I had a washer & dryer relocated to my basement several months ago and just recently have had a flooding problem. The washer drain tees into an existing kitchen sink drain, coming from the floor above. We rarley fill the kitchen sink because we have a dishwasher, but the wife gave the dogs a bath, filling then draining the sink. This caused water to pour out of the washing machine drain in the basement below. I was wondering if an automatic vent placed somewhere in line could solve this problem. I think the sink itself is vented because I can see a vent pipe coming out of the roof in it's general location. If an auto vent might help, where would be a good location for installation? The washing machine has no problem draining. The problem only occurs when draining a full kitchen sink.
I have created a crude illustration of the situation here: