We study a general and simple model for communication processes. In the mod
el, agents in a network (in particular, an organization) interchange inform
ation packets following simple rules that take into account the limited cap
ability of the agents to deal with packets and the cost associated with the
existence of open communication channels. Due to the limitation in the cap
ability, the network collapses under certain conditions. We focus on when t
he collapse occurs for hierarchical networks and also on the influence of t
he flatness or steepness of the structure. We find that the need for hierar
chy is related to the existence of costly connections. (C) 2001 Elsevier Sc
ience B.V. All rights reserved.