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Titlebook: Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problem; 6th International Co Willem-Jan Hoeve

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A Shortest Path-Based Approach to the Multileaf Collimator Sequencing Problem a decomposition of an integer matrix into a weighted sequence of binary matrices whose rows satisfy a consecutive ones property. Minimising the cardinality of the decomposition is an important objective and has been shown to be strongly NP-Hard, even for a matrix restricted to a single row. We show
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Backdoors to Combinatorial Optimization: Feasibility and Optimalitye development of efficient algorithms for solving them. One such concept is that of a backdoor set—a set of variables such that once they are instantiated, the remaining problem simplifies to a tractable form. While backdoor sets were originally defined to capture structure in decision problems with
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Solution Enumeration for Projected Boolean Search ProblemsHowever, not always all parts of a solution are needed. We are thus interested in projecting solutions to a restricted vocabulary. Yet, the adaption of Boolean constraint solving algorithms turns out to be non-obvious provided one wants a repetition-free enumeration in polynomial space. We address t
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Using Model Counting to Find Optimal Distinguishing Testsms, the difficulty arises that an input pattern can generate several possible outcomes. Some of these outcomes allow to distinguish between different hypotheses about the system state, while others do not..In this paper, we present a novel approach to find, for non-deterministic systems, modeled as
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