Bombelli A. From theORy to Application. Learning to Optimize...2024
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Bombelli A. From theORy to Application. Learning to Optimize...2024
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Description:
Textbook in PDF format
This book serves as a comprehensive roadmap for navigating the realm of Operations Research (OR). From laying down fundamental mathematical principles to crafting precise modeling techniques and their solution methods, it culminates in a panoramic view of OR models mirroring real-world operations. Delving into diverse applications-from assignment problems to network problems like graph coloring and minimum spanning trees, and navigating through routing problems that are very common in logistics-the book equips readers with practical insights. Each model is accompanied by meticulously detailed examples, seamlessly integrated with hyperlinked codes accessible via an open repository. Moreover, it introduces an engaging dimension with hyperlinks to three serious games replicating some cornerstone OR models, offering a playful yet educational environment for solo or group experimentation.
Preface.
Book Overview.
About the Authors.
Introduction to Operations Research (OR).
Introduction to serious games and gamification.
A primer on linear algebra.
Introduction to mathematical modeling.
Linearization techniques.
The simplex method.
Branch & Bound (BB).
Branch & Cut (BC).
Assignment and scheduling problems.
Packing problems.
An introduction to graph theory.
Network problems.
Routing problems.
Two-stage stochastic programming.
Bibliography.
List of Acronyms.
Index.
Copyright of Figures