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We consider a retailer selling a single product with limited on-hand inventory over a finite selling season. Customer demand arrives according to a Poisson process, the rate of which is influenced by a single action taken by the retailer…

Machine Learning · Computer Science 2013-06-28 Zizhuo Wang , Shiming Deng , Yinyu Ye

We consider rate swaps which pay a fixed rate against a floating rate in presence of bid-ask spread costs. Even for simple models of bid-ask spread costs, there is no explicit strategy optimizing an expected function of the hedging error.…

Computational Finance · Quantitative Finance 2016-04-13 Christophe Michel , Victor Reutenauer , Denis Talay , Etienne Tanré

We study the pricing problem faced by a firm that sells a large number of products, described via a wide range of features, to customers that arrive over time. Customers independently make purchasing decisions according to a general choice…

Machine Learning · Statistics 2018-01-03 Adel Javanmard , Hamid Nazerzadeh

Demand Response is an emerging technology which will transform the power grid of tomorrow. It is revolutionary, not only because it will enable peak load shaving and will add resources to manage large distribution systems, but mainly…

Information Theory · Computer Science 2012-09-26 Vicenç Gómez , Michael Chertkov , Scott Backhaus , Hilbert J. Kappen

We revisit the inverted pendulum problem with the goal of understanding and computing the true optimal value function. We start with an observation that the true optimal value function must be nonsmooth ($i.e.$, not globally $C^1$) due to…

Optimization and Control · Mathematics 2024-08-05 Haoyu Han , Heng Yang

We consider the setting in which an electric power utility seeks to curtail its peak electricity demand by offering a fixed group of customers a uniform price for reductions in consumption relative to their predetermined baselines. The…

Machine Learning · Computer Science 2018-06-20 Kia Khezeli , Eilyan Bitar

We introduce a price impact model which accounts for finite market depth, tightness and resilience. Its coupled bid- and ask-price dynamics induce convex liquidity costs. We provide existence of an optimal solution to the classical problem…

Mathematical Finance · Quantitative Finance 2018-04-23 Peter Bank , Moritz Voß

We study a demand response problem from utility (also referred to as operator)'s perspective with realistic settings, in which the utility faces uncertainty and limited communication. Specifically, the utility does not know the cost…

Optimization and Control · Mathematics 2017-08-11 Pan Li , Hao Wang , Baosen Zhang

We consider the Item Pricing problem for revenue maximization in the limited supply setting, where a single seller with $n$ items caters to $m$ buyers with unknown subadditive valuation functions who arrive in a sequence. The seller sets…

Computer Science and Game Theory · Computer Science 2009-05-21 Tanmoy Chakraborty , Zhiyi Huang , Sanjeev Khanna

Minimizing the peak power consumption and matching demand to supply, under fixed threshold polices, are two key requirements for the success of the future electricity market. In this work, we consider dynamic pricing methods to minimize the…

Optimization and Control · Mathematics 2016-10-26 Zaid Almahmoud , Jacob Crandall , Khaled Elbassioni , Trung Thanh Nguyen , Mardavij Roozbehani

Linear matrix inequalities (LMIs) are ubiquitous in modern control theory, as well as in a variety of other fields in science and engineering. Their analytic centers, i.e. the maximum determinant elements of the feasible set spanned by…

Optimization and Control · Mathematics 2022-02-28 Biel Roig-Solvas , Mario Sznaier

We study revenue optimization learning algorithms for repeated posted-price auctions where a seller interacts with a single strategic buyer that holds a fixed private valuation for a good and seeks to maximize his cumulative discounted…

Computer Science and Game Theory · Computer Science 2018-02-09 Alexey Drutsa

As data marketplaces become increasingly central to the digital economy, it is crucial to design efficient pricing mechanisms that optimize revenue while ensuring fair and adaptive pricing. We introduce the Maximum Auction-to-Posted Price…

Machine Learning · Statistics 2026-04-06 Yingqi Gao , Wenlu Xu , Jin J. Zhou , Hua Zhou , Yong Chen , Xiaowu Dai

Employing probabilistic techniques we compute best possible upper and lower bounds on the price of an option on one or two assets with continuous piecewise linear payoff function based on prices of simple call options of possibly distinct…

Probability · Mathematics 2008-12-02 Dimitris Bertsimas , Natasha Bushueva

This study presents an analytical method for tuning PI controllers in First-Order with Time Delay (FOTD) systems, leveraging the Lambert W function. The Lambert W function enables exact pole placement, yielding analytical expressions for PI…

Systems and Control · Electrical Eng. & Systems 2026-01-22 Senol Gulgonul

We consider the revenue management problem of finding profit-maximising prices for delivery time slots in the context of attended home delivery. This multi-stage optimal control problem admits a dynamic programming formulation that is…

Optimization and Control · Mathematics 2020-08-04 Denis Lebedev , Kostas Margellos , Paul Goulart

We consider the problem of supply and demand balancing that is stated as a minimization problem for the total expected revenue function describing the behavior of both consumers and suppliers. In the considered market model we assume that…

Optimization and Control · Mathematics 2021-06-29 Dmitry Pasechnyuk , Pavel Dvurechensky , Sergey Omelchenko , Alexander Gasnikov

A company provides a service at different time slots, each slot being endowed with a capacity. A non-atomic population of users is willing to purchase this service. The population is modeled as a continuous measure over the preferred times.…

Optimization and Control · Mathematics 2026-03-19 Olivier Bilenne , Frédéric Meunier

We consider the problem of a firm seeking to use personalized pricing to sell an exogenously given stock of a product over a finite selling horizon to different consumer types. We assume that the type of an arriving consumer can be observed…

Machine Learning · Computer Science 2021-10-08 Ningyuan Chen , Guillermo Gallego

An instance of the tollbooth problem consists of an undirected network and a collection of single-minded customers, each of which is interested in purchasing a fixed path subject to an individual budget constraint. The objective is to…

Data Structures and Algorithms · Computer Science 2010-02-11 Iftah Gamzu , Danny Segev