"Weaving their way home" - meaning...?

Good day, I am reading a book about wine.

Don't understand one sentence:

For a formal dinner party, the simplest rule is a full bottle of wine per guest. If
you think this amount will leave your guests weaving their way home, don't
worry.

How should I understand the "weaving their way home" in this context?

Is it some sort of idiom?

http://www.dictionary.com/browse/weaving

Dictionary says:

Weaving = to interlace (threads, yarns, strips, fibrous material, etc.) so as to form a fabric or material.other examples have the similar meaning (for me). Using this definition of the word "weaving" in the context I have written above make the whole sentence pointless. How should I understand the "weaving their way home" in this context?Kind regards.