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We develop a non-parametric, data-driven, tractable approach for solving multistage stochastic optimization problems in which decisions do not affect the uncertainty. The proposed framework represents the decision variables as elements of a…

Optimization and Control · Mathematics 2023-03-14 Dimitris Bertsimas , Kimberly Villalobos Carballo

Multistage stochastic programming is a powerful tool allowing decision-makers to revise their decisions at each stage based on the realized uncertainty. However, in practice, organizations are not able to be fully flexible, as decisions…

Optimization and Control · Mathematics 2024-01-17 Sezen Ece Kayacık , Beste Basciftci , Albert H Schrotenboer , Evrim Ursavas

We consider a risk-averse stochastic capacity planning problem under uncertain demand in each period. Using a scenario tree representation of the uncertainty, we formulate a multistage stochastic integer program to adjust the capacity…

Optimization and Control · Mathematics 2024-11-05 Xian Yu , Siqian Shen

In this paper we develop a concrete and fully implementable approach to the optimization of functionally generated portfolios in stochastic portfolio theory. The main idea is to optimize over a family of rank-based portfolios parameterized…

Portfolio Management · Quantitative Finance 2021-10-12 Steven Campbell , Ting-Kam Leonard Wong

This work discusses the benefits of constrained portfolio turnover strategies for small to medium-sized portfolios. We propose a dynamic multi-period model that aims to minimize transaction costs and maximize terminal wealth levels whilst…

Computational Finance · Quantitative Finance 2024-01-26 Nakul Upadhya , Alexandre Granzer-Guay

Most decision-focused learning work has focused on single stage problems whereas many real-world decision problems are more appropriately modelled using multistage optimisation. In multistage problems contextual information is revealed over…

Optimization and Control · Mathematics 2025-05-29 Egon Peršak , Miguel F. Anjos

The problem of chemotherapy treatment optimization can be defined in order to minimize the size of the tumor without endangering the patient's health; therefore, chemotherapy requires to achieve a number of objectives, simultaneously. For…

Neural and Evolutionary Computing · Computer Science 2023-03-21 Mina Jafari , Behnam Ghavami , Vahid Sattari Naeini

We study a budgeted hyper-parameter tuning problem, where we optimize the tuning result under a hard resource constraint. We propose to solve it as a sequential decision making problem, such that we can use the partial training progress of…

Machine Learning · Computer Science 2019-02-05 Zhiyun Lu , Chao-Kai Chiang , Fei Sha

Complex system design problems, such as those involved in aerospace engineering, require the use of numerically costly simulation codes in order to predict the performance of the system to be designed. In this context, these codes are often…

Optimization and Control · Mathematics 2024-02-14 Loic Brevault , Mathieu Balesdent

In this paper we propose a problem-driven scenario generation approach to the single-period portfolio selection problem which use tail risk measures such as conditional value-at-risk. Tail risk measures are useful for quantifying potential…

Risk Management · Quantitative Finance 2019-11-14 Jamie Fairbrother , Amanda Turner , Stein Wallace

The efficiency of any metaheuristic algorithm largely depends on the way of balancing local intensive exploitation and global diverse exploration. Studies show that bat algorithm can provide a good balance between these two key components…

Optimization and Control · Mathematics 2014-08-25 Xin-She Yang , Suash Deb , Simon Fong

Iterative compilation is a widely adopted technique to optimize programs for different constraints such as performance, code size and power consumption in rapidly evolving hardware and software environments. However, in case of statically…

Programming Languages · Computer Science 2014-07-16 Lianjie Luo , Yang Chen , Chengyong Wu , Shun Long , Grigori Fursin

Portfolio optimization plays a central role in finance to obtain optimal portfolio allocations that aim to achieve certain investment goals. Over the years, many works have investigated different variants of portfolio optimization.…

Quantum Physics · Physics 2023-02-01 Debbie Lim , Patrick Rebentrost

This paper presents how the most recent improvements made on covariance matrix estimation and model order selection can be applied to the portfolio optimisation problem. The particular case of the Maximum Variety Portfolio is treated but…

Applications · Statistics 2018-04-03 Emmanuelle Jay , Eugénie Terreaux , Jean-Philippe Ovarlez , Frédéric Pascal

In this paper we tackle the problem of dynamic portfolio optimization, i.e., determining the optimal trading trajectory for an investment portfolio of assets over a period of time, taking into account transaction costs and other possible…

Urban infrastructure degrades over time, necessitating periodic renovation to maintain functionality and safety. When renovation is delayed beyond the infrastructure's remaining lifespan, costly emergency interventions become necessary to…

Computational Engineering, Finance, and Science · Computer Science 2026-02-18 Robbert Bosch , Patricia Rogetzer , Wouter van Heeswijk , Martijn Mes

Quantum computation holds promise for the solution of many intractable problems. However, since many quantum algorithms are stochastic in nature they can only find the solution of hard problems probabilistically. Thus the efficiency of the…

Quantum Physics · Physics 2009-11-07 Sebastian Maurer , Tad Hogg , Bernardo Huberman

In many important design problems, some decisions should be made by finding the global optimum of a multiextremal objective function subject to a set of constrains. Frequently, especially in engineering applications, the functions involved…

Optimization and Control · Mathematics 2015-09-17 Dmitri E. Kvasov , Yaroslav D. Sergeyev

In this study, we propose a new multi-objective portfolio optimization with idiosyncratic and systemic risks for financial networks. The two risks are measured by the idiosyncratic variance and the network clustering coefficient derived…

Portfolio Management · Quantitative Finance 2021-11-23 Yajie Yang , Longfeng Zhao , Lin Chen , Chao Wang , Jihui Han

We develop a tractable and flexible approach for incorporating side information into dynamic optimization under uncertainty. The proposed framework uses predictive machine learning methods (such as $k$-nearest neighbors, kernel regression,…

Optimization and Control · Mathematics 2020-07-23 Dimitris Bertsimas , Christopher McCord , Bradley Sturt
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