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A mixed integer nonlinear programming model for the optimal repair–replacement in the firm

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  • Motamedi, N.
  • Reza Peyghami, M.
  • Hadizadeh, M.

Abstract

Optimal repair–replacement problem is an important aspect of economic decision making at the firm and aggregate levels. In this paper, we extend the continuous time optimal replacement model in the firm under technological progress by considering the possibility of repairing/replacing the machines during their lifetime period. In our model, two possible decisions can be recognized by the managers in which the machines are repaired under the efficiency condition or replaced under the availability of technological progress in the firm. As a special case, we restrict the model to the more real case in which all the growth, purchase price and repair cost functions are assumed to be in the exponential form. The solvability of the model in this case is also discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matsoc:v:66:y:2013:i:3:p:366-371
    DOI: 10.1016/j.mathsocsci.2013.07.006
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    1. Yatsenko, Yuri & Hritonenko, Natali, 2020. "Optimal asset replacement: Profit maximization under varying technology," International Journal of Production Economics, Elsevier, vol. 228(C).

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