Date of Award


Degree Type


Degree Name



Mathematics and Statistics

First Advisor

Caron, R.



Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.


In this thesis we present Boneh's Set Covering (SC) approach to the redundancy detection problem, and we show that his approach is also applicable to the related problem of finding a Prime Representation (PR), an Irreducible Infeasible System (IIS) or a Minimal Infeasible System (MIS). In order to generate the SC matrix E, we need a probabilistic method for sampling points in Rn. Consequently we can assign a detection probability to each row of E, and we show that if a row of E has a zero detection probability, then it must correspond to what we call a local quasi-minimizer We show that convex systems have no such local quasi-minimizers.Dept. of Economics, Mathematics, and Statistics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1999 .F46. Source: Masters Abstracts International, Volume: 39-02, page: 0516. Adviser: Richard J. Caron. Thesis (M.Sc.)--University of Windsor (Canada), 1999.