Date of Award
12-2012
Document Type
Thesis
Degree Name
Master of Science (MS)
Legacy Department
Mathematical Science
Committee Chair/Advisor
Belotti, Pietro
Committee Member
Adams , Warren
Committee Member
Saltzman , Matthew
Abstract
This paper characterizes the convex hull of the set of n-ary vectors that are lexicographically less than or equal to a given such vector. A polynomial number of facets is shown to be sufficient to describe the convex hull. These facets generalize the family of cover inequalities for the binary case. They allow for advances relative to both the modeling of integer variables using base-n expansions, and the solving of n-ary knapsack problems with weakly super-decreasing coefficients.
Recommended Citation
Shen, Ruobing, "Convex Hull Characterization of Special Polytopes in n-ary Variables" (2012). All Theses. 1552.
https://tigerprints.clemson.edu/all_theses/1552