Reliability Research of k-out-of-n: G Supply Chain System Based on Copula

Abstract

Supply chain management has received considerable attention in the literature and it is meaningful and important to be able to measure the reliability of supply chains. In the article, the suppliers in the supply chain systems are not independent of each other and the dependency relation may be either linear or nonlinear correlation. From the view of the distribution service process, a copula-based method is proposed for analyzing the reliability of supply chains. In this article, by introducing the model of k-out-of-n: G system into the studies of supply chains, an evaluation method is suggested and the reliability indexes are obtained. Finally, a numerical example is presented to illustrate the results obtained in this article.

Keywords:

• Copula
• k-out-of-n: G system
• Reliability
• Supply chain management

Mathematics Subject Classification:

• 62xx
• 62N05

Acknowledgment

This article was supported by the National Natural Science Foundation of China (NO. 71101158).