Neil Walton's Homepage

Neil Walton

  I am an assistant professor in the Korteweg-de Vries Institute for Mathematics at the University of Amsterdam.

  Email: n.s.walton@uva.nl

  Seminar

  • Stochastics and Finanical Mathematics Colloquium
  • General Mathematics Colloquium

    •   My Notes

      Teaching

  • Topics in Stochastic Networks
  • Introduction to Optimization, Operations Research and Game Theory
  • Stochastic Integration

    •   Research

  • 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.