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We present a mixed multinomial logit (MNL) model, which leverages the truncated stick-breaking process representation of the Dirichlet process as a flexible nonparametric mixing distribution. The proposed model is a Dirichlet process…

Applications · Statistics 2018-01-22 Rico Krueger , Akshay Vij , Taha H. Rashidi

We study optimal experimental design for multinomial logit (MNL) bandits, where an agent repeatedly selects a subset of $K$ items from a ground set of size $N$ and observes single-choice feedback. Unlike linear or generalized linear…

Machine Learning · Statistics 2026-05-26 Joongkyu Lee , Min-hwan Oh

In this paper, we develop mixed integer linear programming models to compute near-optimal policy parameters for the non-stationary stochastic lot sizing problem under Bookbinder and Tan's static-dynamic uncertainty strategy. Our models…

Optimization and Control · Mathematics 2014-09-18 Roberto Rossi , Onur A. Kilic , S. Armagan Tarim

In this paper, we explore the challenge of assortment planning in the context of quick-commerce, a rapidly-growing business model that aims to deliver time-sensitive products. In order to achieve quick delivery to satisfy the immediate…

Optimization and Control · Mathematics 2025-08-06 Yajing Chen , Taotao He , Ying Rong , Yunlong Wang

This paper studies the problem of steering the distribution of a discrete-time dynamical system from an initial distribution to a target distribution in finite time. The formulation is fully nonlinear, allowing the use of general control…

Systems and Control · Electrical Eng. & Systems 2024-09-05 George Rapakoulias , Panagiotis Tsiotras

Product ranking is the core problem for revenue-maximizing online retailers. To design proper product ranking algorithms, various consumer choice models are proposed to characterize the consumers' behaviors when they are provided with a…

Machine Learning · Computer Science 2023-01-03 Renzhe Xu , Xingxuan Zhang , Bo Li , Yafeng Zhang , Xiaolong Chen , Peng Cui

This paper introduces a new data-driven methodology for nested logit structure discovery. Nested logit models allow the modeling of positive correlations between the error terms of the utility specifications of the different alternatives in…

Methodology · Statistics 2020-08-19 Youssef M. Aboutaleb , Moshe Ben-Akiva , Patrick Jaillet

Motivated by applications in e-retail and online advertising, we study the problem of assortment optimization under visibility constraints, that we refer to as APV. Here, we are given a universe of substitutable products and a stream of…

Optimization and Control · Mathematics 2025-02-18 Theo Barre , Omar El Housni , Marouane Ibn Brahim , Andrea Lodi , Danny Segev

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

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

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

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

A fundamental problem in revenue management is to optimally choose the attributes of products, such that the total profit or revenue or market share is maximized. Usually, these attributes can affect both a product's market share…

Optimization and Control · Mathematics 2021-12-24 Hongzhang Shao , Anton J. Kleywegt

Most recent research in network revenue management incorporates choice behavior that models the customers' buying logic. These models are consequently more complex to solve, but they return a more robust policy that usually generates better…

Optimization and Control · Mathematics 2019-11-05 Thibault Barbier , Miguel Anjos , Fabien Cirinei , Gilles Savard

Motivated by applications in retail, online advertising, and cultural markets, this paper studies how to find the optimal assortment and positioning of products subject to a capacity constraint. We prove that the optimal assortment and…

Data Structures and Algorithms · Computer Science 2021-10-01 Andres Abeliuk , Gerardo Berbeglia , Manuel Cebrian , Pascal Van Hentenryck

The rise of big data analytics has automated the decision-making of companies and increased supply chain agility. In this paper, we study the supply chain contract design problem faced by a data-driven supplier who needs to respond to the…

Machine Learning · Computer Science 2022-11-10 Xuejun Zhao , Ruihao Zhu , William B. Haskell

We propose a new discrete choice model, called the generalized stochastic preference (GSP) model, that incorporates non-rationality into the stochastic preference (SP) choice model, also known as the rank-based model. Our model can capture…

Computer Science and Game Theory · Computer Science 2025-08-28 Gerardo Berbeglia , Ashwin Venkataraman

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…

Econometrics · Economics 2025-09-03 Hoang Giang Pham , Tien Mai , Minh Ha Hoang

We study the multinomial logit (MNL) bandit problem, where at each time step, the seller offers an assortment of size at most $K$ from a pool of $N$ items, and the buyer purchases an item from the assortment according to a MNL choice model.…

Machine Learning · Computer Science 2020-11-20 Jiaqi Yang

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
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