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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…

Artificial Intelligence · Computer Science 2023-06-12 Pierre Tassel , Martin Gebser , Konstantin Schekotihin

Resource constrained job scheduling is a hard combinatorial optimisation problem that originates in the mining industry. Off-the-shelf solvers cannot solve this problem satisfactorily in reasonable timeframes, while other solution methods…

Neural and Evolutionary Computing · Computer Science 2024-07-23 Su Nguyen , Dhananjay Thiruvady , Yuan Sun , Mengjie Zhang

Functional constraints and bi-functional constraints are an important constraint class in Constraint Programming (CP) systems, in particular for Constraint Logic Programming (CLP) systems. CP systems with finite domain constraints usually…

Artificial Intelligence · Computer Science 2010-06-17 Yuanlin Zhang , Roland H. C. Yap

Backtracking search algorithms are often used to solve the Constraint Satisfaction Problem (CSP). The efficiency of backtracking search depends greatly on the variable ordering heuristics. Currently, the most commonly used heuristics are…

Artificial Intelligence · Computer Science 2021-12-28 Wen Song , Zhiguang Cao , Jie Zhang , Andrew Lim

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…

Artificial Intelligence · Computer Science 2024-03-15 Imanol Echeverria , Maialen Murua , Roberto Santana

Dynamic Programming (DP) and Constraint Programming (CP) are well-established paradigms for solving combinatorial optimization problems. Usually, these two approaches are used separately. This paper aims to show that the two can be combined…

Artificial Intelligence · Computer Science 2026-05-25 Emma Legrand , Roger Kameugne , Pierre Schaus

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…

Optimization and Control · Mathematics 2026-05-21 Tanguy Terrien , Cyrille Briand

A Constraint Satisfaction Problem (CSP) is a framework used for modeling and solving constrained problems. Tree-search algorithms like backtracking try to construct a solution to a CSP by selecting the variables of the problem one after…

Artificial Intelligence · Computer Science 2014-10-06 Muhammad Rezaul Karim

Constraint Programming (CP) offers an intuitive, declarative framework for modeling Vehicle Routing Problems (VRP), yet classical CP models based on successor variables cannot always deal with optional visits or insertion based heuristics.…

Artificial Intelligence · Computer Science 2025-10-13 Augustin Delecluse , Pierre Schaus , Pascal Van Hentenryck

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…

Artificial Intelligence · Computer Science 2017-04-25 Steven Prestwich , Roberto Rossi , Armagan Tarim

Job shop scheduling problems represent a significant and complex facet of combinatorial optimization problems, which have traditionally been addressed through either exact or approximate solution methodologies. However, the practical…

Artificial Intelligence · Computer Science 2024-03-19 Jaejin Lee , Seho Kee , Mani Janakiram , George Runger

In serial batch (s-batch) scheduling, jobs from similar families are grouped into batches and processed sequentially to avoid repetitive setups that are required when processing consecutive jobs of different families. Despite its large…

Artificial Intelligence · Computer Science 2025-11-21 Jorge A. Huertas , Pascal Van Hentenryck

Solving job shop scheduling problems (JSSPs) with a fixed strategy, such as a priority dispatching rule, may yield satisfactory results for several problem instances but, nevertheless, insufficient results for others. From this…

Artificial Intelligence · Computer Science 2023-05-18 Constantin Waubert de Puiseau , Hasan Tercan , Tobias Meisen

This paper examines scheduling problem denoted as $P|seq, ser|C_{max}$ in Graham's notation; in other words, scheduling of tasks on parallel identical machines ($P$) with sequence-dependent setups ($seq$) each performed by one of the…

Computer Science and Game Theory · Computer Science 2023-06-01 Vilém Heinz , Antonín Novák , Marek Vlk , Zdeněk Hanzálek

Although Boolean Constraint Technology has made tremendous progress over the last decade, the efficacy of state-of-the-art solvers is known to vary considerably across different types of problem instances and is known to depend strongly on…

Artificial Intelligence · Computer Science 2014-01-07 Holger Hoos , Roland Kaminski , Marius Lindauer , Torsten Schaub

Combinatorial optimization problems, such as scheduling and route planning, are crucial in various industries but are computationally intractable due to their NP-hard nature. Neural Combinatorial Optimization methods leverage machine…

Machine Learning · Computer Science 2025-02-14 Imanol Echeverria , Maialen Murua , Roberto Santana

The main advantage of Constraint Programming (CP) approaches for sequential pattern mining (SPM) is their modularity, which includes the ability to add new constraints (regular expressions, length restrictions, etc). The current best CP…

Databases · Computer Science 2016-04-06 John O. R. Aoga , Tias Guns , Pierre Schaus

Solving combinatorial optimization problems involve satisfying a set of hard constraints while optimizing some objectives. In this context, exact or approximate methods can be used. While exact methods guarantee the optimal solution, they…

Artificial Intelligence · Computer Science 2024-09-13 Aymen Ben Said , Malek Mouhoub

Constraint programming (CP) has been used with great success to tackle a wide variety of constraint satisfaction problems which are computationally intractable in general. Global constraints are one of the important factors behind the…

Artificial Intelligence · Computer Science 2009-03-04 Alan Frisch , Brahim Hnich , Zeynep Kiziltan , Ian Miguel , Toby Walsh

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
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