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This paper proposes a mathematical model for the design of a two-echelon supply chain where a set of suppliers serve a set of terminal facilities that receive uncertain customer demands. This model integrates a number of system decisions in…

Optimization and Control · Mathematics 2015-11-26 Jianxun Cui , Meng Zhao , Xiaopeng Li , Mohsen Parsafard , Shi An

The majority of recommender systems are designed to recommend items (such as movies and products) to users. We focus on the problem of recommending buyers to sellers which comes with new challenges: (1) constraints on the number of…

Social and Information Networks · Computer Science 2014-06-16 Cheng Chen , Lan Zheng , Venkatesh Srinivasan , Alex Thomo , Kui Wu , Anthony Sukow

We propose a framework for modeling and solving low-rank optimization problems to certifiable optimality. We introduce symmetric projection matrices that satisfy $Y^2=Y$, the matrix analog of binary variables that satisfy $z^2=z$, to model…

Optimization and Control · Mathematics 2021-12-22 Dimitris Bertsimas , Ryan Cory-Wright , Jean Pauphilet

Assemble-to-order approaches deal with randomness in demand for end items by producing components under uncertainty, but assembling them only after demand is observed. Such planning problems can be tackled by stochastic programming, but…

Optimization and Control · Mathematics 2023-11-23 Daniele Giovanni Gioia , Edoardo Fadda , Paolo Brandimarte

Prediction sets can wrap around any ML model to cover unknown test outcomes with a guaranteed probability. Yet, it remains unclear how to use them optimally for downstream decision-making. Here, we propose a decision-theoretic framework…

Machine Learning · Statistics 2026-02-10 Tao Wang , Edgar Dobriban

Two-sided platforms must recommend users to users, where matches (termed \emph{dates} in this paper) require mutual interest and activity on both sides. Naive ranking by predicted dating probabilities concentrates exposure on a small subset…

General Economics · Economics 2026-02-24 Kazuki Sekiya , Suguru Otani , Yuki Komatsu , Sachio Ohkawa , Shunya Noda

We study generalizations of online bipartite matching in which each arriving vertex (customer) views a ranked list of offline vertices (products) and matches to (purchases) the first one they deem acceptable. The number of products that the…

Data Structures and Algorithms · Computer Science 2023-06-27 Brian Brubach , Nathaniel Grammel , Will Ma , Aravind Srinivasan

We consider an intermediary's problem of dynamically matching demand and supply of heterogeneous types in a periodic-review fashion. More specifically, there are two disjoint sets of demand and supply types, and a reward associated with…

Optimization and Control · Mathematics 2018-11-20 Ming Hu , Yun Zhou

Inventory Routing Problem (IRP) is a crucial challenge in supply chain management as it involves optimizing efficient route selection while considering the uncertainty of inventory demand planning. To solve IRPs, usually a two-stage…

Machine Learning · Computer Science 2024-01-02 MD Shafikul Islam , Azmine Toushik Wasi

Optimization problems with the objective function in the form of weighted sum and linear equality constraints are considered. Given that the number of local cost functions can be large as well as the number of constraints, a stochastic…

Optimization and Control · Mathematics 2026-05-26 Nataša Krejić , Nataša Krklec Jerinkić , Sanja Rapajić , Luka Rutešić

Strategic bidding problems in electricity markets are widely studied in power systems, often by formulating complex bi-level optimization problems that are hard to solve. The state-of-the-art approach to solve such problems is to…

Optimization and Control · Mathematics 2016-06-21 Mahdi Ghamkhari , Ashkan Sadeghi-Mobarakeh , Hamed Mohsenian-Rad

A matching in a two-sided market often incurs an externality: a matched resource may become unavailable to the other side of the market, at least for a while. This is especially an issue in online platforms involving human experts as the…

Artificial Intelligence · Computer Science 2018-10-30 Virag Shah , Lennart Gulikers , Laurent Massoulie , Milan Vojnovic

Rejection Sampling is a fundamental Monte-Carlo method. It is used to sample from distributions admitting a probability density function which can be evaluated exactly at any given point, albeit at a high computational cost. However,…

Machine Learning · Statistics 2018-10-23 Juliette Achdou , Joseph C. Lam , Alexandra Carpentier , Gilles Blanchard

Product assortment selection is a critical challenge facing physical retailers. Effectively aligning inventory with the preferences of shoppers can increase sales and decrease out-of-stocks. However, in real-world settings the problem is…

Machine Learning · Computer Science 2024-06-14 Porter Jenkins , Michael Selander , J. Stockton Jenkins , Andrew Merrill , Kyle Armstrong

Today's global supply chains face growing challenges due to rapidly changing market conditions, increased network complexity and inter-dependency, and dynamic uncertainties in supply, demand, and other factors. To combat these challenges,…

Optimization and Control · Mathematics 2025-02-18 Zhaoyang Larry Jin , Mehdi Maasoumy , Yimin Liu , Zeshi Zheng , Zizhuo Ren

The importance of accurate recommender systems has been widely recognized by academia and industry. However, the recommendation quality is still rather low. Recently, a linear sparse and low-rank representation of the user-item matrix has…

Information Retrieval · Computer Science 2016-02-29 Zhao Kang , Qiang Cheng

The Joint Replenishment Problem (JRP) deals with optimizing shipments of goods from a supplier to retailers through a shared warehouse. Each shipment involves transporting goods from the supplier to the warehouse, at a fixed cost C,…

Data Structures and Algorithms · Computer Science 2013-07-10 Marcin Bienkowski , Jaroslaw Byrka , Marek Chrobak , Łukasz Jeż , Jiří Sgall

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

Recommender systems can be formulated as a matrix completion problem, predicting ratings from user and item parameter vectors. Optimizing these parameters by subsampling data becomes difficult as the number of users and items grows. We…

Information Retrieval · Computer Science 2018-07-09 Elias Tragas , Calvin Luo , Maxime Gazeau , Kevin Luk , David Duvenaud

The procure to pay process (P2P) in large enterprises is a back-end business process which deals with the procurement of products and services for enterprise operations. Procurement is done by issuing purchase orders to impaneled vendors…

Machine Learning · Computer Science 2020-02-17 Chandresh Kumar Maurya , Neelamadhav Gantayat , Sampath Dechu , Tomas Horvath
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