Several decomposition types of orders and related discrete structures
have been investigated so far. In this paper, we present a decomPositi
on for orders based on partial ''ignoring'' of the order. Structures t
hat are in a certain sense ''prime'' turn out to be decomposable. The
relation to other decomposition methods is analyzed. Bounds for activi
ty networks and reliability functions are obtained. (C) 1994 John Wile
y & Sons, Inc.