This week's book giveaway is in the OO, Patterns, UML and Refactoring forum. We're giving away four copies of Refactoring for Software Design Smells: Managing Technical Debt and have Girish Suryanarayana, Ganesh Samarthyam & Tushar Sharma on-line! See this thread for details.
If this was my problem I would experiment by adding a second <Connector element right after the one for port="80" in server.xml. Since it would not handle many requests you could give it fewer threads etc.