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The scenario-based optimization approach (`scenario approach') provides an intuitive way of approximating the solution to chance-constrained optimization programs, based on finding the optimal solution under a finite number of sampled…

Optimization and Control · Mathematics 2025-10-02 Georg Schildbach , Lorenzo Fagiano , Manfred Morari

An acceptable response time of a server is an important aspect in many client-server applications; this is evident in situations in which the server is overloaded by many computationally intensive requests. In this work, we consider that…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-09 István Módos , Přemysl Šůcha , Roman Václavík , Jan Smejkal , Zdeněk Hanzálek

We survey optimization problems that involve the cardinality of variable vectors in constraints or the objective function. We provide a unified viewpoint on the general problem classes and models, and give concrete examples from diverse…

Optimization and Control · Mathematics 2022-08-09 Andreas M. Tillmann , Daniel Bienstock , Andrea Lodi , Alexandra Schwartz

In practice, including large number of assets in mean-variance portfolios can lead to higher transaction costs and management fees. To address this, one common approach is to select a smaller subset of assets from the larger pool,…

Mathematical Finance · Quantitative Finance 2025-02-18 Hyunglip Bae , Haeun Jeon , Minsu Park , Yongjae Lee , Woo Chang Kim

This work investigates the performance of a Hybrid Quantum Genetic Algorithm (HQGA) compared to a classical Genetic Algorithm (GA) for solving the portfolio optimization problem. Our results indicate that the HQGA converges faster to the…

We combine the fields of heuristic optimization and optimal stopping. We propose a strategy for benchmarking randomized optimization algorithms that minimizes the expected total cost for obtaining a good solution with an optimal number of…

Quantum Physics · Physics 2016-12-07 Walter Vinci , Daniel A. Lidar

Recent years have seen an increasing integration of distributed renewable energy resources into existing electric power grids. Due to the uncertain nature of renewable energy resources, network operators are faced with new challenges in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-05 Hatem Khalloof , Wilfried Jakob , Shadi Shahoud , Clemens Duepmeier , Veit Hagenmeyer

A quantum-inspired optimization approach is proposed to study the portfolio optimization aimed at selecting an optimal mix of assets based on the risk-return trade-off to achieve the desired goal in investment. By integrating conventional…

Portfolio Management · Quantitative Finance 2024-11-15 Ying-Chang Lu , Chao-Ming Fu , Lien-Po Yu , Yen-Jui Chang , Ching-Ray Chang

This paper studies the portfolio optimization problem when the investor's utility is general and the return and volatility of the risky asset are fast mean-reverting, which are important to capture the fast-time scale in the modeling of…

Mathematical Finance · Quantitative Finance 2019-01-31 Ruimeng Hu

Quantum annealing offers a novel approach to finding the optimal solutions for a variety of computational problems, where the quantum annealing controls influence the observed performance and error mechanisms by tuning the underlying…

Quantum Physics · Physics 2021-01-13 Erica Grant , Travis Humble , Benjamin Stump

In portfolio optimization problems, the minimum expected investment risk is not always smaller than the expected minimal investment risk. That is, using a well-known approach from operations research, it is possible to derive a strategy…

Portfolio Management · Quantitative Finance 2016-12-15 Takashi Shinzato

Portfolio optimization is a cornerstone of financial decision-making, traditionally relying on classical algorithms to balance risk and return. Recent advances in quantum computing offer a promising alternative, leveraging quantum…

Quantum Physics · Physics 2025-11-27 Vicente P. Soloviev , Michal Krompiec

In recent years, the evaluation of the minimal investment risk of the quenched disordered system of a portfolio optimization problem and the investment concentration of the optimal portfolio has been actively investigated using the analysis…

Portfolio Management · Quantitative Finance 2019-08-22 Takashi Shinzato

In this work, we deal with the problem of computing a comprehensive front of efficient solutions in multi-objective portfolio optimization problems in presence of sparsity constraints. We start the discussion pointing out some weaknesses of…

Optimization and Control · Mathematics 2025-09-23 Arturo Annunziata , Matteo Lapucci , Pieluigi Mansueto , Davide Pucci

This paper examines an optimal investment problem in a continuous-time (essentially) complete financial market with a finite horizon. We deal with an investor who behaves consistently with principles of Cumulative Prospect Theory, and whose…

Portfolio Management · Quantitative Finance 2014-03-18 Miklós Rásonyi , Andrea Meireles Rodrigues

Recent studies in maritime logistics have introduced a general ship routing problem and a benchmark suite based on real shipping segments, considering pickups and deliveries, cargo selection, ship-dependent starting locations, travel times…

Data Structures and Algorithms · Computer Science 2019-12-18 Gabriel Homsi , Rafael Martinelli , Thibaut Vidal , Kjetil Fagerholt

In this paper we propose a hybrid quantum-classical algorithm for dynamic portfolio optimization with minimal holding period. Our algorithm is based on sampling the near-optimal portfolios at each trading step using a quantum processor, and…

Quantum Physics · Physics 2021-12-07 Samuel Mugel , Mario Abad , Miguel Bermejo , Javier Sanchez , Enrique Lizaso , Roman Orus

We develop the idea of using Monte Carlo sampling of random portfolios to solve portfolio investment problems. In this first paper we explore the need for more general optimization tools, and consider the means by which constrained random…

Portfolio Management · Quantitative Finance 2010-08-24 William T. Shaw

The success of Constraint Programming relies partly on the global constraints and implementation of the associated filtering algorithms. Recently, new ideas emerged to improve these implementations in practice, especially regarding the all…

Artificial Intelligence · Computer Science 2025-02-06 Margaux Schmied , Jean-Charles Regin

The improving multi-armed bandits problem is a formal model for allocating effort under uncertainty, motivated by scenarios such as investing research effort into new technologies, performing clinical trials, and hyperparameter selection…

Machine Learning · Computer Science 2026-05-22 Avrim Blum , Marten Garicano , Kavya Ravichandran , Dravyansh Sharma