The Lorenz Transform approach to the Optimal Repair-Cost limit remplacement Policy with Imperfect Repair

T. Dohi; F. S. Othman; N. Kaio; Sunji Osaki

RAIRO - Operations Research (2010)

  • Volume: 35, Issue: 1, page 21-36
  • ISSN: 0399-0559

Abstract

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In this paper, we consider a repair-cost limit replacement problem with imperfect repair and develop a graphical method to determine the optimal repair-cost limit which minimizes the expected cost per unit time in the steady-state, using the Lorenz transform of the underlying repair-cost distribution function. The method proposed can be applied to an estimation problem of the optimal repair-cost limit from empirical repair-cost data. Numerical examples are devoted to examine asymptotic properties of the non-parametric estimator for the optimal repair-cost limit.

How to cite

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Dohi, T., et al. "The Lorenz Transform approach to the Optimal Repair-Cost limit remplacement Policy with Imperfect Repair." RAIRO - Operations Research 35.1 (2010): 21-36. <http://eudml.org/doc/197825>.

@article{Dohi2010,
abstract = { In this paper, we consider a repair-cost limit replacement problem with imperfect repair and develop a graphical method to determine the optimal repair-cost limit which minimizes the expected cost per unit time in the steady-state, using the Lorenz transform of the underlying repair-cost distribution function. The method proposed can be applied to an estimation problem of the optimal repair-cost limit from empirical repair-cost data. Numerical examples are devoted to examine asymptotic properties of the non-parametric estimator for the optimal repair-cost limit. },
author = {Dohi, T., Othman, F. S., Kaio, N., Osaki, Sunji},
journal = {RAIRO - Operations Research},
keywords = {Repair-cost limit; imperfect repair; Lorenz transform; nonparametric estimation; maintenance policy.; repair-cost limit; nonparametric estimation; maintenance policy},
language = {eng},
month = {3},
number = {1},
pages = {21-36},
publisher = {EDP Sciences},
title = {The Lorenz Transform approach to the Optimal Repair-Cost limit remplacement Policy with Imperfect Repair},
url = {http://eudml.org/doc/197825},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Dohi, T.
AU - Othman, F. S.
AU - Kaio, N.
AU - Osaki, Sunji
TI - The Lorenz Transform approach to the Optimal Repair-Cost limit remplacement Policy with Imperfect Repair
JO - RAIRO - Operations Research
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 1
SP - 21
EP - 36
AB - In this paper, we consider a repair-cost limit replacement problem with imperfect repair and develop a graphical method to determine the optimal repair-cost limit which minimizes the expected cost per unit time in the steady-state, using the Lorenz transform of the underlying repair-cost distribution function. The method proposed can be applied to an estimation problem of the optimal repair-cost limit from empirical repair-cost data. Numerical examples are devoted to examine asymptotic properties of the non-parametric estimator for the optimal repair-cost limit.
LA - eng
KW - Repair-cost limit; imperfect repair; Lorenz transform; nonparametric estimation; maintenance policy.; repair-cost limit; nonparametric estimation; maintenance policy
UR - http://eudml.org/doc/197825
ER -

References

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