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We study online resource allocation under non-stationary demand with a minimum offline data requirement. In this problem, a decision-maker must allocate multiple types of resources to sequentially arriving queries over a finite horizon.…

Machine Learning · Computer Science 2026-02-23 Yiding Feng , Jiashuo Jiang , Yige Wang

We consider a distribution warehouse where both the inbound inventory replenishment and outbound dispatch decisions are subject to fixed (as well as per-unit) transportation charges and demand is stochastic. In order to realize scale…

Optimization and Control · Mathematics 2020-12-07 Bo Wei , Sila Cetinkaya , Daren B. H. Cline

Many retailers today employ inventory management systems based on Re-Order Point Policies, most of which rely on the assumption that all decreases in product inventory levels result from product sales. Unfortunately, it usually happens that…

Machine Learning · Statistics 2016-04-06 Luis I. Reyes-Castro , Andres G. Abad

We introduce a general model of resource allocation with customer choice. In this model, there are multiple resources that are available over a finite horizon. The resources are non-replenishable and perishable. Each unit of a resource can…

Optimization and Control · Mathematics 2015-11-06 Guillermo Gallego , Anran Li , Van-Anh Truong , Xinshang Wang

Demand forecasting plays an important role in many inventory control problems. To mitigate the potential harms of model misspecification, various forms of distributionally robust optimization have been applied. Although many of these…

Probability · Mathematics 2018-08-21 Linwei Xin , David A. Goldberg

This paper shows a comprehensive analysis of three algorithms (Time Series, Random Forest (RF) and Deep Reinforcement Learning) into three inventory models (the Lost Sales, Dual-Sourcing and Multi-Echelon Inventory Model). These…

Artificial Intelligence · Computer Science 2025-05-14 Lee Yeung Ping , Patrick Wong , Tan Cheng Han

Positional reasoning is the process of ordering unsorted parts contained in a set into a consistent structure. We present Positional Diffusion, a plug-and-play graph formulation with Diffusion Probabilistic Models to address positional…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Francesco Giuliari , Gianluca Scarpellini , Stuart James , Yiming Wang , Alessio Del Bue

We investigate propagation of convexity and convex ordering on a typical discrete-time stochastic optimal control problem, namely the pricing of swing option. The dynamics of the underlying asset is modelled by the Euler scheme of a…

Mathematical Finance · Quantitative Finance 2025-08-05 Gilles Pagès , Christian Yeo

This paper proposes to model asset price dynamics with a mixture of diffusion processes where the instantaneous volatility of the underlying diffusion process contains a random vector. The marginal probability distributions of the proposed…

Mathematical Finance · Quantitative Finance 2018-09-20 Xin Liu

Motivated by the applications of rental services in e-commerce, we consider revenue maximization in online assortment of reusable resources for a stream of arriving consumers with different types. We design competitive online algorithms…

Data Structures and Algorithms · Computer Science 2025-12-09 Yiding Feng , Rad Niazadeh , Amin Saberi

A key challenge in inventory management is to identify policies that optimally replenish inventory from multiple suppliers. To solve such optimization problems, inventory managers need to decide what quantities to order from each supplier,…

Machine Learning · Computer Science 2024-02-29 Lucas Böttcher , Thomas Asikis , Ioannis Fragkos

In economic applications, model averaging has found principal use examining the validity of various theories related to observed heterogeneity in outcomes such as growth, development, and trade.Though often easy to articulate, these…

Applications · Statistics 2019-10-16 Alex Lenkoski , Fredrik Lohne Aanes

We explore the methodology and theory of reward-directed generation via conditional diffusion models. Directed generation aims to generate samples with desired properties as measured by a reward function, which has broad applications in…

Machine Learning · Computer Science 2023-07-17 Hui Yuan , Kaixuan Huang , Chengzhuo Ni , Minshuo Chen , Mengdi Wang

We study a microscopic limit order book model, in which the order dynamics depend on the current best bid and ask price and the current volume density functions, simultaneously, and derive its macroscopic high-frequency dynamics. As opposed…

Probability · Mathematics 2022-02-17 Dörte Kreher , Cassandra Milbradt

In this study, we analyze and compare the performance of state-of-the-art deep reinforcement learning algorithms for solving the supply chain inventory management problem. This complex sequential decision-making problem consists of…

Machine Learning · Computer Science 2025-01-07 Francesco Stranieri , Fabio Stella

Inventory management is a fundamental challenge in supply chain management. The challenge is compounded when the associated products have unpredictable demands. This study proposes an innovative optimization approach combining…

Optimization and Control · Mathematics 2024-02-20 Sarit Maitra

Recently proposed generative models for discrete data, such as Masked Diffusion Models (MDMs), exploit conditional independence approximations to reduce the computational cost of popular Auto-Regressive Models (ARMs), at the price of some…

Machine Learning · Statistics 2025-12-18 Hugo Lavenant , Giacomo Zanella

The distribution of price returns for a class of uncorrelated diffusive dynamics is considered. The basic assumptions are (1) that there is a "consensus" value associated with a stock, and (2) that the rate of diffusion depends on the…

Other Condensed Matter · Physics 2008-12-02 A. L. Alejandro-Quinones , K. E. Bassler , M. Field , J. L. McCauley , M. Nicol , I. Timofeyef , A. Torok , G. H. Gunaratne

We derive a continuous time model for the joint evolution of the mid price and the bid-ask spread from a multiscale analysis of the whole limit order book (LOB) dynamics. We model the LOB as a multiclass queueing system and perform our…

Trading and Market Microstructure · Quantitative Finance 2013-10-07 Jose Blanchet , Xinyun Chen

Weighted empirical risk minimization is a common approach to prediction under distribution drift. This article studies its out-of-sample prediction error under nonstationarity. We provide a general decomposition of the excess risk into a…

Machine Learning · Statistics 2026-05-19 Tobias Brock , Thomas Nagler