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We study optimal fidelity selection for a human operator servicing a queue of homogeneous tasks. The agent can service a task with a normal or high fidelity level, where fidelity refers to the degree of exactness and precision while…

Human-Computer Interaction · Computer Science 2023-10-10 Piyush Gupta , Vaibhav Srivastava

This study investigates differential games with motion-payoff uncertainty in continuous-time settings. We propose a framework where players update their beliefs about uncertain parameters using continuous Bayesian updating. Theoretical…

Multiagent Systems · Computer Science 2025-09-16 Jiangjing Zhou , Ovanes Petrosian , Ye Zhang , Hongwei Gao

This paper studies a spatial competition game between two firms that sell a homogeneous good at some pre-determined fixed price. A population of consumers is spread out over the real line, and the two firms simultaneously choose location in…

Optimization and Control · Mathematics 2020-01-31 Gaëtan Fournier , Karine Van Der Straeten , Jörgen Weibull

We study a problem where wireless service providers compete for heterogenous wireless users. The users differ in their utility functions as well as in the perceived quality of service of individual providers. We model the interaction of an…

Information Theory · Computer Science 2010-07-08 Vojislav Gajić , Jianwei Huang , Bixio Rimoldi

In discrete time, customers arrive at random. Each waits until one of three servers is available; each thereafter departs at random. We seek the distribution of maximum line length of idle customers. Algebraic expressions obtained for the…

History and Overview · Mathematics 2022-08-30 Steven Finch

We consider a stochastic bipartite matching model consisting of multi-class customers and multi-class servers. Compatibility constraints between the customer and server classes are described by a bipartite graph. Each time slot, exactly one…

Probability · Mathematics 2022-01-12 Céline Comte , Jan-Pieter Dorsman

When an item goes out of stock, sales transaction data no longer reflect the original customer demand, since some customers leave with no purchase while others substitute alternative products for the one that was out of stock. Here we…

Applications · Statistics 2016-01-15 Benjamin Letham , Lydia M. Letham , Cynthia Rudin

We consider a long-term average profit maximizing admission control problem in an M/M/1 queuing system with unknown service and arrival rates. With a fixed reward collected upon service completion and a cost per unit of time enforced on…

Optimization and Control · Mathematics 2023-11-27 Asaf Cohen , Vijay G. Subramanian , Yili Zhang

We study a game between two firms in which each provide a service based on machine learning. The firms are presented with the opportunity to purchase a new corpus of data, which will allow them to potentially improve the quality of their…

Computer Science and Game Theory · Computer Science 2019-05-24 Jinshuo Dong , Hadi Elzayn , Shahin Jabbari , Michael Kearns , Zachary Schutzman

We propose a unified approach to establishing diffusion approximations for queues with impatient customers within a general framework of scaling customer patience time. The approach consists of two steps. The first step is to show that the…

Probability · Mathematics 2015-10-06 Junfei Huang , Hanqin Zhang , Jiheng Zhang

We investigate asynchronous distributed algorithms with delayed information for seeking generalized Nash equilibrium over multi-agent networks. The considered game model has all players' local decisions coupled with a shared affine…

Optimization and Control · Mathematics 2018-07-26 Peng Yi , Lacra Pavel

Traffic to any server is rarely constant over time. In addition, the workload brought by each service request is typically unknown in advance, and each request may bring a different workload to the server. Cha and Lee (2011) proposed a…

Probability · Mathematics 2015-11-16 Rachel Traylor

We consider a dynamic model of traffic that has received a lot of attention in the past few years. Infinitesimally small agents aim to travel from a source to a destination as quickly as possible. Flow patterns vary over time, and…

Computer Science and Game Theory · Computer Science 2024-02-08 Neil Olver , Leon Sering , Laura Vargas Koch

Consider an important meeting to be held in a team-based organization. Taking availability constraints into account, an online scheduling poll is being used in order to decide upon the exact time of the meeting. Decisions are to be taken…

Computer Science and Game Theory · Computer Science 2016-11-29 Robert Bredereck , Jiehua Chen , Rolf Niedermeier , Svetlana Obraztsova , Nimrod Talmon

We establish sufficient conditions for the existence of moments of the steady-state queue in polling systems operating under the binomial-exhaustive policy (BEP). We assume that the server switches between the different buffers according to…

Probability · Mathematics 2020-09-10 Yue Hu , Jing Dong , Ohad Perry

Auctions are modeled as Bayesian games with continuous type and action spaces. Determining equilibria in auction games is computationally hard in general and no exact solution theory is known. We introduce an algorithmic framework in which…

Computer Science and Game Theory · Computer Science 2023-05-10 Martin Bichler , Maximilian Fichtl , Matthias Oberlechner

Service system dynamics occur at the interplay between customer behaviour and a service provider's response. This kind of dynamics can effectively be modeled within the framework of queuing theory where customers' arrivals are described by…

Many settings, such as matching riders to drivers in ride-hailing platforms or in-stream video advertising, require handling arrivals over time. In such applications, it is often beneficial to group the arriving orders or requests into…

Data Structures and Algorithms · Computer Science 2025-08-04 Akhil Bhimaraju , S. Rasoul Etesami , Lav R. Varshney

We analyze an M/M/1 queue with a service discipline in which customers, upon arriving when the server is busy, search a sequence of stations for a vacant station at which to wait, and in which the server, upon becoming free when one or more…

Probability · Mathematics 2011-08-29 Patrick Eschenfeldt , Ben Gross , Nicholas Pippenger

We develop a model for pricing, lead-time quotation and delay compensation in a Markovian make-to-order production or service system with strategic customers who exhibit risk aversion. Based on a concave utility function of their net…

Optimization and Control · Mathematics 2019-11-07 Myron Benioudakis , Apostolos Burnetas , George Ioannou
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