Mathematical Methods of Operations Research

, Volume 45, Issue 3, pp 437–454 | Cite as

A unified treatment of single component replacement models

  • Hans Frenk
  • Rommert Dekker
  • Marcel Kleijn


In this paper we discuss a general framework for single component replacement models. This framework is based on the regenerative structure of these models and by using results from renewal theory a unified presentation of the discounted and average finite and infinite horizon cost models is given. Finally, some well-known replacement models are discussed, and making use of the previous results an easy derivation of their cost functions is presented.

Key words

Maintenance Renewal Theory Cost Intensity Function 


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Copyright information

© Physica-Verlag 1997

Authors and Affiliations

  • Hans Frenk
    • 1
  • Rommert Dekker
    • 1
  • Marcel Kleijn
    • 1
  1. 1.Econometric InstituteErasmus University RotterdamDR RotterdamThe Netherlands

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