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Several problems in modeling and control of stochastically-driven dynamical systems can be cast as regularized semi-definite programs. We examine two such representative problems and show that they can be formulated in a similar manner. The…

Optimization and Control · Mathematics 2019-12-30 Armin Zare , Hesameddin Mohammadi , Neil K. Dhingra , Tryphon T. Georgiou , Mihailo R. Jovanović

We describe a method for time-critical decision making involving sequential tasks and stochastic processes. The method employs several iterative refinement routines for solving different aspects of the decision making problem. This paper…

Artificial Intelligence · Computer Science 2013-03-08 Thomas L. Dean , Leslie Pack Kaelbling , Jak Kirman , Ann Nicholson

A widely used heuristic for solving stochastic optimization problems is to use a deterministic rolling horizon procedure, which has been modified to handle uncertainty (e.g. buffer stocks, schedule slack). This approach has been criticized…

Optimization and Control · Mathematics 2017-03-16 Raymond T. Perkins , Warren B. Powell

We study the assortment optimization problem under general linear constraints, where the customer choice behavior is captured by the Cross-Nested Logit model. In this problem, there is a set of products organized into multiple subsets (or…

Optimization and Control · Mathematics 2023-04-19 Cuong Le , Tien Mai

Many of the observations we make are biased by our decisions. For instance, the demand of items is impacted by the prices set, and online checkout choices are influenced by the assortments presented. The challenge in decision-making under…

Machine Learning · Computer Science 2025-07-02 Rares Cristian , Pavithra Harsha , Georgia Perakis , Brian Quanz

In this paper we deal with stochastic optimization problems where the data distributions change in response to the decision variables. Traditionally, the study of optimization problems with decision-dependent distributions has assumed…

Optimization and Control · Mathematics 2023-10-05 Zifan Wang , Changxin Liu , Thomas Parisini , Michael M. Zavlanos , Karl H. Johansson

This survey is focused on certain sequential decision-making problems that involve optimizing over probability functions. We discuss the relevance of these problems for learning and control. The survey is organized around a framework that…

Optimization and Control · Mathematics 2023-01-13 Emiland Garrabe , Giovanni Russo

We study the problem of finding the optimal assortment that maximizes expected revenue under the decision forest model, a recently proposed nonparametric choice model that is capable of representing any discrete choice model and in…

Optimization and Control · Mathematics 2025-12-17 Yi-Chun Akchen , Velibor V. Mišić

The lack of a comprehensive decision-making approach at the community level is an important problem that warrants immediate attention. Network-level decision-making algorithms need to solve large-scale optimization problems that pose…

Optimization and Control · Mathematics 2018-10-02 Saeed Nozhati , Yugandhar Sarkale , Bruce Ellingwood , Edwin K. P. Chong , Hussam Mahmoud

In this paper, we propose and study the cascade submodular maximization problem under the adaptive setting. The input of our problem is a set of items, each item is in a particular state (i.e., the marginal contribution of an item) which is…

Machine Learning · Computer Science 2021-02-16 Shaojie Tang , Jing Yuan

We model the joint distribution of choice probabilities and decision times in binary choice tasks as the solution to a problem of optimal sequential sampling, where the agent is uncertain of the utility of each action and pays a constant…

Neurons and Cognition · Quantitative Biology 2015-05-14 Drew Fudenberg , Philipp Strack , Tomasz Strzalecki

We study the problem of dynamic assortment personalization with large, heterogeneous populations and wide arrays of products, and demonstrate the importance of structural priors for effective, efficient large-scale personalization.…

Machine Learning · Statistics 2019-05-03 Nathan Kallus , Madeleine Udell

The goal of a sequential decision making problem is to design an interactive policy that adaptively selects a group of items, each selection is based on the feedback from the past, in order to maximize the expected utility of selected…

Data Structures and Algorithms · Computer Science 2022-09-13 Shaojie Tang

In this work, we study the multi-agent assortment optimization problem in the two-sided sequential matching model introduced by Ashlagi et al. (2022). The setting is the following: we (the platform) offer a menu of suppliers to each…

Computer Science and Game Theory · Computer Science 2023-09-21 Alfredo Torrico , Margarida Carvalho , Andrea Lodi

Stochastic constraints, which incorporate both deterministic parameters and random variables, extend classical deterministic constraints by explicitly accounting for uncertainty. These constraints are increasingly prevalent in data science,…

Logic in Computer Science · Computer Science 2026-04-21 Xiakun Li , Hao Wu , Bican Xia , Tengshun Yang , Naijun Zhan

This paper presents two stochastic optimization approaches for simultaneous project scheduling and personnel planning, extending a deterministic model previously developed by Heimerl and Kolisch. For the problem of assigning work packages…

Optimization and Control · Mathematics 2018-12-04 Thomas Felberbauer , Walter Gutjahr , Karl Doerner

Optimal inventory leads to stochastic optimization problems where deterministic delivery decisions have to be made in advance of stochastic demand realizations. Similarly, risk deposits have to be given before the random outcomes of…

Optimization and Control · Mathematics 2025-11-18 Andreas H. Hamel , Andreas Löhne

Motivated by programmatic advertising optimization, we consider the task of sequentially allocating budget across a set of resources. At every time step, a feasible allocation is chosen and only a corresponding random return is observed.…

Artificial Intelligence · Computer Science 2024-10-02 Juliette Achddou , Olivier Cappe , Aurélien Garivier

Randomized rounding is a technique that was originally used to approximate hard offline discrete optimization problems from a mathematical programming relaxation. Since then it has also been used to approximately solve sequential stochastic…

Data Structures and Algorithms · Computer Science 2024-11-21 Will Ma

Matching demand with supply in crowdsourcing logistics platforms must contend with uncertain worker participation. Motivated by this challenge, we study a two-stage "recommend-to-match" problem under stochastic supplier rejections, where…

Optimization and Control · Mathematics 2026-04-01 Haoyue Liu , Sheng Liu , Mingyao Qi