Abstract
For a complex system with one renewal and one readjustment subsystem conditions for the existence of an age-dependent preventive replacement and readjustment policy are given for increasing failure rate as well as for constant failure rate. This policy optimizes either the arising costs or profits per unit time or the system’s efficiency over an infinite planning horizon. The model is discussed with operating costs, replacement and readjustment costs as well as renewal and readjustment times and all of them are increasing with runtime.
In an example with linear cost functions and uno actu maintenance actions a complete solution for the minimization of total expected costs per unit runtime is given.
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References
Barlow, R.E., Proshan, F., Planned replacement, in: Arrow, K.J., Karlin, S., Scarf, H.: Studies in applied probability and management science, Stanford 1962, p. 63–87
Feller, W., An introduction to probability theory and its applications, Vol. I, John Wiley & Sons New York 1968
Jorgenson, D.W., McCall, J.J., Radner, R., Optimal replacement policy, North-Holland Publishing Comp. Amsterdam 1967
Sasieni, M., Yaspan, A., Friedman, L., Operations research - Methods and problems, John Wiley & Sons New York 1959
Smith, W.L., Regenerative stochastic processes, Proc. Roy. Soc. London 232(1955), Ser. A, p. 6–31
Wolff, M., Optimale Instandhaltungspolitiken in einfachen Systemen, Springer-Verlag, Berlin-Heidelberg-New York 1970
Wolff, M., Subramanian, R., Age replacement in simple systems with increasing loss function. Diskussionsarbeit Nr. 26 des Instituts für Gesellschafts-und Wirtschaftswissenschaften der Universität Bonn - Betriebswirtschaftliche Abteilung, 1972
Wolff, M.R., Subramanian, R., Optimal readjustment intervals, Operations Research 22 (1974), p. 191–197
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© 1977 Springer-Verlag Berlin · Heidelberg
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Spickenheuer, W. (1977). The Optimality of Preventive Maintenance in a Complex System. In: Albach, H., Bergendahl, G. (eds) Production Theory and Its Applications. Lecture Notes in Economics and Mathematical Systems, vol 139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46349-5_5
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DOI: https://doi.org/10.1007/978-3-642-46349-5_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08062-6
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