This is what we found on Wikipedia regarding the Shrek The Musical:

Shrek the Musical is a musical with music by Jeanine Tesori and book and lyrics by David Lindsay-Abaire. It is based on the 2001 DreamWorks Animation film Shrek, along with elements of its sequels: Shrek 2, Shrek Forever After and William Steig's 1990 book Shrek!. After a trial run in Seattle, the original Broadway production opened in December 2008 and closed after a run of over 12 months in January 2010. It was followed by a tour of the United States which opened in 2010, and a re-vamped West End production from June 2011 to February 2013.

A high definition filming of the Broadway production, shot by RadicalMedia, was released on DVD, Blu-ray, and digital download on October 15, 2013, in North America and December 2, 2013, in the United Kingdom. The digital version of the film was made available on Netflix beginning in December 2013.