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In scheduling problems, deterministic task durations are often assumed. This usually does not capture reality and may lead to schedules that are not robust to (small) changes to these task lengths. The use of stochastic task durations…

Optimization and Control · Mathematics 2026-05-25 Philip de Bruin , Bram Elderhorst , Marjan van den Akker , Han Hoogeveen

In this work, we propose different formulations and gradient-based algorithms for deterministic and stochastic bilevel problems with conflicting objectives in the lower level. Such problems have received little attention in the…

Optimization and Control · Mathematics 2023-11-08 Tommaso Giovannelli , Griffin Dean Kent , Luis Nunes Vicente

Combinatorial optimization problems are ubiquitous in industrial applications. However, finding optimal or close-to-optimal solutions can often be extremely hard. Because some of these problems can be mapped to the ground-state search of…

Quantum Physics · Physics 2025-09-04 Junpeng Hou , Amin Barzegar , Helmut G. Katzgraber

The manpower scheduling problem is a critical research field in the resource management area. Based on the existing studies on scheduling problem solutions, this paper transforms the manpower scheduling problem into a combinational…

Artificial Intelligence · Computer Science 2021-05-12 Lingyu Zhang , Tianyu Liu , Yunhai Wang

Real-world optimization often demands diverse, high-quality solutions. Quality-Diversity (QD) optimization is a multifaceted approach in evolutionary algorithms that aims to generate a set of solutions that are both high-performing and…

Neural and Evolutionary Computing · Computer Science 2025-07-04 Meng Xu , Frank Neumann , Aneta Neumann , Yew Soon Ong

We present new algorithms and fast implementations to find efficient approximations for modelling stochastic processes. For many numerical computations it is essential to develop finite approximations for stochastic processes. While the…

Optimization and Control · Mathematics 2020-12-03 Kipngeno Benard Kirui , Georg Ch. Pflug , Alois Pichler

Stochastic dual dynamic programming (SDDP) is a state-of-the-art method for solving multi-stage stochastic optimization, widely used for modeling real-world process optimization tasks. Unfortunately, SDDP has a worst-case complexity that…

Machine Learning · Computer Science 2021-12-03 Hanjun Dai , Yuan Xue , Zia Syed , Dale Schuurmans , Bo Dai

This paper addresses the question of whether it can be beneficial for an optimization algorithm to follow directions of negative curvature. Although prior work has established convergence results for algorithms that integrate both descent…

Optimization and Control · Mathematics 2018-04-05 Frank E. Curtis , Daniel P. Robinson

Most optimization problems in real life applications are often highly nonlinear. Local optimization algorithms do not give the desired performance. So, only global optimization algorithms should be used to obtain optimal solutions. This…

Neural and Evolutionary Computing · Computer Science 2012-11-28 Mohammed El-Dosuky , Ahmed EL-Bassiouny , Taher Hamza , Magdy Rashad

This paper introduces a novel approach to contextual stochastic optimization, integrating operations research and machine learning to address decision-making under uncertainty. Traditional methods often fail to leverage contextual…

Machine Learning · Computer Science 2025-05-09 Louis Bouvier , Thibault Prunet , Vincent Leclère , Axel Parmentier

Metaheuristics have gained great success in academia and practice because their search logic can be applied to any problem with available solution representation, solution quality evaluation, and certain notions of locality. Manually…

Neural and Evolutionary Computing · Computer Science 2024-02-22 Qi Zhao , Qiqi Duan , Bai Yan , Shi Cheng , Yuhui Shi

In this paper, we propose new sequential randomized algorithms for convex optimization problems in the presence of uncertainty. A rigorous analysis of the theoretical properties of the solutions obtained by these algorithms, for full…

Systems and Control · Computer Science 2016-11-17 Mohammadreza Chamanbaz , Fabrizio Dabbene , Roberto Tempo , Venkatakrishnan Venkataramanan , Qing-Guo Wang

This paper introduces a new formulation for stochastic optimal control and stochastic dynamic optimization that ensures safety with respect to state and control constraints. The proposed methodology brings together concepts such as…

Systems and Control · Electrical Eng. & Systems 2021-02-19 Marcus Aloysius Pereira , Ziyi Wang , Ioannis Exarchos , Evangelos A. Theodorou

Probabilistic Logic Programming is an effective formalism for encoding problems characterized by uncertainty. Some of these problems may require the optimization of probability values subject to constraints among probability distributions…

Logic in Computer Science · Computer Science 2023-06-22 Damiano Azzolini , Fabrizio Riguzzi

Sustainable development has emerged as a global priority, and industries are increasingly striving to align their operations with sustainable practices. Parallel machine scheduling (PMS) is a critical aspect of production planning that…

Neural and Evolutionary Computing · Computer Science 2023-11-23 Absalom E. Ezugwu

Optimization problems involving sequential decisions in a stochastic environment were studied in Stochastic Programming (SP), Stochastic Optimal Control (SOC) and Markov Decision Processes (MDP). In this paper we mainly concentrate on SP…

Optimization and Control · Mathematics 2023-03-29 Guanghui Lan , Alexander Shapiro

Information theory has been very successful in obtaining performance limits for various problems such as communication, compression and hypothesis testing. Likewise, stochastic control theory provides a characterization of optimal policies…

Information Theory · Computer Science 2018-10-15 Dhruva Kartik , Ekraam Sabir , Urbashi Mitra , Prem Natarajan

This paper studies stochastic optimization problems and associated Bellman equations in formats that allow for reduced dimensionality of the cost-to-go functions. In particular, we study stochastic control problems in the…

Optimization and Control · Mathematics 2025-05-20 Teemu Pennanen , Ari-Pekka Perkkiö

Neural approaches for combinatorial optimization (CO) equip a learning mechanism to discover powerful heuristics for solving complex real-world problems. While neural approaches capable of high-quality solutions in a single shot are…

Machine Learning · Computer Science 2022-11-18 Jinho Choo , Yeong-Dae Kwon , Jihoon Kim , Jeongwoo Jae , André Hottung , Kevin Tierney , Youngjune Gwon

The scheduling problem is a key class of optimization problems and has various kinds of applications both in practical and theoretical scenarios. In the scheduling problem, probabilistic analysis is a basic tool for investigating…

Information Theory · Computer Science 2024-01-30 Daiki Suruga
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