In distributed applications, a group of multiple processes cooperate by exc
hanging messages. It is critical to support the group of application proces
ses enough quality of service (QoS) including the ordered delivery of messa
ges. The delay time and the message loss ratio are significant QoS paramete
rs. In Internet applications, the delay time and the loss ratio are si,sign
ificantly different in different communication channels. We define a novel
causality named Delta*-causality among the messages to hold in the world-wi
de environment. We discuss how to transmit messages to the destination proc
esses and how to resolve message loss and delay supporting the Delta*-causa
lity, given the requirements of delay time and message loss ratio. (C) 2000
Elsevier Science B.V. All rights reserved.