The emergence of order in random walk resource discovery protocols

While others have attempted to determine, by way of mathematical formulae, optimal resource duplication strategies for random walk protocols, this paper is concerned with studying the emergent effects of dynamic resource propagation and replication. In particular, we show, via modelling and experimentation, that under any given decay (purge) rate the number of nodes that have knowledge of particular resource converges to a fixed point or a limit cycle. We also show that even for high rates of decay - that is, when few nodes have knowledge of a particular resource - the number of hops required to find that resource is small.

A reduced load approximation accounting for link interactions in a loss network

This paper is concerned with evaluating the performance of loss networks. Accurate determination of loss network performance can assist in the design and dimensioning of telecommunications networks. However, exact determination can be difficult and generally cannot be done in reasonable time. For these reasons there is much interest in developing fast and accurate approximations. We develop a reduced load approximation which improves on the famous Erlang fixed point approximation (EFPA) in a variety of circumstances. We illustrate our results with reference to a range of networks for which the EFPA may be expected to perform badly.

Column connection detail, Kangaroo Point House

Hand-made spotted gum column on edge of outdoor room.

West elevation, Cleveland Point House, Cleveland

Hand-drawn elevation.

Cottage, Cleveland Point House, Cleveland

Beach elevation of renovated existing cottage.

Lattice to boat house, Cleveland Point House, Cleveland

Lattice behind pull-down blind to boat house.

Beachfront elevation, Cleveland Point House, Cleveland

Timber framing to new bath house (centre), with existing buildings to either side.

Bath house, Cleveland Point House, Cleveland

New bath house under construction (centre), with existing buildings to either side.

Bath house, Cleveland Point House, Cleveland

Bath house under construction, as seen looking towards water from deck area.

Bath house, Cleveland Point House, Cleveland

As seen looking towards water from deck area.

Beachfront elevation, Cleveland Point House, Cleveland

New bath house (centre), with existing buildings to either side.

Boat house, Cleveland Point House, Cleveland

Existing boat house undergoing renovations.

Bath house hip rafters, Cleveland Point House, Cleveland

Timber framing to new bath house.

Beachfront elevation, Cleveland Point House, Cleveland

Timber framing to new bath house (centre), with existing buildings to either side.

Bath house section, Cleveland Point House, Cleveland

Section taken through new bath house.