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On the Marginal Cost Approach in Maintenance

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Abstract

In this paper we investigate the conditions under which the marginal cost approach of Refs. 1–3 holds. As observed in Ref. 4, the validity of the marginal cost approach gives rise to a useful framework of single-component maintenance optimization models, which covers almost all models used in practice. For the class of unimodal finite-valued marginal cost functions, we show that these optimization models are easy to solve.

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References

  1. BERG, M., A Marginal Cost Analysis for Preventive Maintenance Policies, European Journal of Operational Research, Vol. 4, pp. 136–142, 1980.

    Google Scholar 

  2. BERG, M., The Marginal Cost Analysis and Its Application to Repair and Replacement Policies, European Journal of Operational Research, Vol. 82, pp. 214–224, 1995.

    Google Scholar 

  3. BERG, M., Economics Oriented Maintenance Analysis and Marginal Cost Approach, Reliability and Maintenance of Complex Systems, Edited by S. Özekici, Springer Verlag, Berlin, Germany, pp. 189–205, 1996.

    Google Scholar 

  4. AVEN, T., and DEKKER, R., A Useful Framework for Optimal Replacement Models, Technical Report 9618/A, Econometric Institute, Erasmus University, Rotterdam, Netherlands, 1996.

    Google Scholar 

  5. BARLOW, R. E., and PROSCHAN, F., Mathematical Theory of Reliability, Wiley, New York, New York, 1967.

    Google Scholar 

  6. FRENK, J. B. G., DEKKER, R., and KLEIJN, M. J., A Unified Treatment of Single-Component Replacement Models, Zeitschrift für Operations Research, Vol. 3, 1997.

  7. GIORGI, G., and KOMLOSI, S., Dini Derivatives in Optimization, Part 1, Rivista di Matematica per le Scienze Economiche e Sociali, Vol. 15, pp. 3–30, 1993.

    Google Scholar 

  8. ASH, R. B., Real Analysis and Probability, Academic Press, New York, New York, 1972.

    Google Scholar 

  9. TITCHMARSH, E. C., The Theory of Functions, 2nd Edition, Oxford University Press, London, England, 1975.

    Google Scholar 

  10. DEKKER, R., Integrating Optimization, Priority Setting, Planning, and Combining of Maintenance Activities, European Journal of Operational Research, Vol. 82, pp. 225–240, 1995.

    Google Scholar 

  11. BARROS, A. I., DEKKER, R., FRENK, J. B. G., and VAN WEEREN, S., Optimizing a General Replacement Model by Fractional Programming Techniques, Journal of Global Optimization (to appear).

  12. AVRIEL, M., DIEWERT, W. E., SCHAIBLE, S., and ZANG, I., Generalized Concavity, Plenum Press, New York, New York, 1988.

    Google Scholar 

  13. MIKOLÁS, M., Real Functions, Abstract Spaces, and Orthogonal Series, Akademia Kiadó, Budapest, Hungary, 1994.

    Google Scholar 

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Frenk, J.B.G., Dekker, R. & Kleijn, M.J. On the Marginal Cost Approach in Maintenance. Journal of Optimization Theory and Applications 94, 771–781 (1997). https://doi.org/10.1023/A:1022621621633

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  • DOI: https://doi.org/10.1023/A:1022621621633

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