TY - JOUR
T1 - A bivariate optimal replacement policy for a system subject to a generalized failure and repair process
AU - Lee, Hyunju
AU - Cha, Ji Hwan
N1 - Funding Information:
The authors would like to thank the associate editor and referees for helpful comments and valuable suggestions. This work was supported by Priority Research Centers Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (No. 2009-0093827). This work was also supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. 2016R1A2B2014211).
Funding Information:
Priority Research Centers Program through the National Research Foundation of Korea (NRF); Ministry of Education, Science and Technology, Grant/Award Number: 2009-0093827; National Research Foundation of Korea (NRF); Korea government (MSIP), Grant/Award Number: 2016R1A2B2014211
Publisher Copyright:
© 2018 John Wiley & Sons, Ltd.
PY - 2019/5/1
Y1 - 2019/5/1
N2 - Traditionally, in the studies of the optimal maintenance policies for repairable systems, the nonhomogeneous Poisson process model, which corresponds to the minimal repair process, has been intensively applied. However, in many practical situations, the repair type is not necessarily minimal. In this article, a new repair process based on a new counting process model (so-called the generalized Polya process) is introduced. Then, the issue of the optimal replacement problem is discussed. A bivariate preventive replacement policy is developed and the properties of the optimal policy are studied. Illustrative examples are also presented. In addition, a comparison with a conventional replacement policy is performed.
AB - Traditionally, in the studies of the optimal maintenance policies for repairable systems, the nonhomogeneous Poisson process model, which corresponds to the minimal repair process, has been intensively applied. However, in many practical situations, the repair type is not necessarily minimal. In this article, a new repair process based on a new counting process model (so-called the generalized Polya process) is introduced. Then, the issue of the optimal replacement problem is discussed. A bivariate preventive replacement policy is developed and the properties of the optimal policy are studied. Illustrative examples are also presented. In addition, a comparison with a conventional replacement policy is performed.
KW - dependent increments property
KW - generalized Polya process
KW - optimal maintenance policy
KW - stochastic intensity
KW - worse than minimal repair
UR - http://www.scopus.com/inward/record.url?scp=85050539206&partnerID=8YFLogxK
U2 - 10.1002/asmb.2356
DO - 10.1002/asmb.2356
M3 - Article
AN - SCOPUS:85050539206
SN - 1524-1904
VL - 35
SP - 637
EP - 650
JO - Applied Stochastic Models in Business and Industry
JF - Applied Stochastic Models in Business and Industry
IS - 3
ER -