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This paper considers a particular renewal-reward process with multivariate discounted rewards (inputs) where the arrival epochs are adjusted by adding some random delays. Then this accumulated reward can be regarded as multivariate…

Probability · Mathematics 2018-03-05 Landy Rabehasaina , Jae-Kyung Woo

A popular technique for selecting and tuning machine learning estimators is cross-validation. Cross-validation evaluates overall model fit, usually in terms of predictive accuracy. In causal inference, the optimal choice of estimator…

Methodology · Statistics 2021-07-07 Dominik Rothenhäusler

In this paper we investigate a dynamic pricing model for constant demand elasticity where customers have a probability distribution on the number of items they order. This is a generalization from standard models which restrict customers to…

Optimization and Control · Mathematics 2018-03-01 Nyles Breecher , Richard Stockbridge

We consider the revenue maximization problem for an online retailer who plans to display in order a set of products differing in their prices and qualities. Consumers have attention spans, i.e., the maximum number of products they are…

Machine Learning · Computer Science 2025-11-11 Ningyuan Chen , Anran Li , Shuoguang Yang

Motivated by applications of the Erlang-B blocking model and the extended $M/M/k/k+N$ model that allows for some queueing, beyond communication networks to sizing and pricing in production, messaging, and app-based parking systems, we study…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Saghar Adler , Mehrdad Moharrami , Vijay Subramanian

We consider a service system where agents are invited on-demand. Customers arrive exogenously as a Poisson process and join a customer queue upon arrival if no agent is available. Agents decide to accept or decline invitations after some…

Probability · Mathematics 2015-10-27 Guodong Pang , Alexander L. Stolyar

We consider a game of decentralized timing of jobs to a single server (machine) with a penalty for deviation from a due date, and no delay costs. The jobs' sizes are homogeneous and deterministic. Each job belongs to a single decision…

Computer Science and Game Theory · Computer Science 2017-10-17 Amihai Glazer , Refael Hassin , Liron Ravner

It can be profitable for vehicle service providers to set service prices based on users' travel demand on different origin-destination pairs. The prior studies on the spatial pricing of vehicle service rely on the assumption that providers…

Computer Science and Game Theory · Computer Science 2020-07-08 Haoran Yu , Ermin Wei , Randall A. Berry

We study a multi-objective model on the allocation of reusable resources under model uncertainty. Heterogeneous customers arrive sequentially according to a latent stochastic process, request for certain amounts of resources, and occupy…

Optimization and Control · Mathematics 2023-08-02 Xilin Zhang , Wang Chi Cheung

We consider a novel pricing and advertising framework, where a seller not only sets product price but also designs flexible 'advertising schemes' to influence customers' valuation of the product. We impose no structural restriction on the…

Computer Science and Game Theory · Computer Science 2024-12-12 Shipra Agrawal , Yiding Feng , Wei Tang

We consider Bayesian online static parameter estimation for state-space models. This is a very important problem, but is very computationally challenging as the state- of-the art methods that are exact, often have a computational cost that…

Computation · Statistics 2015-03-03 Yan Zhou , Ajay Jasra

We study dynamic joint assortment and pricing where a seller updates decisions at regular accounting/operating intervals to maximize the cumulative per-period revenue over a horizon $T$. In many settings, assortment and prices affect not…

Machine Learning · Statistics 2026-02-20 Junhui Cai , Ran Chen , Qitao Huang , Linda Zhao , Wu Zhu

We study the problem of designing posted-price mechanisms in order to sell a single unit of a single item within a finite period of time. Motivated by real-world problems, such as, e.g., long-term rental of rooms and apartments, we assume…

Computer Science and Game Theory · Computer Science 2020-12-11 Giulia Romano , Gianluca Tartaglia , Alberto Marchesi , Nicola Gatti

We consider the problem of dynamic pricing of a product in the presence of feature-dependent price sensitivity. Developing practical algorithms that can estimate price elasticities robustly, especially when information about no purchases…

Machine Learning · Statistics 2022-12-21 Ravi Kumar , Shahin Boluki , Karl Isler , Jonas Rauch , Darius Walczak

We consider a Markovian many server queueing system in which customers are preemptively scheduled according to exogenously assigned priority levels. The priority levels are randomly assigned from a continuous probability measure rather than…

Performance · Computer Science 2017-01-06 Neal Master , Zhengyuan Zhou , Nicholas Bambos

In network quality of service provisioning, premium services generally require to keep a very small loss probability, which is infeasible to measure directly. The proposed virtual queue scheme estimates the small packet loss probability of…

Networking and Internet Architecture · Computer Science 2010-06-28 Guoqiang Hu , Yuming Jiang , Anne Nevin

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

In continuous-choice settings, consumers decide not only on whether to purchase a product, but also on how much to purchase. Thus, firms optimize a full price schedule rather than a single price point. This paper provides a methodology to…

General Economics · Economics 2024-08-13 Soheil Ghili , Russ Yoon

We propose a model selection approach for covariance estimation of a multi-dimensional stochastic process. Under very general assumptions, observing i.i.d replications of the process at fixed observation points, we construct an estimator of…

Statistics Theory · Mathematics 2009-09-29 Jérémie Bigot , Rolando Biscay , Jean-Michel Loubes , Lilian Muniz Alvarez

We consider a fundamental pricing model in which a fixed number of units of a reusable resource are used to serve customers. Customers arrive to the system according to a stochastic process and upon arrival decide whether or not to purchase…

Data Structures and Algorithms · Computer Science 2020-02-12 Omar Besbes , Adam N. Elmachtoub , Yunjie Sun