Skip to main content
Log in

A real options approach for joint overhaul and replacement strategies with mean reverting prices

  • S.I. : CLAIO 2016
  • Published:
Annals of Operations Research Aims and scope Submit manuscript

Abstract

Due to its significant impact on economic performance, an effective equipment overhaul and replacement strategy is a key aspect of physical asset management in capital-intensive industries, such as the mining industry. Classical approaches suggest periodic interventions based on the physical condition of the equipment, considering factors such as availability and operational costs. These fixed models generally ignore two important aspects: first, the flexibility of the decision to overhaul or replace, which may be re-evaluated within a given period, and second, the uncertainty around economic factors that may affect future maintenance decisions, such as the product price. This work improves on classical models by considering the effect of integrated price uncertainty in the definition of joint overhaul and replacement strategy, using a real options approach and a mean reversion binomial model to represent the uncertainty in price. More specifically, we develop a real options model and use a backwards recursion algorithm to determine an optimal intervention policy that maximizes expected profits. We then present a numerical study of the mining industry to validate the effectiveness of the proposed methodology. Results show that the option-based decision model economically outperforms the classical periodic strategy approach from with net present value increments ranging from 36.8 to 8.6%, according to the number of periods in the maintenance cycle, offering evidence that a new approach to equipment overhaul and replacement strategy is needed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Abdel-Hameed, M. (2013). Replacement and maintenance policies of devices: A review. In Stochastic reliability and maintenance modeling (pp. 179–189). Berlin: Springer.

    Google Scholar 

  • Alsyouf, I. (2007). The role of maintenance in improving companies’ productivity and profitability. International Journal of production economics, 105(1), 70–78.

    Google Scholar 

  • Andersson, H. (2007). Are commodity prices mean reverting? Applied Financial Economics, 17(10), 769–783.

    Google Scholar 

  • Bastian-Pinto, C., Brandão, L. E., Hahn, W. J. (2010). A non-censored binomial model for mean reverting stochastic processes. In Annual international conference on real options, vol 14.

  • Bengtsson, J. (2001). Manufacturing flexibility and real options: A review. International Journal of Production Economics, 74(1), 213–224.

    Google Scholar 

  • Bertocchi, M., Moriggia, V., & Dupačová, J. (2006). Horizon and stages in applications of stochastic programming in finance. Annals of Operations Research, 142(1), 63–78.

    Google Scholar 

  • Bessembinder, H., Coughenour, J. F., Seguin, P. J., & Smoller, M. M. (1995). Mean reversion in equilibrium asset prices: Evidence from the futures term structure. The Journal of Finance, 50(1), 361–375.

    Google Scholar 

  • Boyle, P. P. (1977). Options: A monte carlo approach. Journal of Financial Economics, 4(3), 323–338.

    Google Scholar 

  • Brandão, L. E., & Dyer, J. S. (2005). Decision analysis and real options: A discrete time approach to real option valuation. Annals of Operations Research, 135(1), 21–39.

    Google Scholar 

  • Brennan, M. J., & Schwartz, E. S. (1985). Evaluating natural resource investments. Journal of Business, 58(2), 135–157.

    Google Scholar 

  • Carazas, F., & Souza, G. F. M. D. (2010). Risk-based decision making method for maintenance policy selection of thermal power plant equipment. Energy, 35(2), 964–975.

    Google Scholar 

  • Cashin, P., McDermott, C. J., & Scott, A. (2002). Booms and slumps in world commodity prices. Journal of Development Economics, 69(1), 277–296.

    Google Scholar 

  • Childs, P. D., Riddiough, T. J., & Triantis, A. J. (1996). Mixed uses and the redevelopment option. Real Estate Economics, 24(3), 317–339.

    Google Scholar 

  • Cox, J. C., Ross, S. A., & Rubinstein, M. (1979). Option pricing: A simplified approach. Journal of Financial Economics, 7(3), 229–263.

    Google Scholar 

  • Crasselt, N., & Lohmann, C. (2016). Considering real options in short-term decision making. Journal of Management Control, 27(4), 351–369.

    Google Scholar 

  • Dalal, A. J., & Alghalith, M. (2009). Production decisions under joint price and production uncertainty. European Journal of Operational Research, 197(1), 84–92.

