D. Mitra et al., ATM NETWORK DESIGN AND OPTIMIZATION - A MULTIRATE LOSS NETWORK FRAMEWORK, IEEE/ACM transactions on networking, 4(4), 1996, pp. 531-543
Asynchronous transfer mode (ATM) network design and optimization at th
e call-level may be formulated in the framework of multirate, circuit-
switched, loss networks with effective bandwidth encapsulating cell-le
vel behavior. Each service supported on the ATM network is characteriz
ed by a rate or bandwidth requirement. Future networks will be charact
erized by links with very large capacities in circuits and by many rat
es. Various asymptotic results are given to reduce the attendant compl
exity of numerical calculations. A central element is a uniform asympt
otic approximation (UAA) for link analyses. Moreover, a unified hybrid
approach is given which allows asymptotic and nonasymptotic methods o
f calculations to be used cooperatively. Network loss probabilities ar
e obtained by solving fixed-point equations. A canonical problem of ro
ute and logical network design is considered. An optimization procedur
e is proposed, which is guided by gradients obtained by solving a syst
em of equations for implied costs. A novel application of the EM. algo
rithm gives an efficient technique for calculating implied costs with
changing traffic conditions. Finally, we report numerical results obta
ined by the software package TALISMAN, which incorporates the theoreti
cal results. The network considered has eight nodes, 20 links, six ser
vices, and as many as 160 routes.