Note: the optional acknowledgments page follows the same format as the abstract page.

The title is centered in all capital letters one

ABSTRACT

keyboard return below the top one- inch

text margin.

The solving of large, real world, combinatorial optimization problems has been of

interest to the operations research community for some time. Because the algorithms

used in solving these problems tend to have high computational time complexities

(Order N2 or greater), even the theoretical solutions are difficult to achieve. Dealing with

such problems in an industrial environment where other factors such as human

interaction and non-determinism are present make the problem solution, and further, the

implementation of the results, an even greater challenge. The contents of this document

describe a method that can be used to solve these problems in an industrial

environment. More specifically, the problems considered involve multiple objectives,

each objective either being a combinatorial optimization problem or one that is

somewhat subjective in its measurement. The method developed, which is grounded in

the Analytic Hierarchy Process, is then used to solve a life optimation problem at the

Coors Brewery in Golden, Colorado.

The first page of the

abstract is numbered

Roman numeral iii.

iii