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We consider a profit maximization problem in an urban mobility on-demand service, of which the operator owns a fleet, provides both exclusive and shared trip services, and dynamically determines prices of offers. With knowledge of the…

Optimization and Control · Mathematics 2018-02-13 Han Qiu , Ruimin Li , Jinhua Zhao

We propose an algorithm to calculate the exact solution for utility optimization problems on finite state spaces under a class of non-differentiable preferences. We prove that optimal strategies must lie on a discrete grid in the plane, and…

Pricing of Securities · Quantitative Finance 2018-10-01 Marcellino Gaudenzi , Michel Vellekoop

Selecting which products to display and at what prices is a central decision in retail and e-commerce operations. In many applications, these two choices must be made jointly under limited display capacity and uncertain customer demand. In…

Optimization and Control · Mathematics 2026-04-22 Yunfan Zhang , Yuxuan Han , Hongyu Shan , Jose Blanchet , Zhengyuan Zhou

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 study the problem of pricing under a Multinomial Logit model where we incorporate network effects over the consumer's decisions. We analyse both cases, when sellers compete or collaborate. In particular, we pay special attention to the…

Computer Science and Game Theory · Computer Science 2020-05-08 Felipe Maldonado , Gerardo Berbeglia , Pascal Van Hentenryck

Scalable real-time assortment optimization has become essential in e-commerce operations due to the need for personalization and the availability of a large variety of items. While this can be done when there are simplistic assortment…

Artificial Intelligence · Computer Science 2021-03-03 Theja Tulabandhula , Deeksha Sinha , Saketh Karra

Assortment optimization is a critical tool for online retailers aiming to maximize revenue. However, optimizing purely for revenue can lead to unbalanced sales across products, potentially causing a long tail of low-selling products and…

Computer Science and Game Theory · Computer Science 2026-03-16 Omar El Housni , Qing Feng , Huseyin Topaloglu

We study the problem of optimizing assortment decisions in the presence of product-specific costs when customers choose according to a multinomial logit model. This problem is NP-hard and approximate solutions methods have been proposed in…

Optimization and Control · Mathematics 2023-12-05 Markus Leitner , Andrea Lodi , Roberto Roberti , Claudio Sole

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…

Computer Science and Game Theory · Computer Science 2008-08-13 Shuchi Chawla , Jason Hartline , Robert Kleinberg

This paper develops algorithms to solve strong-substitutes product-mix auctions. That is, it finds competitive equilibrium prices and quantities for agents who use this auction's bidding language to truthfully express their…

Computer Science and Game Theory · Computer Science 2023-07-11 Elizabeth Baldwin , Paul W. Goldberg , Paul Klemperer , Edwin Lock

Motivated by modern-day applications such as Attended Home Delivery and Preference-based Group Scheduling, where decision makers wish to steer a large number of customers toward choosing the exact same alternative, we introduce a novel…

Optimization and Control · Mathematics 2025-02-13 Omar El Housni , Marouane Ibn Brahim , Danny Segev

Mobility-on-Demand (MoD) systems have become a fixture in urban transportation networks, with the rapid growth of ride-hailing services such as Uber and Lyft. Ride-hailing is typically complemented with ridepooling options, which can reduce…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Yang Liu , Qi Luo , Raga Gopalakrishnan , Samitha Samaranayake

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

We consider the constrained assortment optimization problem under the mixed multinomial logit model. Even moderately sized instances of this problem are challenging to solve directly using standard mixed-integer linear optimization…

Optimization and Control · Mathematics 2017-08-15 Alper Sen , Alper Atamturk , Philip Kaminsky

The assortment problem in revenue management is the problem of deciding which subset of products to offer to consumers in order to maximise revenue. A simple and natural strategy is to select the best assortment out of all those that are…

Data Structures and Algorithms · Computer Science 2019-02-22 Gerardo Berbeglia , Gwenaël Joret

In this paper, we propose a realistic multiple dynamic pricing approach to demand response in the retail market. First, an adaptive clustering-based customer segmentation framework is proposed to categorize customers into different groups…

Systems and Control · Electrical Eng. & Systems 2021-06-11 Fanlin Meng , Qian Ma , Zixu Liu , Xiao-Jun Zeng

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…

Computational Finance · Quantitative Finance 2021-01-11 Thomas Deschatre , Joseph Mikael

This paper studies optimal pricing and rebalancing policies for Autonomous Mobility-on-Demand (AMoD) systems. We take a macroscopic planning perspective to tackle a profit maximization problem while ensuring that the system is…

Optimization and Control · Mathematics 2020-03-31 Salomón Wollenstein-Betech , Ioannis Ch. Paschalidis , Christos G. Cassandras

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

We consider dynamic multi-product pricing and assortment problems under an unknown demand over T periods, where in each period, the seller decides on the price for each product or the assortment of products to offer to a customer who…

Machine Learning · Computer Science 2022-11-15 Vineet Goyal , Noemie Perivier