On the Allocation of Redundancies in Series and Parallel Systems

Abstract

This article studies allocation of two nonidentical standby redundancies in series and parallel systems. The optimal allocation of two available standby (active) redundancies which are related to the bolstered working components, is also discussed.

Keywords:

• Concave distribution
• Increasing concave order
• Reversed hazard rate order
• Stochastic precedence order

Mathematics Subject Classification:

• 60G10
• 62E20

Acknowledgment

Authors are grateful to two anonymous referees for their insightful comments which greatly improved the presentation of this article. This article was supported by National Natural Science Foundation of China (10771090).