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We initiate the study of the Careless Coupon Collector's Problem (CCCP), a novel variation of the classical coupon collector, that we envision as a model for information systems such as web crawlers, dynamic caches, and fault-resilient…

Discrete Mathematics · Computer Science 2026-02-25 Emilio Cruciani , Aditi Dudeja

Online Resource Allocation addresses the problem of efficiently allocating limited resources to buyers with incomplete knowledge of future requests. In our setting, buyers arrive sequentially requesting a set of items, each with a value…

Computer Science and Game Theory · Computer Science 2026-02-11 Dimitris Fotakis , Charalampos Platanos , Thanos Tolias

Motivated by the dynamic assortment offerings and item pricings occurring in e-commerce, we study a general problem of allocating finite inventories to heterogeneous customers arriving sequentially. We analyze this problem under the…

Data Structures and Algorithms · Computer Science 2019-05-14 Will Ma , David Simchi-Levi

This paper presents a novel approach to predicting buying intent and product demand in e-commerce settings, leveraging a Deep Q-Network (DQN) inspired architecture. In the rapidly evolving landscape of online retail, accurate prediction of…

Machine Learning · Computer Science 2025-06-24 Aditi Madhusudan Jain

Online knapsack problem is considered, where items arrive in a sequential fashion that have two attributes; value and weight. Each arriving item has to be accepted or rejected on its arrival irrevocably. The objective is to maximize the sum…

Data Structures and Algorithms · Computer Science 2017-11-30 Rahul Vaze

We consider a practically motivated variant of the canonical online fair allocation problem: a decision-maker has a budget of perishable resources to allocate over a fixed number of rounds. Each round sees a random number of arrivals, and…

Optimization and Control · Mathematics 2026-04-03 Siddhartha Banerjee , Chamsi Hssaine , Sean R. Sinclair

For e-commerce platforms such as Taobao and Amazon, advertisers play an important role in the entire digital ecosystem: their behaviors explicitly influence users' browsing and shopping experience; more importantly, advertiser's expenditure…

Social and Information Networks · Computer Science 2020-09-01 Liyi Guo , Rui Lu , Haoqi Zhang , Junqi Jin , Zhenzhe Zheng , Fan Wu , Jin Li , Haiyang Xu , Han Li , Wenkai Lu , Jian Xu , Kun Gai

To approximate the trajectories of a stochastic process by the solution of some differential equation is widely used in the fields of probability, computer science and combinatorics. In this paper, the convergence of coupon collecting…

Probability · Mathematics 2019-12-06 Anshui Li , Yong Chen

Recommender systems have been actively and extensively studied over past decades. In the meanwhile, the boom of Big Data is driving fundamental changes in the development of recommender systems. In this paper, we propose a dynamic…

Information Retrieval · Computer Science 2017-03-13 Shuai Zhang , Lina Yao

The dispersion problem has been widely studied in computational geometry and facility location, and is closely related to the packing problem. The goal is to locate n points (e.g., facilities or persons) in a k-dimensional polytope, so that…

Computational Geometry · Computer Science 2017-04-25 Jing Chen , Bo Li , Yingkai Li

Motivated by cloud computing applications, we study the problem of how to optimally deploy new hardware subject to both power and robustness constraints. To model the situation observed in large-scale data centers, we introduce the Online…

Data Structures and Algorithms · Computer Science 2022-09-05 Konstantina Mellou , Marco Molinaro , Rudy Zhou

Coupon allocation drives customer purchases and boosts revenue. However, it presents a fundamental trade-off between exploiting the current optimal policy to maximize immediate revenue and exploring alternative policies to collect data for…

Machine Learning · Computer Science 2024-09-10 Naoki Nishimura , Ken Kobayashi , Kazuhide Nakata

We study a general problem of allocating limited resources to heterogeneous customers over time under model uncertainty. Each type of customer can be serviced using different actions, each of which stochastically consumes some combination…

Artificial Intelligence · Computer Science 2021-08-31 Wang Chi Cheung , Will Ma , David Simchi-Levi , Xinshang Wang

We consider an online resource allocation problem where multiple resources, each with an individual initial capacity, are available to serve random requests arriving sequentially over multiple discrete time periods. At each time period, one…

Optimization and Control · Mathematics 2020-12-21 Jiashuo Jiang , Jiawei Zhang

We investigate the distributed online economic dispatch problem for power systems with time-varying coupled inequality constraints. The problem is formulated as a distributed online optimization problem in a multi-agent system. At each time…

Optimization and Control · Mathematics 2025-12-25 Yingjie Zhou , Xiaoqian Wang , Tao Li

Online allocation problems with resource constraints have a rich history in operations research. In this paper, we introduce the \emph{regularized online allocation problem}, a variant that includes a non-linear regularizer acting on the…

Optimization and Control · Mathematics 2021-11-08 Santiago Balseiro , Haihao Lu , Vahab Mirrokni

Many businesses possess a small infrastructure that they can use for their computing tasks, but also often buy extra computing resources from clouds. Cloud vendors such as Amazon EC2 offer two types of purchase options: on-demand and spot…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-13 Xiaohu Wu , Patrick Loiseau , Esa Hyytia

We consider the problem of power allocation over a time-varying channel with unknown distribution in energy harvesting communication systems. In this problem, the transmitter has to choose the transmit power based on the amount of stored…

Machine Learning · Computer Science 2016-08-29 Pranav Sakulkar , Bhaskar Krishnamachari

Recommender systems take inputs from user history, use an internal ranking algorithm to generate results and possibly optimize this ranking based on feedback. However, often the recommender system is unaware of the actual intent of the user…

Information Retrieval · Computer Science 2017-11-30 Biswarup Bhattacharya , Iftikhar Burhanuddin , Abhilasha Sancheti , Kushal Satya

Creating a loyal customer base is one of the most important, and at the same time, most difficult tasks a company faces. Creating loyalty online (e-loyalty) is especially difficult since customers can ``switch'' to a competitor with the…

Applications · Statistics 2010-10-11 Wolfgang Jank , Inbal Yahav