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We consider the problem of choosing prices of a set of products so as to maximize profit, taking into account self-elasticity and cross-elasticity, subject to constraints on the prices. We show that this problem can be formulated as…

Optimization and Control · Mathematics 2026-04-30 Maximilian Schaller , Stephen Boyd

Dynamic resource allocation problems are ubiquitous, arising in inventory management, order fulfillment, online advertising, and other applications. We initially focus on one of the simplest models of online resource allocation: the…

Probability · Mathematics 2025-06-04 Omar Besbes , Yash Kanoria , Akshit Kumar

We consider the classical problem of sequential resource allocation where a decision maker must repeatedly divide a budget between several resources, each with diminishing returns. This can be recast as a specific stochastic optimization…

Machine Learning · Statistics 2020-01-17 Xavier Fontaine , Shie Mannor , Vianney Perchet

Inventory management problems with periodic and controllable resets occur in the context of managing water storage in the developing world and retailing limited-time availability products. In this paper, we consider a set of sequential…

Optimization and Control · Mathematics 2022-09-09 Yoon Lee , Yonatan Mintz , Anil Aswani , Zuo-Jun Max Shen , Cong Yang

Many control policies used in various applications determine the input or action by solving a convex optimization problem that depends on the current state and some parameters. Common examples of such convex optimization control policies…

Optimization and Control · Mathematics 2019-12-23 Akshay Agrawal , Shane Barratt , Stephen Boyd , Bartolomeo Stellato

Designers, process planners and manufacturers naturally consider different concepts for a same object. The stiffness of production means and the design specification requirements mark out process planners as responsible of the coherent…

Other Computer Science · Computer Science 2014-02-07 Alexandre Candlot , Nicolas Perry , Alain Bernard , Samar Ammar-Khodja

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 increasing demand for electricity and the aging infrastructure of power distribution systems have raised significant concerns about future system reliability. Failures in distribution systems, closely linked to system usage and…

Optimization and Control · Mathematics 2024-10-21 Gejia Zhang , Robert Mieth

We propose a two-stage algorithm for energy-efficient resource allocation constrained to QoS and physical requirements in OFDM-based EONs. The first stage deals with routing, grooming and traffic ordering and aims at minimizing amplifier…

Information Theory · Computer Science 2017-05-22 Mohammad Hadi , Mohammad Reza Pakravan

Today, software-intensive systems are increasingly being developed in a globally distributed way. However, besides its benefit, global development also bears a set of risks and problems. One critical factor for successful project management…

Software Engineering · Computer Science 2013-12-12 Ansgar Lamersdorf , Jürgen Münch , Dieter Rombach

This article aims to introduce the paradigm of distributional robustness from the field of convex optimization to tackle optimal design problems under uncertainty. We consider realistic situations where the physical model, and thereby the…

Optimization and Control · Mathematics 2025-07-30 Charles Dapogny , Julien Prando , Boris Thibert

We consider a stochastic inventory control problem under censored demands, lost sales, and positive lead times. This is a fundamental problem in inventory management, with significant literature establishing near-optimality of a simple…

Machine Learning · Computer Science 2019-05-14 Shipra Agrawal , Randy Jia

Finding the optimal product prices and product assortment are two fundamental problems in revenue management. Usually, a seller needs to jointly determine the prices and assortment while managing a network of resources with limited…

Optimization and Control · Mathematics 2022-04-12 Anton J. Kleywegt , Hongzhang Shao

The dynamic portfolio optimization problem in finance frequently requires learning policies that adhere to various constraints, driven by investor preferences and risk. We motivate this problem of finding an allocation policy within a…

Artificial Intelligence · Computer Science 2020-12-23 Nymisha Bandi , Theja Tulabandhula

Resource allocation is a fundamental problem in Industrial Internet of Things (IIoT) systems, in which devices work together under limited communication bandwidth to complete diverse tasks. This paper proposes a communication-efficient…

Optimization and Control · Mathematics 2026-05-26 Yuzhu Duan , Ziwen Yang , Xiaoming Duan , Shanying Zhu

Stochastic choice-based discrete planning is a broad class of decision-making problems characterized by a sequential decision-making process involving a planner and a group of customers. The firm or planner first decides a subset of options…

Optimization and Control · Mathematics 2024-09-20 Jiajie Zhang , Yun Hui Lin , Gerardo Berbeglia

We define and develop an approach for risk budgeting allocation - a risk diversification portfolio strategy - where risk is measured using a dynamic time-consistent risk measure. For this, we introduce a notion of dynamic risk contributions…

Mathematical Finance · Quantitative Finance 2024-11-01 Silvana M. Pesenti , Sebastian Jaimungal , Yuri F. Saporito , Rodrigo S. Targino

This paper concerns the mechanism design for online resource allocation in a strategic setting. In this setting, a single supplier allocates capacity-limited resources to requests that arrive in a sequential and arbitrary manner. Each…

Computer Science and Game Theory · Computer Science 2023-10-10 Xiaoqi Tan , Bo Sun , Alberto Leon-Garcia , Yuan Wu , Danny H. K. Tsang

In this paper, we consider a network capacity expansion problem in the context of telecommunication networks, where there is uncertainty associated with the expected traffic demand. We employ a distributionally robust stochastic…

Optimization and Control · Mathematics 2020-04-10 Trivikram Dokka , Francis Garuba , Marc Goerigk , Peter Jacko

In this paper, we study a constrained utility maximization problem following the convex duality approach. After formulating the primal and dual problems, we construct the necessary and sufficient conditions for both the primal and dual…

Mathematical Finance · Quantitative Finance 2016-12-15 Yusong Li , Harry Zheng
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