Optimization of Linear Discrete Systems: An Approach to the Staircase Problem (Classic Reprint) - Softcover

Hubert Tavernier

 
9781332273300: Optimization of Linear Discrete Systems: An Approach to the Staircase Problem (Classic Reprint)

Synopsis

This book delves into the complexities of optimizing linear discrete systems with a focus on the staircase problem. The author draws upon concepts from both mathematical programming and optimal control theory to offer a comprehensive and theoretically grounded approach to the subject. The book begins by establishing the foundations of feasibility and controllability within the framework of the staircase problem. It then explores the intricacies of optimization using a dynamic programming perspective, presenting a novel method for reformulating the problem as a decoupled optimization problem. The author also discusses the advantages of this approach in designing practical algorithms. The book's insights contribute to a deeper understanding of the staircase problem and provide valuable guidance for long-range planning and decision-making in dynamic environments. By considering both short and medium-range decisions, the author demonstrates how to effectively balance immediate returns with long-term goals, an approach particularly relevant in fields such as production, economics, and public policy.

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