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Recent advancements in the flexible job-shop scheduling problem (FJSSP) are primarily based on deep reinforcement learning (DRL) due to its ability to generate high-quality, real-time solutions. However, DRL approaches often fail to fully…

人工智能 · 计算机科学 2024-03-15 Imanol Echeverria , Maialen Murua , Roberto Santana

There are two prevalent model-based paradigms for combinatorial problems: 1) state-based representations, such as heuristic search, dynamic programming (DP), and decision diagrams, and 2) constraint and domain-based representations, such as…

人工智能 · 计算机科学 2026-04-29 Imko Marijnissen , J. Christopher Beck , Emir Demirović , Ryo Kuroiwa

Constraint programming (CP) is a powerful technique for solving constraint satisfaction and optimization problems. In CP solvers, the variable ordering strategy used to select which variable to explore first in the solving process has a…

人工智能 · 计算机科学 2023-04-13 Yuan Sun , Su Nguyen , Dhananjay Thiruvady , Xiaodong Li , Andreas T. Ernst , Uwe Aickelin

Combinatorial optimization has found applications in numerous fields, from aerospace to transportation planning and economics. The goal is to find an optimal solution among a finite set of possibilities. The well-known challenge one faces…

人工智能 · 计算机科学 2020-06-03 Quentin Cappart , Thierry Moisan , Louis-Martin Rousseau , Isabeau Prémont-Schwarz , Andre Cire

Constraint Programming (CP) is a declarative programming paradigm that allows for modeling and solving combinatorial optimization problems, such as the Job-Shop Scheduling Problem (JSSP). While CP solvers manage to find optimal or…

人工智能 · 计算机科学 2023-06-12 Pierre Tassel , Martin Gebser , Konstantin Schekotihin

Combinatorial problems stated as Constraint Satisfaction Problems (CSP) are examined. It is shown by example that any algorithm designed for the original CSP, and involving the AllDifferent constraint, has at least the same level of…

人工智能 · 计算机科学 2020-12-15 Geoff Harris

The Jobs shop Scheduling Problem (JSP) is a canonical combinatorial optimization problem that is routinely solved for a variety of industrial purposes. It models the optimal scheduling of multiple sequences of tasks, each under a fixed…

机器学习 · 计算机科学 2021-10-14 James Kotary , Ferdinando Fioretto , Pascal Van Hentenryck

Constraint programming (CP) is a paradigm used to model and solve constraint satisfaction and combinatorial optimization problems. In CP, problems are modeled with constraints that describe acceptable solutions and solved with backtracking…

量子物理 · 物理学 2021-09-29 Kyle E. C. Booth , Bryan O'Gorman , Jeffrey Marshall , Stuart Hadfield , Eleanor Rieffel

For combinatorial optimization problems, model-based approaches such as mixed-integer programming (MIP) and constraint programming (CP) aim to decouple modeling and solving a problem: the 'holy grail' of declarative problem solving. We…

人工智能 · 计算机科学 2024-01-26 Ryo Kuroiwa , J. Christopher Beck

Optimizing schedules in real-world settings often requires considering workload constraints, specially for human resources, to ensure regulatory compliance, impose rest periods, or level the workload over the working horizon. This paper…

最优化与控制 · 数学 2026-05-21 Tanguy Terrien , Cyrille Briand

Stochastic Constraint Programming (SCP) is an extension of Constraint Programming (CP) used for modelling and solving problems involving constraints and uncertainty. SCP inherits excellent modelling abilities and filtering algorithms from…

人工智能 · 计算机科学 2017-04-25 Steven Prestwich , Roberto Rossi , Armagan Tarim

Global constraints proved themselves to be an efficient tool for modelling and solving large-scale real-life combinatorial problems. They encapsulate a set of binary constraints and using global reasoning about this set they filter the…

编程语言 · 计算机科学 2007-05-23 Roman Bartak

Semidefinite programs (SDP) are one of the most versatile frameworks in numerical optimization, serving as generalizations of many conic programs and as relaxations of NP-hard combinatorial problems. Their main drawback is their…

最优化与控制 · 数学 2022-02-28 Biel Roig-Solvas , Mario Sznaier

Dynamic programming (DP) is an algorithmic design paradigm for the efficient, exact solution of otherwise intractable, combinatorial problems. However, DP algorithm design is often presented in an ad-hoc manner. It is sometimes difficult to…

数据结构与算法 · 计算机科学 2024-05-17 Max A. Little , Xi He , Ugur Kayas

The scheduling of production resources (such as associating jobs to machines) plays a vital role for the manufacturing industry not only for saving energy but also for increasing the overall efficiency. Among the different job scheduling…

人工智能 · 计算机科学 2023-03-07 Deepak Vivekanandan , Samuel Wirth , Patrick Karlbauer , Noah Klarmann

For combinatorial optimization problems, model-based paradigms such as mixed-integer programming (MIP) and constraint programming (CP) aim to decouple modeling and solving a problem: the `holy grail' of declarative problem solving. We…

人工智能 · 计算机科学 2026-03-13 Ryo Kuroiwa , J. Christopher Beck

A number of problems in relational Artificial Intelligence can be viewed as Stochastic Constraint Optimization Problems (SCOPs). These are constraint optimization problems that involve objectives or constraints with a stochastic component.…

人工智能 · 计算机科学 2018-07-04 Anna L. D. Latour , Behrouz Babaki , Siegfried Nijssen

The Job-shop Scheduling Problem (JSP) is a well-known and challenging combinatorial optimization problem in which tasks sharing a machine are to be arranged in a sequence such that encompassing jobs can be completed as early as possible. In…

人工智能 · 计算机科学 2025-08-13 Mohammed M. S. El-Kholany , Martin Gebser , Konstantin Schekotihin

This paper explores the use of Answer Set Programming (ASP) in solving Distributed Constraint Optimization Problems (DCOPs). The paper provides the following novel contributions: (1) It shows how one can formulate DCOPs as logic programs;…

多智能体系统 · 计算机科学 2017-05-12 Tiep Le , Tran Cao Son , Enrico Pontelli , William Yeoh

Most machine learning and deep neural network algorithms rely on certain iterative algorithms to optimise their utility/cost functions, e.g. Stochastic Gradient Descent. In distributed learning, the networked nodes have to work…

分布式、并行与集群计算 · 计算机科学 2017-10-06 Liang Wang , Ben Catterall , Richard Mortier
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