[1]

M. Abramowitz and J.A. Stegun (eds.),*Handbook of Mathematical Functions* (Dover, New York, 1970), ch. 19.

[2]

J.M. Akinpelu, The overload performance of engineered networks with nonhierarchical and hierarchical routing, AT&T Bell Labs. Tech. J. 63(1984)1261–1281.

[3]

G.R. Ash, R.H. Cardwell and R.P. Murray, Design and optimization of networks with dynamic routing, Bell. Syst. Tech. J. 60(1981)1787–1820.

[4]

G.R. Ash, A.H. Kafker and K.R. Krishnan, Servicing and real-time control of networks with dynamic routing, Bell Syst. Tech. J. 60(1981)1821–1845.

[5]

G.R. Ash, Use of a trunk status map for real-time DNHR,*ITC 11*, Kyoto (1985).

[6]

G.R. Ash, J.-S. Chen, A.E. Frey and B.D. Huang, Real-time network routing in an integrated network,*ITC 13*, Copenhagen, ed. A. Jensen and V.B. Iverson (Elsevier, 1991), pp. 187–194.

[7]

W.H. Cameron, J. Regnier, P. Galloy and A.M. Savoie, Dynamic routing for intercity telephone networks,*ITC 10*, Montreal (1983), Paper 3.2-3.

[8]

F. Caron, Results of the Telecom Canada high performance routing trial,*ITC 12*, Torino (1988), Paper 2.2A.2.

[9]

A. Girard, Blocking probability of noninteger groups with trunk reservation. IEEE Trans. Commun. COM-33(1985)113–120.

CrossRef[10]

R.J. Gibbens, Dynamic routing in circuit-switched networks: The dynamic alternative routing strategy, Ph.D. Thesis, University of Cambridge (1988).

[11]

R.J. Gibbens, F.P. Kelly and P.B. Key, Dynamic alternative routing — modelling and behavior,*ITC 12*, Torino (1988), Paper 3.4A.3.

[12]

A. Girard and M.-A. Bell, Blocking evaluation for networks with residual capacity adaptive routing, IEEE Trans. Commun. COM-37(1989)1372–1380.

CrossRef[13]

R.J. Gibbens and F.P. Kelly, Dynamic routing in fully connected networks, IMA J. Math. Control Info. 7(1990)77–111.

MathSciNet[14]

P.J. Hunt and F.P. Kelly, On critically loaded loss networks, Adv. Appl. Prob., to appear.

[15]

D.L. Jagerman, Some properties of the Erlang loss function, Bell Syst. Tech. J. 53(1974)525–557.

[16]

S. Katz, Statistical performance analysis of a switched communication network,*ITC 5*, New York (1967), pp. 566–575.

[17]

F.P. Kelly, Blocking probabilities in large circuit-switched networks, Adv. Appl. Prob. 18(1986)473–505.

[18]

R.S. Krupp, Stabilization of alternate routing networks,*Proc. IEEE Int. Conf. on Communications*, Philadelphia (1982), Paper 31.2.

[19]

K.R. Krishnan and T.J. Ott, Forward-looking routing: A new state-dependent routing scheme,*ITC 12*, Torino (1988), Paper 3.4A.4.

[20]

V.G. Lazarev and S.M. Starobinets, The use of dynamic programming for optimization of control networks of commutation of channels, Eng. Cyber. 3(1977)107–116.

[21]

P.M. Lin, B.J. Leon and C.R. Stewart, Analysis of circuit switched networks employing originating office control with spill, IEEE Trans. Commun. COM-26(1978)754–765.

CrossRef[22]

V. Marbukh, An asymptotic study of a large fully connected communication network with reroutes, Problemy Peredachi Informatsii 3(1981)89–95.

[23]

V. Marbukh, Study of a fully connected channel communication network with many nodes and circumventing routes, Automatika i Telemakhanika 12(1983)86–94.

[24]

J. McKenna, D. Mitra and K.G. Ramakrishnan, A class of closed Markovian queueing networks: Integral representations, asymptotic expansions, generalizations, Bell. Syst. Tech. J. 60(1981)599–641.

[25]

D. Mitra and A. Weiss, The transient behavior in Erlang's model for large trunk groups and various traffic conditions,*ITC 12*, Torino (1988), Paper 5.1B.4.

[26]

D. Mitra, R.J. Gibbens and B.D. Huang, State-dependent routing on symmetric loss networks with trunk reservations, I. IEEE Trans. Commun., to appear.

[27]

D. Mitra, Optimal design of windows for high speed data networks,*Proc. IEEE INFOCOM'90* (IEEE Computer Society Press, 1990), pp. 1156–1163.

[28]

D. Mitra and I. Mitrani, Asymptotic optimality of the go-back-*n* protocol in high speed data networks with small buffers,*Data Communication Systems*, ed. G. Pujolle and R. Puigjaner,*Proc. 4th Int. Conf. on Data Communication Systems and Their Performance*, IFIP, Barcelona (North-Holland, 1991), pp. 55–68.

[29]

T.J. Ott and K.R. Krishnan, State-dependent routing of telephone traffic and the use of separable routing schemes,*ITC 11*, Kyoto (1985).

[30]

M. Pioro, Design methods for non-hierarchical circuit switched networks with advanced routing, Wydawnictwa Politechniki Warszawskicj, Warszawa (1989).

[31]

M. Reiman, Asymptotically optimal trunk reservation for large trunk groups,*Proc. 28th Conf. on Decision and Control*, IEEE, Tampa (1989), pp. 2536–2541.

[32]

W. Whitt, Heavy traffic approximations for service systems with blocking, AT&T Tech. J. 63(1984)689–708.

[33]

W. Whitt, Blocking when service is required from several facilities simultaneously, AT&T Tech. J. 4(1985)1807–1856.

[34]

E.W.M. Wong and T.-S. Yum, Maximum free circuit routing in circuit-switched networks,*Proc. IEEE INFOCOM'90* (IEEE Computer Society Press, 1990), pp. 934–937.