Many casinos routinely use mechanical card shuffling machines. We were asked to evaluate a new product, a shelf shuffler. This leads to new probability, new combinatorics and to some practical advice which was adopted by the manufacturer. The interplay between theory, computing, and real-world application is developed.
"Analysis of casino shelf shuffling machines." Ann. Appl. Probab. 23 (4) 1692 - 1720, August 2013. https://doi.org/10.1214/12-AAP884