International Journal of Reliability and Applications
- Volume 4 Issue 2
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- Pages.51-56
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- 2003
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- 1598-0073(pISSN)
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- 2283-8914(eISSN)
An Economic Design of a k-out-of-n System
- Yun, Won-Young (Department of Industrial Engineering Pusan National University) ;
- Kim, Gue-Rae (Department of Industrial Engineering Pusan National University) ;
- Gopi Chattopadhyay (School of Mechanical, Manufacturing and Medical Engineering Queensland University of Technology)
- Published : 2003.06.01
Abstract
A k-out-of-n system with n identical and independent components is considered in which the components takes two types of function: 0 (open-circuit) or 1 (closed) on command (e.g. electromagnetic relays and solid state switches). Components are subject to two types of failure on command: failure to close or failure to open. In our k-out-of-n system, failure of (n-k)+1 or more components to close causes to the close failure of the system, or failure of k or more components to open causes the open failure of the system. The long-run average cost rate is obtained. We find the optimal k minimizing the long run average cost rate for given n. A numerical example is presented.