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In this paper, we show the design and implementation of a quantum algorithm for industrial shift scheduling (QISS), which uses Grover's adaptive search to tackle a common and important class of valuable, real-world combinatorial…

We propose a Boolean Linear Programming model for the preemptive single machine scheduling problem with equal processing times, arbitrary release dates and weights(priorities) minimizing the total weighted completion time. Almost always an…

Optimization and Control · Mathematics 2020-12-16 Artem Fomin , Boris Goldengorin

The crew rostering problem (CRP) for pilots is a complex crew scheduling task assigning pairings, or sequences of flights starting and ending at the same airport, to pilots to create a monthly schedule. In this paper, we propose an…

Optimization and Control · Mathematics 2025-03-04 Philippe Racette , Frédéric Quesnel , Andrea Lodi , François Soumis

Mixed Integer Linear Programming (MILP) is a fundamental tool for modeling combinatorial optimization problems. Recently, a growing body of research has used machine learning to accelerate MILP solving. Despite the increasing popularity of…

Machine Learning · Computer Science 2024-10-29 Weimin Huang , Taoan Huang , Aaron M Ferber , Bistra Dilkina

In this work, the online printing shop scheduling problem introduced in (Lunardi et al., Mixed Integer Linear Programming and Constraint Programming Models for the Online Printing Shop Scheduling Problem, Computers & Operations Research, to…

Artificial Intelligence · Computer Science 2022-02-22 Willian T. Lunardi , Ernesto G. Birgin , Débora P. Ronconi , Holger Voos

In the Scheduling Machines with Capacity Constraints problem, we are given k identical machines, each of which can process at most m_i jobs. M jobs are also given, where job j has a non-negative processing time length t_j >= 0. The task is…

Data Structures and Algorithms · Computer Science 2009-06-18 Chi Zhang , Gang Wang , Xiaoguang Liu , Jing Liu

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

We introduce a novel approach to reduce the computational effort of solving mixed-integer convex chance constrained programs through the scenario approach. Instead of reducing the number of required scenarios, we directly minimize the…

Optimization and Control · Mathematics 2020-02-05 Damian Frick , Pier Giuseppe Sessa , Tony A. Wood , Maryam Kamgarpour

The minimum common string partition problem is an NP-hard combinatorial optimization problem with applications in computational biology. In this work we propose the first integer linear programming model for solving this problem. Moreover,…

Artificial Intelligence · Computer Science 2014-05-23 Christian Blum , José A. Lozano , Pedro Pinacho Davidson

The broad applicability of Quadratic Unconstrained Binary Optimization (QUBO) constitutes a general-purpose modeling framework for combinatorial optimization problems and are a required format for gate array and quantum annealing computers.…

Artificial Intelligence · Computer Science 2021-04-06 Amit Verma , Mark Lewis

This work presents a hybrid approach to solve the maximum stable set problem, using constraint and semidefinite programming. The approach consists of two steps: subproblem generation and subproblem solution. First we rank the variable…

Combinatorics · Mathematics 2007-05-23 W. J. van Hoeve

Employee rostering is a process of assigning available employees to open shifts. Automating it has ubiquitous practical benefits for nearly all industries, such as reducing manual workload and producing flexible, high-quality schedules. In…

Artificial Intelligence · Computer Science 2021-11-23 Jangwon Park , Evangelos Vrettos

Energy-aware architectures provide applications with a mix of low (LITTLE) and high (big) frequency cores. Choosing the best hardware configuration for a program running on such an architecture is difficult, because program parts benefit…

Programming Languages · Computer Science 2019-03-19 Marcelo Novaes , Vinícius Petrucci , Abdoulaye Gamatié , Fernando Quintão

Data-driven optimization uses contextual information and machine learning algorithms to find solutions to decision problems with uncertain parameters. While a vast body of work is dedicated to interpreting machine learning models in the…

Machine Learning · Computer Science 2023-07-21 Alexandre Forel , Axel Parmentier , Thibaut Vidal

We present a solution to real-world train scheduling problems, involving routing, scheduling, and optimization, based on Answer Set Programming (ASP). To this end, we pursue a hybrid approach that extends ASP with difference constraints to…

Artificial Intelligence · Computer Science 2021-07-01 Dirk Abels , Julian Jordi , Max Ostrowski , Torsten Schaub , Ambra Toletti , Philipp Wanko

The performance, reliability, cost, size and energy usage of computing systems can be improved by one or more orders of magnitude by the systematic use of modern control and optimization methods. Computing systems rely on the use of…

Systems and Control · Computer Science 2017-10-13 Eric C. Kerrigan

A numerical method is developed to solve linear semi-infinite programming problem (LSIP) in which the iterates produced by the algorithm are feasible for the original problem. This is achieved by constructing a sequence of standard linear…

Optimization and Control · Mathematics 2021-01-26 Shuxiong Wang

Constraint programming uses enumeration and search tree pruning to solve combinatorial optimization problems. In order to speed up this solution process, we investigate the use of semidefinite relaxations within constraint programming. In…

Discrete Mathematics · Computer Science 2007-05-23 Willem Jan van Hoeve

The shift design and the personnel scheduling problem is known to be a difficult problem. It is a real-world problem which has lots of applications in the organization of companies. Solutions are usually found by dividing the problem in two…

Optimization and Control · Mathematics 2024-03-28 Nicolo Gusmeroli , Andrea Bettinelli

In this paper, the compact linearization approach originally proposed for binary quadratic programs with assignment constraints is generalized to such programs with arbitrary linear equations and inequalities that have positive coefficients…

Optimization and Control · Mathematics 2018-08-28 Sven Mallach
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