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This volume is part of the Tutorials in Operations Research series by INFORMS. It collects tutorial chapters that were presented at the 2006 INFORMS Annual Meeting. The chapters cover both theoretical and application-oriented topics. Some key areas include: Linear programming and inequalities, and new efficient algorithms. Semidefinite programming and second-order cone programming, applied to tasks like shape-constrained regression and density estimation. Robust optimization, optimization under uncertainty, dynamic programming for resource allocation, etc. Supply chain applications (multiechelon production/inventory systems, planning for disruptions) and game theory in supply chain contexts. Also, practical aspects like using spreadsheets to enhance research productivity. The goal is to provide researchers, practitioners, and graduate students with accessible yet advanced tutorials that bridge mathematical models, computational methods, and real-world operational decision problems

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