Optimal Opportunistic Maintenance Policy for a Two-Unit System

This paper presents a maintenance policy for a system
consisting of two units. Unit 1 is gradually deteriorating and is
subject to soft failure. Unit 2 has a general lifetime distribution
and is subject to hard failure. Condition of unit 1 of the system
is monitored periodically and it is considered as failed when its
deterioration level reaches or exceeds a critical level N. At the
failure time of unit 2 system is considered as failed, and unit 2
will be correctively replaced by the next inspection epoch. Unit 1
or 2 are preventively replaced when deterioration level of unit 1
or age of unit 2 exceeds the related preventive maintenance (PM)
levels. At the time of corrective or preventive replacement of unit
2, there is an opportunity to replace unit 1 if its deterioration
level reaches the opportunistic maintenance (OM) level. If unit
2 fails in an inspection interval, system stops operating although
unit 1 has not failed. A mathematical model is derived to find
the preventive and opportunistic replacement levels for unit 1 and
preventive replacement age for unit 2, that minimize the long run
expected average cost per unit time. The problem is formulated and
solved in the semi-Markov decision process (SMDP) framework.
Numerical example is provided to illustrate the performance of the
proposed model and the comparison of the proposed model with an
optimal policy without opportunistic maintenance level for unit 1 is
carried out.

Authors:

• Nooshin Salari
• Viliam Makis
• Jane Doe

Keywords:

• Condition-based maintenance
• opportunistic maintenance
• preventive maintenance
• two-unit system.

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