I am running a survey (via Google Forms) on behalf of an international group of researchers and librarians interested in improving overall performance of the publication system in mathematics and other subjects. Its results will be made public later this year. We aim to get responses from a large and representative sample of the world mathematical community. The results will be used to focus efforts on improvements that have borad community support. As far as I know nothing like this has been tried before. Some commercial publishers have undertaken author surveys on open access, but our survey is much more.
The survey (for editors, referees, authors, readers on mathematical journals) can be accessed at https://docs.google.com/forms/d/1r4LBUJk1VF9e4Dl4aXgS4fW-O8HR9yz1cqmXdzz0CjM/viewform?c=0&w=1&usp=mail_form_link. Google login is required for authentication and to safeguard data integrity, but no personal data will be stored.