15. Julien Daubanes & Pierre Lasserre, 2019. "The supply of non-renewable resources," Canadian Journal of Economics, Canadian Economics Association, vol. 52(3), pages 1084-1111, August.
    16. Kamiar Mohaddes, 2013. "Econometric modelling of world oil supplies: terminal price and the time to depletion," OPEC Energy Review, Organization of the Petroleum Exporting Countries, vol. 37(2), pages 162-193, June.
    17. Robert Bradley, 2007. "Resourceship: An Austrian theory of mineral resources," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 20(1), pages 63-90, March.
    18. Louis-Gaëtan Giraudet & Antoine Missemer, 2019. "The Economics of Energy Efficiency, a Historical Perspective," CIRED Working Papers halshs-02301636, HAL.
    19. Beatriz Gaitan S. & Richard S.J. Tol & I. Hakan Yetkiner, 2006. "The Hotelling’s Rule Revisited in a Dynamic General Equilibrium Model," Papers of the Annual IUE-SUNY Cortland Conference in Economics, in: Oguz Esen & Ayla Ogus (ed.), Proceedings of the Conference on Human and Economic Resources, pages 213-238, Izmir University of Economics.
    20. Jean-Pierre Amigues & Michel Moreaux & Nguyen Manh-Hung, 2019. "The Fossil Energy Interlude: Optimal Building, Maintaining and Scraping a Dedicated Capital, and the Hotelling Rule," Working Papers 2019.07, FAERE - French Association of Environmental and Resource Economists.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jrpoli:v:62:y:2019:i:c:p:561-570. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/30467 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.