Title

Carrots Love Tomatoes: A Mathematical Gardening Adventure

Document Type

Thesis

Publication Date

2007

Advisor

Robert Hesse, Mathematics

Abstract

Combining concepts of square-foot gardening and companion planting, we quest for the optimal vegetable garden wielding curiosity, determination, and mathematical programming techniques. The parameters of the garden lead to the formulation of a quadratic binary programming problem subject to linear constraints. Reformulation the problem as an unconstrained optimization problems allows us to use metaheuristics for the QUBO problem. We explore effective optimization methods using different applications and algorithms and compare their relative success.

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