    Google Scholar 

  • Décamps, J. P., Mariotti, T., & Villeneuve, S. (2006). Irreversible investment in alternative projects. Economic Theory, 28(2), 425–448.

    Google Scholar 

  • Ding, Q., Dong, L., & Kouvelis, P. (2007). On the integration of production and financial hedging decisions in global markets. Operations Research, 55(3), 470–489.

    Google Scholar 

  • Dixit, A. (1993). Choosing among alternative discrete investment projects under uncertainty. Economics Letters, 41(3), 265–268.

    Google Scholar 

  • Dixit, A. K., & Pindyck, R. S. (1994). Investment under uncertainty. Princeton: Princeton University Press.

    Google Scholar 

  • Gunther McGrath, R., & Nerkar, A. (2004). Real options reasoning and a new look at the research and development investment strategies of pharmaceutical firms. Strategic Management Journal, 25(1), 1–21.

    Google Scholar 

  • Haahtela TJ (2010) Recombining trinomial tree for real option valuation with changing volatility. Annual Real Option Conference

  • Hahn, W. J., & Dyer, J. S. (2008). Discrete time modeling of mean-reverting stochastic processes for real option valuation. European Journal of Operational Research, 184(2), 534–548.

    Google Scholar 

  • Hu, X., Munson, C. L., & Fotopoulos, S. B. (2012). Purchasing decisions under stochastic prices: Approximate solutions for order time, order quantity and supplier selection. Annals of Operations Research, 201(1), 287–305.

    Google Scholar 

  • Huchzermeier, A., & Loch, C. H. (2001). Project management under risk: Using the real options approach to evaluate flexibility in R... D. Management Science, 47(1), 85–101.

    Google Scholar 

  • Huerta-Cepas, J., Serra, F., & Bork, P. (2016). ETE 3: Reconstruction, analysis, and visualization of phylogenomic data. Molecular Biology and Evolution, 33(6), 1635–1638.

    Google Scholar 

  • Hull, J. C., & White, A. D. (1994). Numerical procedures for implementing term structure models II: Two-factor models. The Journal of Derivatives, 2(2), 37–48.

    Google Scholar 

  • Jaillet, P., Ronn, E. I., & Tompaidis, S. (2004). Valuation of commodity-based swing options. Management Science, 50(7), 909–921.

    Google Scholar 

  • Jin, X., & Ni, J. (2013). Joint production and preventive maintenance strategy for manufacturing systems with stochastic demand. Journal of Manufacturing Science and Engineering, 135(3), 031016.

    Google Scholar 

  • Kim, Y. H., & Thomas, L. C. (2013). Repair strategies in an uncertain environment: Stochastic game approach. In Stochastic reliability and maintenance modeling (pp. 123–140). London: Springer.

  • Kulatilaka, N. (1995). The value of flexibility: A general model of real options. Real options in capital investment: Models, strategies, and applications, (pp. 89–107).

  • Lander, D. M., & Pinches, G. E. (1998). Challenges to the practical implementation of modeling and valuing real options. The Quarterly Review of Economics and Finance, 38(3), 537–567.

    Google Scholar 

  • Li, C. L., & Kouvelis, P. (1999). Flexible and risk-sharing supply contracts under price uncertainty. Management Science, 45(10), 1378–1398.

    Google Scholar 

  • Li, S., Murat, A., & Huang, W. (2009). Selection of contract suppliers under price and demand uncertainty in a dynamic market. European Journal of Operational Research, 198(3), 830–847.

    Google Scholar 

  • Lim, S. (2013). A joint optimal pricing and order quantity model under parameter uncertainty and its practical implementation. Omega, 41(6), 998–1007.

    Google Scholar 

  • Mardin, F., & Arai, T. (2011). A system dynamics model for replacement and overhaul policies on capital asset subject to technological change. In The 29th international conference of the system dynamics society.

  • Messina, V., & Bosetti, V. (2006). Integrating stochastic programming and decision tree techniques in land conversion problems. Annals of Operations Research, 142(1), 243–258.

