TY - JOUR
T1 - Balancing load and performance for different failure models
AU - Finkelstein, Maxim
AU - Cha, Ji Hwan
AU - Chackraborty, Niladri
N1 - Funding Information:
The authors thank the reviewers for helpful comments and advices. The work of the second author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (Grant Number: 2019R1A6A1A11051177).
Publisher Copyright:
© 2021 John Wiley & Sons, Ltd.
PY - 2022/3/1
Y1 - 2022/3/1
N2 - In this article, we discuss an optimal loading for items with lifetimes described by failure models that are popular in reliability and statistics. The obtained results can be relevant, for example, for production/manufacturing systems. The expected productivity and the mission success probability are maximized with respect to the value of a load. It is shown that the optimal load for the considered settings is not necessarily the load that maximizes the production rate. The crucial function in our discussion is the production rate over the load. It is shown that, depending on the model, the optimal load can be equal, smaller or larger than the value of the load that achieves the maximum of this function. The accelerated life and the proportional hazards failure models are considered, as well as the additive hazards model. Illustrative examples confirm our theoretical findings.
AB - In this article, we discuss an optimal loading for items with lifetimes described by failure models that are popular in reliability and statistics. The obtained results can be relevant, for example, for production/manufacturing systems. The expected productivity and the mission success probability are maximized with respect to the value of a load. It is shown that the optimal load for the considered settings is not necessarily the load that maximizes the production rate. The crucial function in our discussion is the production rate over the load. It is shown that, depending on the model, the optimal load can be equal, smaller or larger than the value of the load that achieves the maximum of this function. The accelerated life and the proportional hazards failure models are considered, as well as the additive hazards model. Illustrative examples confirm our theoretical findings.
KW - accelerated life model
KW - expected productivity
KW - mission success probability
KW - optimal load
KW - proportional hazards model
UR - http://www.scopus.com/inward/record.url?scp=85121375326&partnerID=8YFLogxK
U2 - 10.1002/asmb.2662
DO - 10.1002/asmb.2662
M3 - Article
AN - SCOPUS:85121375326
SN - 1524-1904
VL - 38
SP - 323
EP - 333
JO - Applied Stochastic Models in Business and Industry
JF - Applied Stochastic Models in Business and Industry
IS - 2
ER -