Is there a way to restart a browser (Internet Explorer, Firefox, etc) automatically upon receiving an error such as a DNS error or Page not found?

Background: It is for a web based signage application that has intermittent network drop outs, therefore if there's no internet, and the sign tries to go to the next page, an error occurs on browser, and we get one big ugly sign. We need a way to either restart the browser, or customise displayed error messages to use javascript to try redirection to the live sign again.