This is the name of a model train which Bubbles stole from a model train show in Maine, during one of their later dope operations. It was an award winning custom locomotive that was built by Patrick Swayzie. Swayzie was often accused of cheating to win his various awards by Sebastian Bach, model railroader and vocalist for Skid Row.
There is no hard evidence that Patrick Swayze, the late actor, (or indeed Sebastian Bach) had any relationship or interest in model railroading.
In the show, Bubbles is quick to convince Julian, when Swayzie's name is mentioned in his presence, that he isn't talking about 'that' Patrick Swayze. But given that Julian has a deep dislike of being reminded of his 'Dirty Dancing' days, it's unclear if Bubbles is just saying this to avoid an argument.
Also, the name of the train as marqueed at the train show spells the name of the train and as 'The Swayzie Express' (and also the same word in the episode's title), which is inconsistent with the spelling of the late actor's actual surname.
In the real world, the show's producers included a disclaimer at the beginning of each episode where this name is mentioned, indicating that the name 'Patrick Swayzie' as used in the show bears no relation to the actor.
Editor's Note: For the purposes of this wiki, all references to Patrick Swayzie are spelled the way they appear in the context of the show -- 'ZIE' and not 'ZE' -- so as to avoid confusion.