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On the mean residual lifetime of consecutive k-out-of-n systems

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Abstract

In recent years, consecutive systems were shown to have many applications in various branches of science such as engineering. This paper is a study on the stochastic and aging properties of residual lifetime of consecutive k-out-of-n systems under the condition that n−r+1, r≤n, components of the system are working at time t. We consider the linear and circular consecutive k-out-of-n systems and propose a mean residual lifetime (MRL) for such systems. Several properties of the proposed MRL is investigated. The mixture representation of the MRL of the systems with respect to the vector of signatures of the system is also studied.

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Authors and Affiliations

  1. Department of Statistics, University of Isfahan, Isfahan, 81744, Iran

    E. T. Salehi & M. Asadi

  2. Department of Industrial Engineering, Atilim University, 06836, Incek, Ankara, Turkey

    S. Eryılmaz

Authors
  1. E. T. Salehi
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  2. M. Asadi
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  3. S. Eryılmaz
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Correspondence to M. Asadi.

Additional information

Communicated by Domingo Morales.

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Salehi, E.T., Asadi, M. & Eryılmaz, S. On the mean residual lifetime of consecutive k-out-of-n systems. TEST 21, 93–115 (2012). https://doi.org/10.1007/s11749-011-0237-3

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  • DOI: https://doi.org/10.1007/s11749-011-0237-3

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