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A constraint satisfaction problem (CSP) is a computational problem where the input consists of a finite set of variables and a finite set of constraints, and where the task is to decide whether there exists a satisfying assignment of values…

Computational Complexity · Computer Science 2019-04-23 Manuel Bodirsky

We continue the investigation of polynomial-time sparsification for NP-complete Boolean Constraint Satisfaction Problems (CSPs). The goal in sparsification is to reduce the number of constraints in a problem instance without changing the…

Computational Complexity · Computer Science 2018-09-18 Hubie Chen , Bart M. P. Jansen , Astrid Pieterse

Spatial puzzles composed of rigid objects, flexible strings and holes offer interesting domains for reasoning about spatial entities that are common in the human daily-life's activities. The goal of this work is to investigate the automated…

Artificial Intelligence · Computer Science 2019-03-11 Thiago Freitas dos Santos , Paulo E. Santos , Leonardo A. Ferreira , Reinaldo A. C. Bianchi , Pedro Cabalar

Constraint Programming (CP) solvers typically tackle optimization problems by repeatedly finding solutions to a problem while placing tighter and tighter bounds on the solution cost. This approach is somewhat naive, especially for…

Logic in Computer Science · Computer Science 2013-05-09 Nicholas Downing , Thibaut Feydy , Peter J. Stuckey

The Whitehead Minimization problem is a problem of finding elements of the minimal length in the automorphic orbit of a given element of a free group. The classical algorithm of Whitehead that solves the problem depends exponentially on the…

Group Theory · Mathematics 2007-05-23 A. D. Myasnikov , R. M Haralick

The Minimum Set Cover Problem (MSCP) is a classical NP-hard combinatorial optimization problem with numerous applications in science and engineering. Although a wide range of exact, approximate, and metaheuristic approaches have been…

Artificial Intelligence · Computer Science 2026-04-07 Isidora Hernández , Héctor Ferrada , Cristóbal A. Navarro

We present an efficient algorithm to solve semirandom planted instances of any Boolean constraint satisfaction problem (CSP). The semirandom model is a hybrid between worst-case and average-case input models, where the input is generated by…

Computational Complexity · Computer Science 2023-10-02 Venkatesan Guruswami , Jun-Ting Hsieh , Pravesh K. Kothari , Peter Manohar

Heuristic algorithms have shown a good ability to solve a variety of optimization problems. Stockpile blending problem as an important component of the mine scheduling problem is an optimization problem with continuous search space…

Neural and Evolutionary Computing · Computer Science 2021-02-11 Yue Xie , Aneta Neumann , Frank Neumann

Constraint satisfaction problems (CSPs) are ubiquitous in theoretical computer science. We study the problem of StrongCSPs, i.e. instances where a large induced sub-instance has a satisfying assignment. More formally, given a CSP instance…

Data Structures and Algorithms · Computer Science 2022-05-24 Suprovat Ghoshal , Anand Louis

Recently, neural heuristics based on deep reinforcement learning have exhibited promise in solving multi-objective combinatorial optimization problems (MOCOPs). However, they are still struggling to achieve high learning efficiency and…

Machine Learning · Computer Science 2023-10-25 Jinbiao Chen , Jiahai Wang , Zizhen Zhang , Zhiguang Cao , Te Ye , Siyuan Chen

In a facility with front room and back room operations, it is useful to switch workers between the rooms in order to cope with changing customer demand. Assuming stochastic customer arrival and service times, we seek a policy for switching…

Artificial Intelligence · Computer Science 2011-11-02 Daria Terekhov , J. Christopher Beck

Constraint Satisfaction Problem (CSP) is a framework for modeling and solving a variety of real-world problems. Once the problem is expressed as a finite set of constraints, the goal is to find the variables' values satisfying them. Even…

Discrete Mathematics · Computer Science 2019-05-23 Rachid Oucheikh , Ismail Berrada , Outman El Hichami

In this article, we provide a new algorithm for solving constraint satisfaction problems over templates with few subpowers, by reducing the problem to the combination of solvability of a polynomial number of systems of linear equations over…

Logic · Mathematics 2017-11-07 Dejan Delic , Amir El-Aooiti

In this work we introduce a novel approach, based on sampling, for finding assignments that are likely to be solutions to stochastic constraint satisfaction problems and constraint optimisation problems. Our approach reduces the size of the…

Optimization and Control · Mathematics 2015-09-22 Roberto Rossi , Brahim Hnich , S. Armagan Tarim , Steven Prestwich

A mixed integer maximization problem involving several additional constraints defined with both a lower and an upper bound is considered. It is assumed that one of such constraints is more restrictive than the others. As it can be seen as a…

Optimization and Control · Mathematics 2026-02-18 Christian Artigues , Pascale Bendotti , Alexandre Heintzmann , Sandra Ulrich Ngueveu , Cécile Rottner

The two-dimensional non-oriented bin packing problem with due dates packs a set of rectangular items, which may be rotated by 90 degrees, into identical rectangular bins. The bins have equal processing times. An item's lateness is the…

Data Structures and Algorithms · Computer Science 2017-11-09 S. Polyakovskiy , R. M'Hallah

Constraint satisfaction problems (CSPs) are an important formal framework for the uniform treatment of various prominent AI tasks, e.g., coloring or scheduling problems. Solving CSPs is, in general, known to be NP-complete and…

Computational Complexity · Computer Science 2020-07-29 Hubie Chen , Georg Gottlob , Matthias Lanzinger , Reinhard Pichler

The Pseudo-Boolean Optimization (PBO) and Maximum Satisfiability (MaxSAT) problems are natural optimization extensions of Boolean Satisfiability (SAT). In the recent past, different algorithms have been proposed for PBO and for MaxSAT,…

Artificial Intelligence · Computer Science 2009-03-06 Vasco Manquinho , Joao Marques-Silva , Jordi Planes

Process Planning and Scheduling (PPS) is an essential and practical topic but a very intractable problem in manufacturing systems. Many research use iterative methods to solve such problems; however, they cannot achieve satisfactory results…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-18 Kai Sun

The multiple knapsack problem with grouped items aims to maximize rewards by assigning groups of items among multiple knapsacks, considering knapsack capacities. Either all items in a group are assigned or none at all. We propose algorithms…

Data Structures and Algorithms · Computer Science 2020-06-02 Francisco Castillo-Zunino , Pinar Keskinocak