Analysis of Casino Shelf Shuffling Machines

• Published in 2011
• Added on 2012-01-11

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.

Links

• http://arxiv.org/abs/1107.2961
• http://arxiv.org/pdf/1107.2961v2

Other information

BibTeX entry

@article{Diaconis2011,
	key = {Diaconis2011},
	type = {article},
	title = {Analysis of Casino Shelf Shuffling Machines},
	author = {Diaconis, Persi and Fulman, Jason and Holmes, Susan},
	abstract = {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.},
	comment = {},
	date_added = {2012-01-11},
	date_published = {2011-07-01},
	urls = {http://arxiv.org/abs/1107.2961,http://arxiv.org/pdf/1107.2961v2},
	collections = {Basically physics,Probability and statistics},
	archivePrefix = {arXiv},
	arxivId = {1107.2961},
	eprint = {1107.2961},
	journal = {Analysis},
	keywords = {Combinatorics,Probability},
	month = {jul},
	pages = 23,
	url = {http://arxiv.org/abs/1107.2961 http://arxiv.org/pdf/1107.2961v2},
	year = 2011,
	primaryClass = {math.CO},
	urldate = {2012-01-11}
}