Browsing by Author "Ngo, HQ"

Now showing 1 - 2 of 2

Optimal consecutive-k-out-of-(2k+1): G cycle
(2001-01-01)
Du, DZ
;
Hwang, FK
;
Jung, Y
;
Ngo, HQ
;
應用數學系
We present a complete proof for the invariant optimal assignment for consecutive-k-out-of-(2k + 1): G cycle, which was proposed by Zuo and Kao in 1990 with an incomplete proof, pointed out recently by Jalali, Hawkes, Cui and Hwang.
Optimal consecutive-k-out-of-n : G cycle for n <= 2k+1
(2002)
Du, DZ
;
Hwang, FK
;
Jia, XH
;
Ngo, HQ
;
應用數學系
A cyclic consecutive-k-out-of-n : G system consists of n components lying on a cycle. Those components are exchangeable but may have different working probabilities. The system works if and only if there are k consecutive components at work. What is the optimal assignment of components for maximizing the reliability of the system? Does the optimal assignment depend on the working probability values of components? For k less than or equal to n less than or equal to 2k+1, Zuo and Kuo in 1990 proposed a solution independent from the working probability values of components, called the invariant optimal assignment. However, their proof is incomplete, pointed out recently by Jalali et al. [ The Optimal Consecutive-k-out-of-n : G Line for n less than or equal to 2k, manuscript, 1999]. We present a complete proof in this paper.