@JStith Thank you for submitting your question. 

Currently there is an idea in our Idea Exchange that will help you accomplish this: 

In the meantime, there is an assets custom view filter for "asset attribute" to specify if an asset "has open tickets". You could also create a view to export and sort based on user or asset to gain a visual for the amounts. I know this is not exactly what you’re looking for, but I wanted to provide some other options that could possibly be helpful for your workflow. Here is the question this work around came from: 

I hope this helps!