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We study atomic routing games where every agent travels both along its decided edges and through time. The agents arriving on an edge are first lined up in a \emph{first-in-first-out} queue and may wait: an edge is associated with a…

Computer Science and Game Theory · Computer Science 2017-09-28 Anisse Ismaili

We consider the problem of distributed load balancing in heterogenous parallel server systems, where the service rate achieved by a user at a server depends on both the user and the server. Such heterogeneity typically arises in wireless…

Computer Science and Game Theory · Computer Science 2014-12-09 Se-Young Yun , Alexandre Proutiere

Service platforms must determine rules for matching heterogeneous demand (customers) and supply (workers) that arrive randomly over time and may be lost if forced to wait too long for a match. Our objective is to maximize the cumulative…

Optimization and Control · Mathematics 2023-12-19 Angelos Aveklouris , Levi DeValve , Maximiliano Stock , Amy R. Ward

Given a network with a continuum of users at some origins, suppose that the users wish to reach specific destinations, but that they are not indifferent to the time needed to reach their destination. They may have several possibilities (of…

Computer Science and Game Theory · Computer Science 2008-10-15 Frédéric Meunier , Nicolas Wagner

In continuous time, customers arrive at random. Each waits until one of $c$ servers is available; each thereafter departs at random. The distribution of maximum line length of idle customers was studied over 25 years ago. We revisit two…

History and Overview · Mathematics 2019-04-09 Steven Finch

The interest to retrial queueing systems is due to their application to telephone systems. The paper studies multiserver retrial queueing systems with $n$ servers. Arrival process is a quite general point process. An arriving customer…

Probability · Mathematics 2021-06-30 Vyacheslav M. Abramov

We study a routing and appointment scheduling problem with uncertain service and travel times arising from home service practice. Specifically, given a set of customers within a service region that an operator needs to serve, we seek to…

Optimization and Control · Mathematics 2021-11-23 Man Yiu , Tsang , Karmel S. Shehadeh

We analyze the latency or sojourn time L(m,n) for the last customer in a batch of n customers to exit from the m-th queue in a tandem of m queues in the setting where the queues are in equilibrium before the batch of customers arrives at…

Probability · Mathematics 2014-04-21 Jinho Baik , Raj Rao Nadakuditi

The claim arrival process to an insurance company is modeled by a compound Poisson process whose intensity and/or jump size distribution changes at an unobservable time with a known distribution. It is in the insurance company's interest to…

Optimization and Control · Mathematics 2008-12-10 Erhan Bayraktar , H. Vincent Poor

Consider a distribution of citizens in an urban area in which some services (supermarkets, post offices...) are present. Each citizen, in order to use a service, spends an amount of time which is due both to the travel time to the service…

Optimization and Control · Mathematics 2008-11-13 Gianluca Crippa , Chloé Jimenez , Aldo Pratelli

We investigate Markovian queues that are examined by a controller at random times determined by a Poisson process. Upon examination, the controller sets the service speed to be equal to the minimum of the current number of customers in the…

Performance · Computer Science 2023-03-30 R. Núñez-Queija , B. J. Prabhu , J. A. C. Resing

An agent acquires information dynamically until her belief about a binary state reaches an upper or lower threshold. She can choose any signal process subject to a constraint on the rate of entropy reduction. Strategies are ordered by "time…

Theoretical Economics · Economics 2024-08-23 Daniel Chen , Weijie Zhong

We study learning dynamics induced by strategic agents who repeatedly play a game with an unknown payoff-relevant parameter. In this dynamics, a belief estimate of the parameter is repeatedly updated given players' strategies and realized…

Computer Science and Game Theory · Computer Science 2021-09-06 Manxi Wu , Saurabh Amin , Asuman Ozdaglar

We study the sojourn time in a queueing system with a single exponential server, serving a Poisson stream of customers in order of arrival. Service is provided at low or high rate, which can be adapted at exponential inspection times. When…

Probability · Mathematics 2015-11-05 Ivo Adan , Bernardo D'Auria

We consider non-cooperative facility location games where both facilities and clients act strategically and heavily influence each other. This contrasts established game-theoretic facility location models with non-strategic clients that…

Computer Science and Game Theory · Computer Science 2024-06-17 Simon Krogmann , Pascal Lenzner , Louise Molitor , Alexander Skopalik

Consider an M/M/1-type queue where joining attains a known reward, but a known waiting cost is paid per time unit spent queueing. In the 1960s, Naor showed that any arrival optimally joins the queue if its length is less than a known…

Computer Science and Game Theory · Computer Science 2025-03-18 Jake Clarkson , Konstantin Avrachenkov , Eitan Altman

A consumer who wants to consume a good in a particular period may nevertheless attempt to buy it earlier if he is concerned that in delaying he would find the good already sold. This paper considers a model in which the good may be offered…

General Economics · Economics 2023-04-05 Amihai Glazer , Refael Hassin , Irit Nowik

"Spillover" learning is defined as customers' learning about the quality of a service (or product) from their previous experiences with similar yet not identical services. In this paper, we propose a novel, parsimonious and general Bayesian…

Applications · Statistics 2016-07-21 Andrés Musalem , Yan Shang , Jing-Sheng Song

We consider the problem of scheduling appointments for a finite customer population to a service facility with customer no-shows, to minimize the sum of customer waiting time and server overtime costs. Since appointments need to be…

Optimization and Control · Mathematics 2017-08-22 Mor Armony , Rami Atar , Harsha Honnappa

We consider a stochastic, dynamic job scheduling problem, formulated as a queueing control problem, in which a single server processes jobs of different types that arrive according to independent Poisson processes. The problem is defined on…

Optimization and Control · Mathematics 2025-09-09 Dongnuan Tian , Rob Shone