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We study many-server queues with abandonment in which customers have general service and patience time distributions. The dynamics of the system are modeled using measure- valued processes, to keep track of the residual service and patience…

概率论 · 数学 2013-08-27 Jiheng Zhang

This paper studies multiclass loss systems with two layers of servers, where each server at the first layer is dedicated to a certain customer class, while the servers at the second layer can handle all customer classes. The routing of…

概率论 · 数学 2008-02-15 Matthieu Jonckheere , Lasse Leskela

In this paper, we study and analyze fundamental throughput and delay tradeoffs in cooperative multiple access for cognitive radio systems. We focus on the class of randomized cooperative policies, whereby the secondary user (SU) serves…

网络与互联网体系结构 · 计算机科学 2014-04-25 Mahmoud Ashour , Amr A. El-Sherif , Tamer ElBatt , Amr Mohamed

We consider a single server queueing system with two classes of jobs: eager jobs with small sizes that require service to begin almost immediately upon arrival, and tolerant jobs with larger sizes that can wait for service. While blocking…

性能 · 计算机科学 2021-12-24 Kiran Chaudhary , Veeraruna Kavitha , Jayakrishnan Nair

In this paper we consider an M/G/1-type queue fed by a finite customer-pool. In terms of transforms, we characterize the time-dependent distribution of the number of customers and the workload, as well as the associated waiting times.

概率论 · 数学 2025-02-25 Onno Boxma , Offer Kella , Michel Mandjes

In recent years, there is a growing research about queueing models with customers who choose their service durations. In general, the model assumptions in the existing literature imply that every customer knows his service demand when he…

最优化与控制 · 数学 2022-01-19 Royi Jacobovic

Considering an M/M/1 queue with an additional lounge facility (LF), the quest of this paper is to understand the instances when LF is an attractive option, from customer perspective as well as from system perspective: will the customers…

最优化与控制 · 数学 2025-04-29 Riya Sultana , Khushboo Agarwal , Veeraruna Kavitha

We consider a model for transitory queues in which only a finite number of customers can join. The queue thus operates over a finite time horizon. In this system, also known as the $\Delta_{(i)}/G/1$ queue, the customers decide…

概率论 · 数学 2018-11-26 Gianmarco Bet

We consider a general queueing system with price-sensitive customers in which the service provider seeks to balance two objectives, maximizing the average revenue rate and minimizing the average queue length. Customers arrive according to a…

数据结构与算法 · 计算机科学 2025-12-09 Jacob Bergquist , Adam N. Elmachtoub

The paper studies a multiserver retrial queueing system with $m$ servers. Arrival process is a point process with strictly stationary and ergodic increments. A customer arriving to the system occupies one of the free servers. If upon…

概率论 · 数学 2021-07-01 Vyacheslav M. Abramov

We consider a multi-server queue in the Halfin-Whitt regime: as the number of servers $n$ grows without a bound, the utilization approaches 1 from below at the rate $\Theta(1/\sqrt{n})$. Assuming that the service time distribution is…

概率论 · 数学 2008-03-19 David Gamarnik , Petar Momcilovic

We analyze a tandem network of polling queues with two product types and two stations. We assume that external arrivals to the network follow a Poisson process, and service times at each station are exponentially distributed. For this…

性能 · 计算机科学 2021-05-25 Ravi Suman , Ananth Krishnamurthy

We consider the $\Delta_{(i)}/G/1$ queue, in which a a total of $n$ customers independently demand service after an exponential time. We focus on the case of heavy-tailed service times, and assume that the tail of the service time…

We consider strategic arrivals to a FCFS service system that starts service at a fixed time and has to serve a fixed number of customers, e.g., an airplane boarding system. Arriving early induces a higher waiting cost (waiting before…

计算机科学与博弈论 · 计算机科学 2018-08-14 Rajat Talak , D. Manjunath , Alexandre Proutiere

In discrete time, customers arrive at random. Each waits until one of two servers is available; each thereafter departs at random. We seek the distribution of maximum line length of idle customers. In the context of an emergency room (for…

历史与综述 · 数学 2019-02-26 Steven Finch

In many cognitive radio applications, there are multiple types of message queues. Existing queueing analysis works in underlay CR networks failed to discuss packets heterogeneity. Therefore high priority packets with impatient waiting time…

网络与互联网体系结构 · 计算机科学 2017-06-27 Long Chen , Liusheng Huang , Hongli Xu , Jie Hu

We study distributed load balancing in bipartite queueing systems where frontends route jobs to heterogeneous backends with workload-dependent service rates. The system's connectivity -- governed by compatibility constraints such as data…

分布式、并行与集群计算 · 计算机科学 2025-07-25 Wenxin Zhang , Santiago R. Balseiro , Robert Kleinberg , Vahab Mirrokni , Balasubramanian Sivan , Bartek Wydrowski

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 studies a spatial queueing system on a circle, polled at random locations by a myopic server that can only observe customers in a bounded neighborhood. The server operates according to a greedy policy, always serving the nearest…

概率论 · 数学 2012-08-14 Lasse Leskelä , Falk Unger

This paper proposes a stochastic framework to evaluate the performance of public transit systems under short random service suspensions. We aim to derive closed-form formulations of the mean and variance of the queue length and waiting…

概率论 · 数学 2023-01-04 Baichuan Mo , Li Jin , Haris N. Koutsopoulos , Zuo-Jun Max Shen , Jinhua Zhao