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Selling a perfectly divisible item to potential buyers is a fundamental task with apparent applications to pricing communication bandwidth and cloud computing services. Surprisingly, despite the rich literature on single-item auctions,…

Computer Science and Game Theory · Computer Science 2025-02-11 Ioannis Caragiannis , Zhile Jiang , Apostolis Kerentzis

The relationship between demand and prices of a set of products can be modeled as a linear mapping from logarithmic price changes to logarithmic changes in demand. We consider the problem of estimating the coefficient matrix of this…

Optimization and Control · Mathematics 2026-04-15 Maximilian Schaller , Stephen Boyd

Traffic management by applying congestion pricing is a measure for mitigating congestion in protected city corridors. As a promising tool, pricing improves the level of service in a network and reduces travel delays. However, real-world…

Robotics · Computer Science 2021-12-14 Alexander Genser , Anastasios Kouvelas

This paper is concerned with personalized pricing models aimed at maximizing the expected revenues or profits for a single item. While it is essential for personalized pricing to predict the purchase probabilities for each consumer, these…

Optimization and Control · Mathematics 2024-07-23 Shunnosuke Ikeda , Naoki Nishimura , Noriyoshi Sukegawa , Yuichi Takano

We consider multistage stochastic linear optimization problems combining joint dynamic probabilistic constraints with hard constraints. We develop a method for projecting decision rules onto hard constraints of wait-and-see type. We…

Optimization and Control · Mathematics 2016-09-16 Vincent Guigues , Rene Henrion

Optimal planning with respect to learned neural network (NN) models in continuous action and state spaces using mixed-integer linear programming (MILP) is a challenging task for branch-and-bound solvers due to the poor linear relaxation of…

Artificial Intelligence · Computer Science 2019-07-29 Buser Say , Scott Sanner , Sylvie Thiébaux

Problem definition: We study a data-driven pricing problem in which a seller sets a price for a single item based on demand observed at a limited number of historical prices. Our goal is to quantify the value of such information and to…

Computer Science and Game Theory · Computer Science 2026-05-19 Achraf Bahamou , Omar Besbes , Omar Mouchtaki

Efficient large-scale network allocation requires data-driven pricing mechanisms that internalize the stochastic and non-linear dynamics of user behavior. We move beyond the classic fully strategic agents to study oblivious users (agents…

Numerical Analysis · Mathematics 2026-05-28 Yixuan Li , Andersen Ang , Sebastian Stein

In this paper, we solve the multiple product price optimization problem under interval uncertainties of the price sensitivity parameters in the demand function. The objective of the price optimization problem is to maximize the overall…

Optimization and Control · Mathematics 2021-07-01 Mahdi Hamzeei , Alvin Lim , Jiefeng Xu

We study an online dynamic pricing problem where the potential demand at each time period $t=1,2,\ldots, T$ is stochastic and dependent on the price. However, a perishable inventory is imposed at the beginning of each time $t$, censoring…

Machine Learning · Statistics 2026-01-26 Jianyu Xu , Yining Wang , Xi Chen , Yu-Xiang Wang

This paper analyzes a service system modeled as a single-server queue, in which the service provider aims to dynamically maximize the expected revenue per unit of time. This is achieved by constructing a stochastic gradient descent…

Optimization and Control · Mathematics 2026-03-05 Shreehari Anand Bodas , Harsha Honnappa , Michel Mandjes , Liron Ravner

We study the dynamic pricing and replenishment problems under inconsistent decision frequencies. Different from the traditional demand assumption, the discreteness of demand and the parameter within the Poisson distribution as a function of…

Machine Learning · Computer Science 2024-10-29 Yi Zheng , Zehao Li , Peng Jiang , Yijie Peng

We study the online constrained ranking problem motivated by an application to web-traffic shaping: an online stream of sessions arrive in which, within each session, we are asked to rank items. The challenge involves optimizing the ranking…

Optimization and Control · Mathematics 2017-02-24 Parikshit Shah , Akshay Soni , Troy Chevalier

We consider a feature-based personalized pricing problem in which the buyer is strategic: given the seller's pricing policy, the buyer can augment the features that they reveal to the seller to obtain a low price for the product. We model…

Optimization and Control · Mathematics 2024-08-19 Zhi Chen , Bradley Sturt , Weijun Xie

We consider a general queueing system with price-sensitive customers in which the service provider seeks to balance two objectives, maximizing the average revenue rate and minimizing the average queue length. Customers arrive according to a…

Data Structures and Algorithms · Computer Science 2025-12-09 Jacob Bergquist , Adam N. Elmachtoub

We consider a revenue maximization model, in which a company aims at designing a menu of contracts, given a population of customers. A standard approach consists in constructing an incentive-compatible continuum of contracts, i.e., a menu…

Optimization and Control · Mathematics 2023-03-31 Quentin Jacquet , Wim van Ackooij , Clémence Alasseur , Stéphane Gaubert

We consider a dynamic pricing problem under unknown demand models. In this problem a seller offers prices to a stream of customers and observes either success or failure in each sale attempt. The underlying demand model is unknown to the…

Machine Learning · Computer Science 2012-10-30 Pouya Tehrani , Yixuan Zhai , Qing Zhao

The design of integrated mobility-on-demand services requires jointly considering the interactions between traveler choice behavior and operators' operation policies to design a financially sustainable pricing scheme. However, most existing…

General Economics · Economics 2020-06-09 Tai-Yu Ma , Sylvain Klein

We study an online joint assortment-inventory optimization problem, in which we assume that the choice behavior of each customer follows the Multinomial Logit (MNL) choice model, and the attraction parameters are unknown a priori. The…

Machine Learning · Computer Science 2025-01-03 Yong Liang , Xiaojie Mao , Shiyuan Wang

This paper presents a new dynamic pricing model (a.k.a. real-time pricing) that reflects startup costs of generators. Dynamic pricing, which is a method to control demand by pricing electricity at hourly (or more often) intervals, has been…

Optimization and Control · Mathematics 2014-03-06 Naoki Ito , Akiko Takeda , Toru Namerikawa
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