Balancing load and performance for different failure models

Maxim Finkelstein, Ji Hwan Cha, Niladri Chackraborty

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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.

Original languageEnglish
Pages (from-to)323-333
Number of pages11
JournalApplied Stochastic Models in Business and Industry
Issue number2
StatePublished - 1 Mar 2022

Bibliographical note

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.


  • accelerated life model
  • expected productivity
  • mission success probability
  • optimal load
  • proportional hazards model


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