On stochastic behaviors of load-sharing parallel systems

Abstract

This paper mainly investigates a general load-sharing parallel system having two units. First, we construct some comparisons among a load standby system, a warm standby system, a hot standby system and a cold standby system. Moreover, some stochastic comparisons between the load-sharing parallel system and one of its two components are obtained in the sense of the usual stochastic order. Finally, the residual life of this system and its properties are examined.

Keywords:

• Load-sharing parallel system
• warm standby system
• stochastic order

MATHEMATICS SUBJECT CLASSIFICATIONS:

• 62E15
• 60K10

Acknowledgment

The authors would like to thank the editor and two anonymous reviewers for their constructive comments and suggestions, which improved the quality of the paper.

Additional information

Funding

The work was supported by National Natural Science Foundation of China (71361020) and Hainan Key Laboratory for Computational Science and Application, Haikou, 571158, P.R. China.