Citation:
S. Wu. Optimal inspection policy for three-state systems monitored by variable sample
size control charts. International Journal of Advanced Manufacturing Technology, Volume 55, Issue 5-8, pp689-697.
Abstract:
This paper presents the expected long-run cost per unit time for a system
monitored by an adaptive control chart with variable sample sizes: if the
control chart signals that the system is out of control, the sampling which
follows will be conducted with a larger sample size. The system is supposed to
have three states: in-control, out-of-control, and failed. Two levels of repair
are applied to maintain the system. A minor repair will be conducted if an
assignable cause is confirmed by an inspection, and a major repair will be
performed if the system fails. Both the minor and major repairs are assumed to
be perfect. We derive the expected long-run cost per unit time, which can be
used to obtain the optimal inspection policy. Numerical examples are conducted
to validate the derived cost.