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Optimal replacement policy following the expiration of k0-renewing replacement warranty for a repairable system
Journal of the Korean Data & Information Science Society 2018;29:1605-13
Published online November 30, 2018
© 2018 Korean Data and Information Science Society.

Ki Mun Jung1

1Division of Mathematics and Applied Statistics, Kyungsung University
Correspondence to: Professor, Division of Mathematics and Applied Statistics, Kyungsung University, Busan, 48434, Korea. E-mail :
This research was supported by Kyungsung University Research Grants in 2017.
Received October 30, 2018; Revised November 16, 2018; Accepted November 20, 2018.
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Jung (2018) suggest the k0-renewing replacement warranty (k0-RRW) of a repairable system. This paper proposes the replacement model following the expiration of k0- renewing replacement warranty and then the optimal replacement period is determined from the user’s point of view. Under k0-RRW, the failure of the system up to k0 times is replaced by a new system by the manufacturer and the warranty period will be renewed again. We derive the expressions for the expected cycle length, the expected total cost and the expected cost rate per unit time for our model. As the criteria to determine the optimality of the replacement policy, we consider the expected cost rate per unit time from the user’s perspective. Finally, the numerical examples are presented for illustrative purpose.
Keywords : Expected cost rate per unit time, k0-renewing replacement warranty, optimal replacement periiod, replacement model.