Table of ContentsColumn Generation Contents A Classical Paper : The Cutting Stock Problem The Cutting Stock Problem ... The Cutting Stock Problem ... The Cutting Stock Problem ... Basic Observations LP Column Generation Historical Perspective Historical Perspective : a Dual Approach Dantzig-Wolfe Decomposition : the Principle Dantzig-Wolfe Decomposition : Substitution Dantzig-Wolfe Decomposition : The Master Problem Dantzig-Wolfe Decomposition : The Column Generator Dantzig-Wolfe Decomposition : Block Angular Structure Dantzig-Wolfe Decomposition : Algorithm Dantzig-Wolfe Decomposition : a Lower Bound Lagrangian Relaxation Computes the Same Lower Bound Dantzig-Wolfe vs Lagrangian Decomposition Relaxation Equivalencies Equivalencies ... Equivalencies ... The Cutting Stock Problem : Kantorovich (1960/1939) The Cutting Stock Problem : Kantorovich ... The Cutting Stock Problem : Valerio de Carvalhó (1996) The Cutting Stock Problem : Valerio de Carvalhó ... The Cutting Stock Problem : Valerio de Carvalhó ... The Cutting Stock Problem : Desaulniers et al. (1998) IP Column Generation Integrality Property Integrality Property ... IP Column Generation : Branch-and-... IP Column Generation : Branch-and-... IP Column Generation: Branch-and-... Application to Vehicle Routing and Crew Scheduling Problems (1981 - …) Resource Constrained Shortest Path Problem on G=(N,A) Integer Multi-Commodity Network Flow Structure Vehicle Routing and Crew Scheduling Problems ... IP Column Generation : Acceleration Techniques IP Column Generation : Acceleration Techniques ... Stabilized Column Generation Concluding Remarks “Bridging Continents and Cultures” | Author: Jacques Desrosiers |