A note on signature‐based expressions for the entropy of mixed r‐out‐of‐ n systems. (17th February 2014)

• Record Type: Journal Article
• Authors: Toomaj, Abdolsaeed; Doostparast, Mahdi
• Is Part Of: Naval research logistics. Volume 61:Number 3(2014:Apr.)
• Page Start: 202
• Page End: 206
• Publication Date: 2014-02-17
• Subjects: Logistics, Naval -- Periodicals; Supplies and stores -- Periodicals; 359.07
• DOI: 10.1002/nav.21577
• Languages: English
• ISSNs: 0894-069X

Abstract

<abstract abstract-type="main"> <title>Abstract</title> <p>We provide an expression for the Shannon entropy of mixed <italic>r</italic>‐out‐of‐ <italic>n</italic> systems when the lifetimes of the components are independent and identically distributed. The expression gives the system's entropy in terms of the system signature, the distribution and density functions of the lifetime model, and the information measures of the beta distribution. Bounds for the system's entropy are obtained by direct applications of the concavity of the entropy and the information inequality.Copyright © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 202–206, 2014</p> </abstract>