Abstract
In this paper, we consider the problem of determining optimal operating conditions for a data processing system. The system is burned-in for a fixed burn-in time before it is put into field operation and, in field operation, it has a work size and follows an age-replacement policy. Assuming that the underlying lifetime distribution of the system has a bathtub-shaped failure rate function, the properties of optimal burn-in time, optimal work size and optimal age-replacement policy will be derived. It can be seen that this model is a generalization of those considered in the previous works, and it yields a better optimal operating conditions. This paper presents an analytical method for three-dimensional optimization problem. An algorithm for determining optimal operating conditions is also given.
Original language | English |
---|---|
Pages (from-to) | 31-49 |
Number of pages | 19 |
Journal | Applied Stochastic Models in Business and Industry |
Volume | 24 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2008 |
Keywords
- Age-replacement policy
- Bathtub-shaped failure rate
- Burn-in time
- Optimal operating condition
- Three-dimensional optimization problem
- Upper bound
- Work size