Note: This blog post is from 2015. Some content may be outdated--though not necessarily. Same with links and subsequent comments from myself or others. Corrections are welcome, in the comments. And I may revise the content as necessary.If you're running CF 10 or above, there was a very interesting post on the Adobe CF blog, from July 19 2015, entitled, Configuring Status Worker in Connectors. The Adobe blog post title may not have caught your attention, but it's about setting up a lightweight and built-in Tomcat monitoring feature for observing the status of the Tomcat web server connector.
You may want to consider enabling it, but I would add some caveats and observations that I share below. Note that it's really quite easy to enable, and DOES NOT require a restart of CF (only of your web server, or technically in IIS, a recycling of the application pool/s--a web site restart is not enough) to take effect.