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Related papers: The Refined Assortment Optimization Problem

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Due to numerous applications in retail and (online) advertising the problem of assortment selection has been widely studied under many combinations of discrete choice models and feasibility constraints. In many situations, however, an…

Data Structures and Algorithms · Computer Science 2023-08-11 Vineet Goyal , Salal Humair , Orestis Papadigenopoulos , Assaf Zeevi

We consider the following two deterministic inventory optimization problems over a finite planning horizon $T$ with non-stationary demands. (a) Submodular Joint Replenishment Problem: This involves multiple item types and a single retailer…

Data Structures and Algorithms · Computer Science 2015-04-27 Viswanath Nagarajan , Cong Shi

In this paper, we consider a Markov chain choice model with single transition. In this model, customers arrive at each product with a certain probability. If the arrived product is unavailable, then the seller can recommend a subset of…

Optimization and Control · Mathematics 2017-02-14 Kameng Nip , Zhenbo Wang , Zizhuo Wang

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…

Computer Science and Game Theory · Computer Science 2020-08-27 Moshe Babaioff , Michal Feldman , Yannai A. Gonczarowski , Brendan Lucier , Inbal Talgam-Cohen

Motivated by e-commerce, we study the online assortment optimization problem. The seller offers an assortment, i.e. a subset of products, to each arriving customer, who then purchases one or no product from her offered assortment. A…

Machine Learning · Computer Science 2017-04-04 Wang Chi Cheung , David Simchi-Levi

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…

Optimization and Control · Mathematics 2025-11-05 Xi Chen , Mo Liu , Yining Wang , Yuan Zhou

We study assortment and price optimization under the generalized nested logit (GNL) model, one of the most general and flexible modeling frameworks in discrete choice modeling. Despite its modeling advantages, optimization under GNL is…

General Economics · Economics 2026-01-09 Hoang Giang Pham , Tien Mai

In markets where customers tend to purchase baskets of products rather than single products, assortment optimization is a major challenge for retailers. Removing a product from a retailer's assortment can result in a severe drop in…

Optimization and Control · Mathematics 2025-11-18 Andrey Vasilyev , Sebastian Maier , Ralf W. Seifert

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

In this paper, we study the assortment optimization problem under the mixed-logit customer choice model. While assortment optimization has been a major topic in revenue management for decades, the mixed-logit model is considered one of the…

Optimization and Control · Mathematics 2024-07-29 Hoang Giang Pham , Tien Mai

This paper studies assortment and pricing optimization problems under the Two-Stage Luce model (2SLM), a discrete choice model introduced by Echenique and Saito (2018) that generalizes the multinomial logit model (MNL). The model employs an…

Discrete Mathematics · Computer Science 2019-04-24 Alvaro Flores , Gerardo Berbeglia , Pascal Van Hentenryck

Discrete-choice models are used in economics, marketing and revenue management to predict customer purchase probabilities, say as a function of prices and other features of the offered assortment. While they have been shown to be…

Artificial Intelligence · Computer Science 2023-08-11 Hanzhao Wang , Zhongze Cai , Xiaocheng Li , Kalyan Talluri

Randomized mechanisms, which map a set of bids to a probability distribution over outcomes rather than a single outcome, are an important but ill-understood area of computational mechanism design. We investigate the role of randomized…

Computer Science and Game Theory · Computer Science 2009-04-17 Patrick Briest , Shuchi Chawla , Robert Kleinberg , S. Matthew Weinberg

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

We consider an assortment optimization problem where a customer chooses a single item from a sequence of sets shown to her, while limited inventories constrain the items offered to customers over time. In the special case where all of the…

Data Structures and Algorithms · Computer Science 2020-07-28 Elaheh Fata , Will Ma , David Simchi-Levi

Assortment optimization is an important problem that arises in many industries such as retailing and online advertising where the goal is to find a subset of products from a universe of substitutable products which maximize seller's…

Theoretical Economics · Economics 2020-12-15 Kumar Goutam , Vineet Goyal , Agathe Soret

The Rank Pricing Problem (RPP) is a challenging bilevel optimization problem with binary variables whose objective is to determine the optimal pricing strategy for a set of products to maximize the total benefit, given that customer…

Optimization and Control · Mathematics 2025-02-27 Asunción Jiménez-Cordero , Salvador Pineda , Juan Miguel Morales

To study the limits of personalization, we introduce the notion of a clairvoyant firm that can read the mind of consumers and sell them the highest revenue product that they are willing to buy. We show how to compute the expected revenue of…

Theoretical Economics · Economics 2024-06-13 Guillermo Gallego , Gerardo Berbeglia

We consider a vehicle routing problem which seeks to minimize cost subject to service level constraints on several groups of deliveries. This problem captures some essential challenges faced by a logistics provider which operates…

Optimization and Control · Mathematics 2017-06-13 Teobaldo Bulhões , Minh Hoàng Hà , Rafael Martinelli , Thibaut Vidal

Price-based revenue management is an important problem in operations management with many practical applications. The problem considers a retailer who sells a product (or multiple products) over $T$ consecutive time periods and is subject…

Optimization and Control · Mathematics 2021-01-01 Yining Wang , He Wang