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  1. Constraint programming. Constraint programming (CP) [1] is a paradigm for solving combinatorial problems that draws on a wide range of techniques from artificial intelligence, computer science, and operations research. In constraint programming, users declaratively state the constraints on the feasible solutions for a set of decision variables.

  2. Aug 5, 2023 · Constraint programming (CP) is a methodology for modeling and solving (combinatorial) optimization and satisfaction problems [ 37 ]. Its origins are in artificial intelligence, computer science, and operations research. The classical constraint satisfaction problem is represented by a set of variables X over a domain of possible values D and a ...

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  4. 2. The Future of CP: The Science of Constraints An interesting issue to reflect on is: What are the core scientific questions that the field of CP is pursuing? In other areas, there is a ready answer to this question. For example, in theoretical computer science, the leading open challenge is to determine the fundamental limits of computation.

  5. Mar 18, 2024 · 1. Introduction. Constrained optimization, also known as constraint optimization, is the process of optimizing an objective function with respect to a set of decision variables while imposing constraints on those variables. In this tutorial, we’ll provide a brief introduction to constrained optimization, explore some examples, and introduce ...

  6. Jan 12, 2023 · There are many different ways to define and solve optimization problems. You can e.g. use greedy algorithms, constraint programming, mixed integer programming, genetic algorithms or local search. In this post, we are diving in to constraint programming. As example, the graph coloring problem is used to illustrate how constraint programming works.

  7. Jan 1, 2016 · Constraint programming is often called constraint logic programming and originates in the artificial intelligence literature in the computer science community. Here, the word programming refers to computer programming. Knuth ( 1968) defines a computer program as “an expression of a computational method in a computer language.”.

  8. Informally, a constraint on a sequence of variables is a relation on their domains. It can be viewed as a requirement that states which combinations of values from the variable domains are admitted. In turn, a constraint satisfaction problem consists of a finite set of constraints, each on a subsequence of a given sequence of variables. To ...

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