Hm. Sun et Sp. Shieh, OPTIMAL INFORMATION-DISPERSAL FOR INCREASING THE RELIABILITY OF A DISTRIBUTED SERVICE, IEEE transactions on reliability, 46(4), 1997, pp. 462-472
This paper investigates the (m,n) information dispersal scheme (IDS) u
sed to support fault-tolerant distributed servers in a distributed sys
tem. In an (m, n)-IDS, a file M is broken into n pieces such that any
m pieces collected suffice for reconstructing M. The reliability of an
(m, n)-IDS is primarily determined by 3 important factors: n = inform
ation dispersal degree (IDD), n/m = information expansion ratio (IER),
P-a = success-probability of acquiring a correct piece. It is difficu
lt to determine the optimal IDS with the highest reliability from very
many choices. Our analysis shows: several novel features of (m, n)-ID
S which can help reduce the complexity of finding the optimal IDS with
the highest reliability; that an IDS with a higher IER might not have
a higher reliability, even when P-s-->1. Based on the theorems given
herein, we have developed a method that reduces the complexity for com
puting the highest reliability from, O(v) [v = number of servers] to O
(1) when the 'upper bound of the IER' = 1, orO(v(2)) to O(1) when the
'upper bound of the IER' > 1.