The behavior of a graph coloring-based, distributed load balancing alg
orithm for a network of processors is evaluated in terms of the averag
e response time of the system. A fundamental correspondence between av
erage response time and Euclidean system distance (a measure of load i
mbalance) is analytically demonstrated. This relationship leads to the
proposal of tools intended to be used in the analysis of load balanci
ng methods. Simulation studies were conducted and are found to support
the theoretical results. (C) 1995 Academic Press, Inc.