This tutorial on how to use Arcview Network Analyst was developed by Jan Husdal in 2002, while at the University of Utah, Salt Lake City, USA. Revised in 2008. It comes complete with exercise data and solutions. You can find the download link for the data and the solution to the exercises in the menu bar above.
More information an ArcView Network Analyst can also be found in the books in the sidebar, particularly in Extending ArcView GIS, which includes in-depth information on how to use ArcView Network Analyst. A very brief and limited chapter can be found in Getting to Know ArcView GIS, which is ok if you don’t intend on running advanced analyses or Avenue scripts.