On the Use of the Importance Measure for Multi-State Repairable k-out-of-n: G Systems

Abstract

Importance measures in reliability systems are used to identify weak components in contributing to proper functioning of the system. Traditional importance measures mainly concern the change of the system reliability as the change of the reliability of one component and seldom consider the expected number of repairs of the objective component in unit time. This paper proposes an improvement potential rate importance (IPR) to verify the effectiveness of the improvement in system reliability for multi-state repairable k-out-of-n: G systems. Then the comparisons between IPR and Birnbaum importance are discussed. Finally, a case study is given to demonstrate the proposed IPR.

Keywords:

• Reliability
• Importance measure
• Multi-state k-out-of-n: G systems
• Improvement
• Repair.

Mathematics Subject Classification:

• 90B25.