Neil Walton's Homepage
I am an assistant professor in the Korteweg-de Vries Institute for Mathematics at the University of Amsterdam.
Stochastics and Finanical Mathematics Colloquium
General Mathematics Colloquium
Topics in Stochastic Networks
Introduction to Optimization, Operations Research and Game Theory
Stability of MaxWeight-(alpha,g),
N.S. Walton (2013). Preprint.
Optimal queue-size scaling in switched networks,
D. Shah, N. Walton, and Y. Zhong (2013). Preprint.
Network iso-elasticity and weighted α-fairness,
S.C Borst, N.S. Walton, and A.P. Zwart (2013). Preprint.
Closed queueing networks under congestion: non-bottleneck independence and bottleneck convergence,
J. Anselmi, B. D'Auria, N. Walton (2013). Mathematics of Operations Research, Accepted.
Flow level convergence and insensitivity for multi-class queueing networks
N.S. Walton (2012). Stochastic Systems,
Vol. 2, No. 1, 115-148.
A Stability Conjecture on Bandwidth Sharing Networks
N.S. Walton and M.R.H. Mandjes (2011). Queueing Systems (Open Problems Issue), Vol. 68, No. 3-4, 237-250.
Insensitive, maximum stable allocations converge to proportional fairness
N.S. Walton (2011). Queueing Systems, Vol. 68, No. 1, 51-60.
Utility Optimization in Congested Queueing Networks
N.S. Walton (2011). Journal of Applied Probability, Vol. 48, No. 1, 68-89.
Implicit optimization in congested queueing networks
N.S. Walton (2010). PhD Thesis, University of Cambridge.
Resource pooling in congested networks: proportional
fairness and product form
F.P. Kelly, L. Massoulié and N.S. Walton (2009). Queueing Systems, Vol. 63, No. 1-4, 165-194.
Proportional Fairness and its Relationship with Multi-class Queueing Networks
N.S. Walton (2009). Annals of Applied Probability, Vol. 19, No. 6, 2301-2333.