8.6 NOTES

For a more detailed discussion of routing in circuit-switched networks, see [K94]. The gradient projection algorithm of section 8.3.3 is studied in [BG92].

For an analysis of the window congestion-control scheme described in section 8.3.4, see [J88, FJ91, J96, MW98]. The receiver-driven rate-based congestion control for the Internet is proposed in [GCMW99]. For a study of congestion control for multicast, see [GS99]. RED was presented in [FJ93].

For details of the ATM Forum's recommendations summarized in section 8.4.2, see [A93,A96d].

A more detailed analysis of the pricing model of section 8.4.2 can be found in [CWW96]. The formulas (8.11) and (8.12) are derived in [AMS82]. The Bahadur-Rao theorem appears in [BR60]. Our discussion is based on [H95]. There is by now a significant literature using large deviations theory to study buffer overflow probabilities and to calculate effective bandwidth; see [W86, HU88, B90, K91, GH91, CW96, DZ93, DV93, KWG93]. The small buffer analysis is developed in [SW95]. Theorem 8.4.1 is obtained independently in [CW96] and [BD94]. Admission control procedures based on effective bandwidth and decoupling bandwidth are presented in [HW94]. An introduction with an extensive bibliography to this material is given in [W95].