Rudetsky and Jack Plotnick are the authors of the show, which ran off-Broadway in 2013.
The musical is back in New York as part of the York Theatre Company's 2014 Musicals in Mufti season.
The Tony-winning revival is directed by Diane Paulus.
Jeremy Herrin will make his Broadway directing debut on the project.
The restaurant honored the musical revival on its Wall of Fame.
The actress will reprise her Tony-winning role on Broadway before heading out on tour.
The Broadway pals are set to chat about her new book.
Martin will return to the Broadway cast before joining the tour in Los Angeles.
Martin takes on the role of Berthe, for which she won a 2013 Tony.
Austin Pendleton, Jackie Hoffman, and Andrea Martin will also star.