11am, Monday September 4th, 2006
M345 (Building 28)
Multiserver queueing systems with retrials and losses
Aidan Sudbury
School of Mathematical
Sciences, Monash University
Consider a crystal surface to which gas molecules can bind. If the
surface is a d-dimensional lattice
and each gas molecule covers two adjacent sites, then binding ceases
when the only empty sites are singletons. This is the famous dimer
problem for which the limiting proportion of occupied sites is simple
to calculate only in one dimension.
In this talk I shall give a general formula for the mean time until the
reaction ceases for the dimer process and several others.
Convenor:Aidan Sudbury