Titlebook: Decision Diagrams for Optimization; David Bergman,Andre A. Cire,John Hooker Book 2016 The Editor(s) (if applicable) and The Author(s), und

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Book 2016ments over state-of-the-art technology. The authors present chapters on the use of decision diagrams for combinatorial optimization and constraint programming, with attention to general-purpose solution methods as well as problem-specific techniques...The book will be useful for researchers and prac

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Introduction,agrams implement the five main solution strategies of general-purpose optimization and constraint programming methods: relaxation, branching search, constraint propagation, primal heuristics, and intelligent modeling. It presents a simple example to illustrate how decision diagrams can be used to so

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Historical Overview,amming. It begins with an early history of decision diagrams and their relation to switching circuits. It then surveys some of the key articles that brought decision diagrams into optimization and constraint solving. In particular it describes the development of relaxed and restricted decision diagr

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Exact Decision Diagrams, models can be used in a top-down compilation method to construct exact decision diagrams. We also present an alternative compilation method based on constraint separation. We illustrate our framework on a number of classical combinatorial optimization problems: maximum independent set, set covering

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Restricted Decision Diagrams,d diagram can be perceived as a counterpart of the concept of relaxed diagrams introduced in previous chapters, and represents an under approximation of the feasible set, the objective function, or both. We first show how to modify the top-down compilation approach to generate restricted diagrams th

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Branch-and-Bound Based on Decision Diagrams,ristics used in general-purpose optimization techniques. In particular, we show an enumeration scheme that branches on the . of a relaxed decision diagram, as opposed to variable-value assignments as in traditional branch-and-bound. We provide a computational study of our method on three classical c