Nice little video there Scott. 30 Joebucks. How hard was that?
I think the name you are searching for is Gator Crimp (generically called Reusable or Field crimp).
I have been installing these crimps on all the hose I crimp for years, instead of the standard hydraulic crimp.
Trust the Gator for they are every bit as reliable as hydraulic crimps. Available in steel like regular hydraulic crimps and now also available in stainless.
The hydraulic crimp was the standard crimp for new hose for years, and for repairs you would go to a Hydraulic hose shop, auto parts store or worst case (most expensive) the carpet cleaning supply house. But nowadays the sales people at these places are trained to try to get you to buy new hose. This is where the reusable got its chance. Do it yourself repairs have changed all that. Now I just start you guys off with Gators so you can do like Scott mentioned, cut off the bad piece and re-crimp it yourself. Easy once you've learned how. See the Gator Crimp page for instructions. There's also a good thread around here called the future of solution hose repair.
Top 2 places for hose failure:
1. behind the crimp - frequency of this now reduced with the Hose Saver. Like Scott noticed, it stays put and protects the hose at its most vulnerable spot - right behind the crimp.
2. The first place your hose touches ground, 6-7 feet down from your wand, gets a lot of abuse. Protect it with 8 feet of LifeJacket or spiral wrap, both inexpensive, both (should be) in the store, both provide several benefits like protecting your legs from getting burned, both great insurance.
Here's a guy's hose that failed 7 feet down. A little nick grew into a hole from getting drug around all day.
Simple repair - just remove the Gator crimp from the end of the hose I sent you, cut off the first 7 feet and reinstall the Gator crimp, slide on the Hose Saver and reinstall your Joevalve and QD and you are back in business.
btw, Lifejacket great at the beginning of live hose reels - minimizes hose getting cooked.