Senior Honors Projects, 2010-current

Date of Award

Spring 2016

Document Type

Dissertation/Thesis

Degree Name

Bachelor of Science (BS)

Department

Department of Mathematics and Statistics

Advisor(s)

Edwin O'Shea, Ph.D

Abstract

Integer programming can be used to find upper and lower bounds on the cells of a multi-dimensional contingency table using the information from the released margins. The linear relaxation of these programs also provides bounds and the discrepancy between these bounds, the integer programming gap, can be large. While the more notable examples of large gaps have been shown to be rare, here we provide some results on the rarity of large gaps on small tables.

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