Markov decision theory has been successfully used in adaptive routing in tr
aditional circuit-switched networks. When extending Markov decision-based r
outing algorithms to future Broadband Integrated Service Digital Networks (
B-ISDNs), the required computational complexity becomes extremely high. In
this paper, we propose an approach towards adaptive routing in multi-rate n
etworks using a Markov decision theoretic framework which maintains low com
putational complexity while still providing quite good routing information.
In this approach, each link, based on PASCAL distribution, is modeled as a
one-dimensional birth-death process to reduce the state space size and a p
olicy iteration method from Markov decision theory is iteratively applied t
o achieve better network performance. Our results show that routing algorit
hms based on this approach yield better performance than least-load path ro
uting (LLP) without incurring any significant increase in computational com
plexity. (C) 2000 Elsevier Science B.V. All rights reserved.