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Optimal asset replacement: Profit maximization under varying technology

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  • Yatsenko, Yuri
  • Hritonenko, Natali

Abstract

The paper analyzes a profit-maximizing serial replacement problem under variable asset productivity, operating cost, and replacement cost that depend on asset age and installation time. The majority of modern asset replacement models minimize costs. The authors examine and highlight essential differences between profit-maximizing and cost-minimizing replacement strategies in the infinite-horizon framework. Next, they construct and analyze an effective multi-cycle replacement algorithm that approximates the infinite-horizon solution with non-equal asset lifetimes. Numeric simulation illustrates theoretic outcomes and demonstrates a good performance of the constructed algorithm under different patterns of changing technology.

Suggested Citation

  • Yatsenko, Yuri & Hritonenko, Natali, 2020. "Optimal asset replacement: Profit maximization under varying technology," International Journal of Production Economics, Elsevier, vol. 228(C).
  • Handle: RePEc:eee:proeco:v:228:y:2020:i:c:s0925527320300645
    DOI: 10.1016/j.ijpe.2020.107670
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    References listed on IDEAS

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    1. Malcomson, James M., 1975. "Replacement and the rental value of capital equipment subject to obsolescence," Journal of Economic Theory, Elsevier, vol. 10(1), pages 24-41, February.
    2. Yatsenko, Yuri & Hritonenko, Natali, 2015. "Algorithms for asset replacement under limited technological forecast," International Journal of Production Economics, Elsevier, vol. 160(C), pages 26-33.
    3. Boucekkine, Raouf & Germain, Marc & Licandro, Omar, 1997. "Replacement Echoes in the Vintage Capital Growth Model," Journal of Economic Theory, Elsevier, vol. 74(2), pages 333-348, June.
    4. Yuri Yatsenko & Natali Hritonenko, 2016. "Asset replacement under improving operating and capital costs: a practical approach," International Journal of Production Research, Taylor & Francis Journals, vol. 54(10), pages 2922-2933, May.
    5. HRITONENKO, Natali & YATSENKO, Yuri, 2009. "Integral equation of optimal replacement: analysis and algorithms," LIDAM Reprints CORE 2149, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Yatsenko, Yuri & Hritonenko, Natali, 2011. "Economic life replacement under improving technology," International Journal of Production Economics, Elsevier, vol. 133(2), pages 596-602, October.
    7. Cooley, Thomas F. & Greenwood, Jeremy & Yorukoglu, Mehmet, 1997. "The replacement problem," Journal of Monetary Economics, Elsevier, vol. 40(3), pages 457-499, December.
    8. Austan Goolsbee, 1998. "The Business Cycle, Financial Performance, and the Retirement of Capital Goods," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(2), pages 474-496, April.
    9. Joseph C. Hartman & Chin Hon Tan, 2014. "Equipment Replacement Analysis: A Literature Review and Directions for Future Research," The Engineering Economist, Taylor & Francis Journals, vol. 59(2), pages 136-153, April.
    10. Jovanovic, Boyan & Yatsenko, Yuri, 2012. "Investment in vintage capital," Journal of Economic Theory, Elsevier, vol. 147(2), pages 551-569.
    11. Raouf Boucekkine & Natali Hritonenko & Yuri Yatsenko, 2014. "Optimal Investment in Heterogeneous Capital and Technology Under Restricted Natural Resource," Journal of Optimization Theory and Applications, Springer, vol. 163(1), pages 310-331, October.
    12. Nguyen, T.P. Khanh & Yeung, Thomas G. & Castanier, Bruno, 2013. "Optimal maintenance and replacement decisions under technological change with consideration of spare parts inventories," International Journal of Production Economics, Elsevier, vol. 143(2), pages 472-477.
    13. Motamedi, N. & Reza Peyghami, M. & Hadizadeh, M., 2013. "A mixed integer nonlinear programming model for the optimal repair–replacement in the firm," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 366-371.
    14. Jovanovic, Boyan & Lach, Saul, 1989. "Entry, Exit, and Diffusion with Learning by Doing," American Economic Review, American Economic Association, vol. 79(4), pages 690-699, September.
    15. Yatsenko, Yuri & Hritonenko, Natali, 2017. "Machine replacement under evolving deterministic and stochastic costs," International Journal of Production Economics, Elsevier, vol. 193(C), pages 491-501.
    16. Greenwood, Jeremy & Hercowitz, Zvi & Krusell, Per, 1997. "Long-Run Implications of Investment-Specific Technological Change," American Economic Review, American Economic Association, vol. 87(3), pages 342-362, June.
    17. Yatsenko, Yuri & Hritonenko, Natali, 2008. "Properties of optimal service life under technological change," International Journal of Production Economics, Elsevier, vol. 114(1), pages 230-238, July.
    18. Colombo, Massimo G & Mosconi, Rocco, 1995. "Complementarity and Cumulative Learning Effects in the Early Diffusion of Multiple Technologies," Journal of Industrial Economics, Wiley Blackwell, vol. 43(1), pages 13-48, March.
    19. Boyan Jovanovic & Chung-Yi Tse, 2010. "Entry and Exit Echoes," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(3), pages 514-536, July.
    20. Yuri Yatsenko & Natali Hritonenko & Seilkhan Boranbayev, 2020. "Non-equal-life asset replacement under evolving technology: A multi-cycle approach," The Engineering Economist, Taylor & Francis Journals, vol. 65(4), pages 339-362, October.
    21. Adkins, Roger & Paxson, Dean, 2013. "Deterministic models for premature and postponed replacement," Omega, Elsevier, vol. 41(6), pages 1008-1019.
    22. Stutzman, Sarah & Weiland, Brandon & Preckel, Paul & Wetzstein, Michael, 2017. "Optimal replacement policies for an uncertain rejuvenated asset," International Journal of Production Economics, Elsevier, vol. 185(C), pages 21-33.
    23. P Scarf & R Dwight & A McCusker & A Chan, 2007. "Asset replacement for an urban railway using a modified two-cycle replacement model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(9), pages 1123-1137, September.
    24. Goetz, Renan-Ulrich & Hritonenko, Natali & Yatsenko, Yuri, 2008. "The optimal economic lifetime of vintage capital in the presence of operating costs, technological progress, and learning," Journal of Economic Dynamics and Control, Elsevier, vol. 32(9), pages 3032-3053, September.
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