    Google Scholar 

  • Mun, J. (2006). Modeling risk: Applying Monte Carlo simulation, real options analysis, forecasting, and optimization techniques (Vol. 347). London: Wiley.

    Google Scholar 

  • Nembhard, H. B., Shi, L., & Aktan, M. (2003). A real options design for product outsourcing. The Engineering Economist, 48(3), 199–217.

    Google Scholar 

  • Nguyen, T., Yeung, T., & Castanier, B. (2011). Impact of maintenance on the replacement investment under technological improvement. In Advances in safety, reliability and risk management: ESREL, 2011, 139.

  • Paddock, J. L., Siegel, D. R., & Smith, J. L. (1988). Option valuation of claims on real assets: The case of offshore petroleum leases. The Quarterly Journal of Economics, 103(3), 479–508.

    Google Scholar 

  • Parida, A., & Kumar, U. (2006). Maintenance performance measurement (mpm): Issues and challenges. Journal of Quality in Maintenance Engineering, 12(3), 239–251.

    Google Scholar 

  • Pascual, R., Santelices, G., Liao, H., & Maturana, S. (2016). Channel coordination on fixed-term maintenance outsourcing contracts. IIE Transactions, 48(7), 1–10.

    Google Scholar 

  • Richardson, S., Kefford, A., & Hodkiewicz, M. (2013). Optimised asset replacement strategy in the presence of lead time uncertainty. International Journal of Production Economics, 141(2), 659–667.

    Google Scholar 

  • Rubinstein, M. (1994). Implied binomial trees. The Journal of Finance, 49(3), 771–818.

    Google Scholar 

  • Schwartz, E., & Smith, J. E. (2000). Short-term variations and long-term dynamics in commodity prices. Management Science, 46(7), 893–911.

    Google Scholar 

  • Schwartz, E. S. (1997). The stochastic behavior of commodity prices: Implications for valuation and hedging. The Journal of Finance, 52(3), 923–973.

    Google Scholar 

  • Siddiqui, A., & Fleten, S. E. (2010). How to proceed with competing alternative energy technologies: A real options analysis. Energy Economics, 32(4), 817–830.

    Google Scholar 

  • Slade, M. E. (2001). Valuing managerial flexibility: An application of real-option theory to mining investments. Journal of Environmental Economics and Management, 41(2), 193–233.

    Google Scholar 

  • Song, D. P. (2009). Production and preventive maintenance control in a stochastic manufacturing system. International Journal of Production Economics, 119(1), 101–111.

    Google Scholar 

  • Sumanth, D. J. (1998). Total productivity management: A systematic and quantitative approach to compete in quality, price, and time. Florida: St Lucie Press.

    Google Scholar 

  • Wang, H. (2002). A survey of maintenance policies of deteriorating systems. European Journal of Operational Research, 139(3), 469–489.

    Google Scholar 

  • Wang, T., & Dyer, J. S. (2010). Valuing multifactor real options using an implied binomial tree. Decision Analysis, 7(2), 185–195.

    Google Scholar 

  • Wu, S., & Zuo, M. J. (2010). Linear and nonlinear preventive maintenance models. IEEE Transactions on Reliability, 59(1), 242–249.

    Google Scholar 

  • Zambujal-Oliveira, J., & Duque, J. (2011). Operational asset replacement strategy: A real options approach. European Journal of Operational Research, 210(2), 318–325.

    Google Scholar 

  • Zeng, S., Zhang, S., et al. (2011). Real options literature review. IBusiness, 3(01), 43.

    Google Scholar 

  • Zhang, F., & Jardine, A. K. (1998). Optimal maintenance models with minimal repair, periodic overhaul and complete renewal. IIE Transactions, 30(12), 1109–1119.

    Google Scholar 

  • Zhang, K., Nieto, A., & Kleit, A. N. (2015). The real option value of mining operations using mean-reverting commodity prices. Mineral Economics, 28(1–2), 11–22.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alejandro Mac Cawley.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mac Cawley, A., Cubillos, M. & Pascual, R. A real options approach for joint overhaul and replacement strategies with mean reverting prices. Ann Oper Res 286, 303–324 (2020). https://doi.org/10.1007/s10479-018-2906-z

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10479-018-2906-z

Keywords

Navigation