A Group Theoretic Integer Programming Algorithm: System Design and Computational Experience (Classic Reprint) - Softcover

George Anthony Gorry

 
9781334213656: A Group Theoretic Integer Programming Algorithm: System Design and Computational Experience (Classic Reprint)

Synopsis

This book introduces a group theoretic integer programming algorithm. This approach to optimization problems transforms them into equations of elements from a finite abelian group, a classical approach of number theory. The book differs from existing theory by accounting for non-negativity constraints and selection of optimal solutions by objective function. Insights through computational experience have indicated that group-theoretic IP methods provide both qualitative and quantitative understanding of the structure of integer programming problems. Overall, this book presents an algorithm system that can be used to find optimal solutions to integer programming problems that can be applied to a wide variety of real-world problems.

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