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In this paper, we consider an adaptive approach to address optimization problems with uncertain cost parameters. Here, the decision maker selects an initial decision, observes the realization of the uncertain cost parameters, and then is…

Computational Complexity · Computer Science 2013-12-17 Ebrahim Nasrabadi , James B. Orlin

This paper develops an online algorithm to solve a time-varying optimization problem with an objective that comprises a known time-varying cost and an unknown function. This problem structure arises in a number of engineering systems and…

Optimization and Control · Mathematics 2021-11-29 Andrea Simonetto , Emiliano Dall'Anese , Julien Monteil , Andrey Bernstein

Price determination is a central research topic of revenue management in marketing. The important aspect in pricing is controlling the stochastic behavior of demand, and the previous studies have tackled price optimization problems with…

Optimization and Control · Mathematics 2024-01-04 Yuya Hikima , Akiko Takeda

The pooling problem has applications, e.g., in petrochemical refining, water networks, and supply chains and is widely studied in global optimization. To date, it has largely been treated deterministically, neglecting the influence of…

Optimization and Control · Mathematics 2019-06-19 Johannes Wiebe , Inês Cecílio , Ruth Misener

This paper deals with a problem of production planning, which is a version of the capacitated single-item lot sizing problem with backordering under demand uncertainty, modeled by uncertain cumulative demands. The well-known interval…

Data Structures and Algorithms · Computer Science 2020-09-15 Romain Guillaume , Adam Kasperski , Pawel Zielinski

Hyperparameter tuning is a challenging problem especially when the system itself involves uncertainty. Due to noisy function evaluations, optimization under uncertainty can be computationally expensive. In this paper, we present a novel…

Machine Learning · Computer Science 2025-10-09 Akash Yadav , Ruda Zhang

This paper presents a new exact method to calculate worst-case parameter realizations in two-stage robust optimization problems with categorical or binary-valued uncertain data. Traditional exact algorithms for these problems, notably…

Optimization and Control · Mathematics 2022-01-19 Anirudh Subramanyam

We study a problem of an online retailer who observes the unit sales of a product, and dynamically changes the retail price, in order to maximize the expected revenue. Assuming the demand of the product is price sensitive, we are interested…

Systems and Control · Electrical Eng. & Systems 2021-06-17 Chengcheng Liu , Mátyás A. Sustik

An important factor in the practical implementation of optimization models is the acceptance by the intended users. This is influenced among other factors by the interpretability of the solution process. Decision rules that meet this…

Machine Learning · Computer Science 2024-12-03 Marc Goerigk , Michael Hartisch , Sebastian Merten

We consider a combined problem of teaming and scheduling of multi-skilled employees that have to perform jobs with uncertain qualification requirements. We propose two modeling approaches that generate solutions that are robust to possible…

Optimization and Control · Mathematics 2020-11-03 Yulia Anoshkina , Marc Goerigk , Frank Meisel

Budgeted uncertainty sets have been established as a major influence on uncertainty modeling for robust optimization problems. A drawback of such sets is that the budget constraint only restricts the global amount of cost increase that can…

Optimization and Control · Mathematics 2020-08-28 Marc Goerigk , Stefan Lendl

This paper addresses the problem of utility maximization under uncertain parameters. In contrast with the classical approach, where the parameters of the model evolve freely within a given range, we constrain them via a penalty function. We…

Optimization and Control · Mathematics 2022-03-08 Ivan Guo , Nicolas Langrené , Grégoire Loeper , Wei Ning

The assortment problem in revenue management is the problem of deciding which subset of products to offer to consumers in order to maximise revenue. A simple and natural strategy is to select the best assortment out of all those that are…

Data Structures and Algorithms · Computer Science 2019-02-22 Gerardo Berbeglia , Gwenaël Joret

Algorithmic pricing is the computational problem that sellers (e.g., in supermarkets) face when trying to set prices for their items to maximize their profit in the presence of a known demand. Guruswami et al. (2005) propose this problem…

Computer Science and Game Theory · Computer Science 2008-08-13 Shuchi Chawla , Jason Hartline , Robert Kleinberg

Accurately predicting the performance of different optimization algorithms for previously unseen problem instances is crucial for high-performing algorithm selection and configuration techniques. In the context of numerical optimization,…

Neural and Evolutionary Computing · Computer Science 2021-04-23 Tome Eftimov , Anja Jankovic , Gorjan Popovski , Carola Doerr , Peter Korošec

This paper reviews recent advances in the field of optimization under uncertainty via a modern data lens, highlights key research challenges and promise of data-driven optimization that organically integrates machine learning and…

Machine Learning · Computer Science 2019-04-16 Chao Ning , Fengqi You

We consider robust optimization problems, where the goal is to optimize an unknown objective function against the worst-case realization of an uncertain parameter. For this setting, we design a novel sample-efficient algorithm GP-MRO, which…

Machine Learning · Computer Science 2020-03-03 Pier Giuseppe Sessa , Ilija Bogunovic , Maryam Kamgarpour , Andreas Krause

In the current work we introduce a novel estimation of distribution algorithm to tackle a hard combinatorial optimization problem, namely the single-machine scheduling problem, with uncertain delivery times. The majority of the existing…

Data Structures and Algorithms · Computer Science 2013-12-05 Boris Mitavskiy , Jun He

Personalized pricing is a business strategy to charge different prices to individual consumers based on their characteristics and behaviors. It has become common practice in many industries nowadays due to the availability of a growing…

Computers and Society · Computer Science 2022-02-22 Renzhe Xu , Xingxuan Zhang , Peng Cui , Bo Li , Zheyan Shen , Jiazheng Xu

We study robust versions of pricing problems where customers choose products according to a generalized extreme value (GEV) choice model, and the choice parameters are not known exactly but lie in an uncertainty set. We show that, when the…

Optimization and Control · Mathematics 2021-10-19 Tien Mai , Patrick Jaillet