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We consider a service system with two Poisson arrival queues. A server chooses which queue to serve at each moment. Once a queue is served, all the customers will be served within a fixed amount of time. This model is useful in studying…

最优化与控制 · 数学 2013-07-02 Yuhang Liu , Zizhuo Wang

We consider the problem of scheduling a queueing system in which many statistically identical servers cater to several classes of impatient customers. Service times and impatience clocks are exponential while arrival processes are renewal.…

概率论 · 数学 2007-05-23 Rami Atar , Avi Mandelbaum , Martin I. Reiman

We consider a strategic game, where players submit jobs to a machine that executes all jobs in a way that minimizes energy while respecting the given deadlines. The energy consumption is then charged to the players in some way. Each player…

计算机科学与博弈论 · 计算机科学 2017-07-11 Christoph Dürr , Łukasz Jeż , Óscar C. Vásquez

We consider a service system where agents (or, servers) are invited on-demand. Customers arrive as a Poisson process and join a customer queue. Customer service times are i.i.d. exponential. Agents' behavior is random in two respects.…

概率论 · 数学 2016-09-09 Lam Nguyen , Alexander Stolyar

A simple analytical solution is proposed for the stationary loss system of two parallel queues with finite capacity $K$, in which new customers join the shortest queue, or one of the two with equal probability if their lengths are equal.…

概率论 · 数学 2017-12-13 Plinio S. Dester , Christine Fricker , Danielle Tibi

We consider the problem of locating a facility to serve a set of agents located along a line. The Nash welfare objective function, defined as the product of the agents' utilities, is known to provide a compromise between fairness and…

计算机科学与博弈论 · 计算机科学 2023-10-09 Alexander Lam , Haris Aziz , Toby Walsh

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…

计算机科学与博弈论 · 计算机科学 2016-11-29 Robert Bredereck , Jiehua Chen , Rolf Niedermeier , Svetlana Obraztsova , Nimrod Talmon

Continually arriving information is communicated through a network of $n$ agents, with the value of information to the $j$'th recipient being a decreasing function of $j/n$, and communication costs paid by recipient. Regardless of details…

概率论 · 数学 2010-05-27 David J. Aldous

We consider a queueing system consisting of two non-identical exponential servers, where each server has its own dedicated queue and serves the customers in that queue FCFS. Customers arrive according to a Poisson process and join the queue…

This paper considers a wireless link with randomly arriving data that is queued and served over a time-varying channel. It is known that any algorithm that comes within $\epsilon$ of the minimum average power required for queue stability…

最优化与控制 · 数学 2014-11-19 Michael J. Neely

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…

概率论 · 数学 2021-06-30 Vyacheslav M. Abramov

Flows over time are a natural way to incorporate flow dynamics that arise in various applications such as traffic networks. In this paper we introduce a natural variant of the deterministic fluid queuing model in which users aim to minimize…

计算机科学与博弈论 · 计算机科学 2021-11-17 Tim Oosterwijk , Daniel Schmand , Marc Schröder

Motivated by the operational problems in click and collect systems, such as curbside pickup programs, we study a joint admission control and capacity allocation problem. We consider a system where arriving customers have preferred service…

最优化与控制 · 数学 2022-03-04 Melis Boran , Bahar Cavdar , Tugce Isik

In this thesis, we study the optimal tradeoff of average delay, average service cost, and average utility for single server queueing models, with and without admission control. The continuous time and discrete time queueing models that we…

性能 · 计算机科学 2015-03-24 Vineeth Bala Sukumaran

This article deals with asynchronous server vacation and customer retrial facility in a multi-server queueing-inventory system. The Poisson process governs the arrival of a customer. The system is comprised of c identical servers, a…

最优化与控制 · 数学 2023-07-31 K. Jeganathan , T. Harikrishnan , K. Prasanna Lakshmi , D. Nagarajan

This paper investigates the efficiency loss in social cost caused by strategic bidding behavior of individual participants in a supply-demand balancing market, and proposes a mechanism to fully recover equilibrium social optimum via…

最优化与控制 · 数学 2021-06-22 Kaiying Lin , Beibei Wang , Pengcheng You

This paper studies an infinite buffer single server queueing model with exponentially distributed service times and negative arrivals. The ordinary (positive) customers arrive in batches of random size according to renewal arrival process,…

概率论 · 数学 2023-01-13 U. C. Gupta , Nitin Kumar , F. P. Barbhuiya

A special customer must complete service from two servers in series, in either order, each with an M/M/1 queueing system. It is assumed that the two queueing system lengths are independent with initial numbers of customers a and b at the…

概率论 · 数学 2011-08-05 Samantha Molinaro , Myron Hlynka , Shan Xu

In load balancing problems there is a set of clients, each wishing to select a resource from a set of permissible ones, in order to execute a certain task. Each resource has a latency function, which depends on its workload, and a client's…

计算机科学与博弈论 · 计算机科学 2021-05-06 Vittorio Bilò , Gianpiero Monaco , Luca Moscardelli , Cosimo Vinci

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…

概率论 · 数学 2015-10-27 Guodong Pang , Alexander L. Stolyar