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In this paper, we revisit parameter estimation for multinomial logit (MNL), nested logit (NL), and tree-nested logit (TNL) models through the framework of convex conic optimization. Traditional approaches typically solve the maximum…

计量经济学 · 经济学 2025-09-03 Hoang Giang Pham , Tien Mai , Minh Ha Hoang

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…

最优化与控制 · 数学 2021-10-19 Tien Mai , Patrick Jaillet

Electricity market operators worldwide use mixed-integer linear programming to solve the allocation problem in wholesale electricity markets. Prices are typically determined based on the duals of relaxed versions of this optimization…

计算机科学与博弈论 · 计算机科学 2023-12-13 Mete Şeref Ahunbay , Martin Bichler , Teodora Dobos , Johannes Knörr

Dynamic pricing is commonly used to regulate congestion in shared service systems. This paper is motivated by the fact that in the presence of users with varying price sensitivity (responsiveness), conventional monotonic pricing can lead to…

系统与控制 · 电气工程与系统科学 2026-03-24 Yingqing Chen , Anni Li , Christos G. Cassandras , Homayoun Hamedmoghadam , Fabian Wirth , Robert Shorten

We address the optimal design of a large scale multi-agent system where each agent has discrete and/or continuous decision variables that need to be set so as to optimize the sum of linear local cost functions, in presence of linear local…

最优化与控制 · 数学 2017-06-28 Alessandro Falsone , Kostas Margellos , Maria Prandini

We study financial networks where banks are connected through bilateral liabilities and may default when resources are insufficient to meet obligations. We consider both the standard proportional clearing model and a priority-proportional…

计算机科学与博弈论 · 计算机科学 2026-03-31 Gergely Csáji , Rareş-Ioan Mateiu , Alexandru Popa , Ildikó Schlotter

Mixed Integer Linear Programs (MILP) are well known to be NP-hard (Non-deterministic Polynomial-time hard) problems in general. Even though pure optimization-based methods, such as constraint generation, are guaranteed to provide an optimal…

最优化与控制 · 数学 2022-07-18 Asunción Jiménez-Cordero , Juan Miguel Morales , Salvador Pineda

In this paper, we consider a multi-stage dynamic assortment optimization problem with multi-nomial choice modeling (MNL) under resource knapsack constraints. Given the current resource inventory levels, the retailer makes an assortment…

最优化与控制 · 数学 2025-11-05 Xi Chen , Mo Liu , Yining Wang , Yuan Zhou

This paper deals with a distributed Mixed-Integer Linear Programming (MILP) set-up arising in several control applications. Agents of a network aim to minimize the sum of local linear cost functions subject to both individual constraints…

最优化与控制 · 数学 2021-02-12 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano

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…

机器学习 · 计算机科学 2021-10-08 Ningyuan Chen , Guillermo Gallego

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…

最优化与控制 · 数学 2020-08-04 Denis Lebedev , Kostas Margellos , Paul Goulart

Optimizing the assortment of products to display to customers is a key to increasing revenue for both offline and online retailers. To trade-off between exploring customers' preference and exploiting customers' choices learned from data, in…

机器学习 · 计算机科学 2022-04-25 Hongbin Zhang , Yu Yang , Feng Wu , Qixin Zhang

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…

计算机科学与博弈论 · 计算机科学 2008-08-13 Shuchi Chawla , Jason Hartline , Robert Kleinberg

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…

最优化与控制 · 数学 2023-10-05 Zifan Wang , Changxin Liu , Thomas Parisini , Michael M. Zavlanos , Karl H. Johansson

In B2B markets, value-based pricing and selling has become an important alternative to discounting. This study outlines a modeling method that uses customer data (product offers made to each current or potential customer, features,…

计量经济学 · 经济学 2023-08-16 John V. Colias , Stella Park , Elizabeth Horn

We consider a high-dimensional dynamic pricing problem under non-stationarity, where a firm sells products to $T$ sequentially arriving consumers that behave according to an unknown demand model with potential changes at unknown times. The…

统计方法学 · 统计学 2023-03-21 Zifeng Zhao , Feiyu Jiang , Yi Yu , Xi Chen

We consider a robust version of the revenue maximization problem, where a single seller wishes to sell $n$ items to a single unit-demand buyer. In this robust version, the seller knows the buyer's marginal value distribution for each item…

计算机科学与博弈论 · 计算机科学 2020-08-27 Moshe Babaioff , Michal Feldman , Yannai A. Gonczarowski , Brendan Lucier , Inbal Talgam-Cohen

A new method for stochastic control based on neural networks and using randomisation of discrete random variables is proposed and applied to optimal stopping time problems. The method models directly the policy and does not need the…

计算金融 · 定量金融 2021-01-11 Thomas Deschatre , Joseph Mikael

Stochastic matching is the stochastic version of the well-known matching problem, which consists in maximizing the rewards of a matching under a set of probability distributions associated with the nodes and edges. In most stochastic…

最优化与控制 · 数学 2024-05-01 Yuya Hikima , Yasunori Akagi , Hideaki Kim

We consider an assortment optimization problem under the multinomial logit choice model with general covering constraints. In this problem, the seller offers an assortment that should contain a minimum number of products from multiple…

最优化与控制 · 数学 2025-10-06 Omar El Housni , Qing Feng , Huseyin Topaloglu