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Branch and Bound Algorithms - Principles and Examples.

Branch and Bound Algorithms - Principles and Clausen March 12, 1999 Contents1 B&B - terminology and general Bounding Strategy for selecting next Branchingrule.. Producinganinitialsolution.. 193 Personal Experiences with GPP and 244 Ideas and Pitfalls for B&B PointsforsequentialB&B .. PointsforparallelB&B.. 26 AbstractA large number of real-world planning problems called combinatorialoptimization problems share the following properties: They are optimiza-tion problems, are easy to state, and have a nite but usually very largenumber of feasible solutions. While some of these as the Shortest Pathproblem and the Minimum Spanning Tree problem have polynomial algo-ritms, the majority of the problems in addition share the property that nopolynomial method for their solution is known. Examples here are vehicle Department of Computer Science, University of Copenhagen, Universitetsparken 1, DK-2100 Copenhagen, , crew scheduling, and production planning.

Branch and Bound Algorithms - Principles and Examples. Jens Clausen March 12, 1999 Contents 1 Introduction. 2 2 B&B - terminology and general description. 4

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