Loss networks
A mathematical review paper is:
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Loss networks .
Annals of Applied Probability, 1 (1991), 319-378.
A more discursive paper, setting loss networks in a wider context, is:
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Network routing .
Philosophical Transactions of the
Royal Society A337 (1991) 343-367.
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A refinement of the Hunt-Kurtz theory of large loss networks, with an
application to virtual partitioning.
S. Zachary and I. Ziedins
Annals of Applied Probability 12 (2002), 1-22.
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Distributed admission control.
F.P. Kelly, P.B. Key and S. Zachary
IEEE Journal on Selected Areas in Communications, 18 (2000) 2617-2628.
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The effect of increasing routing choice on resource pooling.
Probability in the Engineering and Informational Sciences 12 (1998)
109-124
S.R.E. Turner
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Network programming methods for loss networks.
R.J. Gibbens and F.P. Kelly
IEEE Journal on Selected Areas in Communications, 13 (1995), 1189-1198.
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Loss networks under diverse routing: the symmetric star network.
P.J. Hunt
Advances in Applied Probability, 27 (1995) 255-272.
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Computational complexity of loss networks.
Graham Louth, Michael Mitzenmacher and Frank Kelly
Theoretical Computer Science 125 (1994) 45-59.
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Bounds on the performance of dynamic routing
for highly connected networks.
Mathematics of Operations Research 19 (1994) 1-20.
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Asymptotically optimal loss network control.
Mathematics of Operations Research 18 (1993) 880-900.
P. J. Hunt and
C. N. Laws
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Dynamic routing in multiparented networks.
IEEE/ACM Transactions on Networking 1 (1993) 261-270.
R.J. Gibbens, F.P. Kelly and S.R.E. Turner
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Least busy alternative routing in queueing and loss networks.
Probability in the Engineering and Informational Sciences 6 (1992)
439-456.
P. J. Hunt and C. N. Laws
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Routing and capacity allocation in networks with
trunk reservation.
Mathematics of Operations Research 15 (1990) 771-793.
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Limit theorems for loss networks with diverse routing.
I.B. Ziedins and F.P. Kelly
Advances in Applied Probability 21 (1989), 804-830.
- On
critically loaded loss networks.
P.J. Hunt and F.P. Kelly
Advances in Applied Probability 21 (1989), 831-841.
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Routing in circuit-switched networks: optimization,
shadow prices and decentralization .
Advances in Applied Probability 20 (1988), 112-144.
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One-dimensional circuit-switched networks .
Annals of Probability 15 (1987) 1166-1179.
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Blocking probabilities in large circuit-switched networks.
Advances in Applied Probability 18 (1986) 473-505.
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Stochastic models of computer communication systems.
Journal of the Royal Statistical Society (Series B) 47 (1985)
379-395,
with Discussion 415-428.
Frank Kelly
Statistical Laboratory,
University of Cambridge