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Selling reserved instances (or virtual machines) is a basic service in cloud computing. In this paper, we consider a more flexible pricing model for instance reservation, in which a customer can propose the time length and number of…

计算机科学与博弈论 · 计算机科学 2016-11-23 Jia Zhang , Weidong Ma , Tao Qin , Xiaoming Sun , Tie-Yan Liu

Recent studies indicate that in many situations service times are affected by the experienced queueing delay of the particular customer. This effect has been detected in different areas, such as health care, call centers and…

概率论 · 数学 2025-04-25 Bernardo D'Auria , Ivo J. B. F. Adan , René Bekker , Vidyadhar Kulkarni

We provide the first algorithm that under minimal assumptions allows to simulate the stationary waiting-time sequence of a single-server queue backwards in time, jointly with the input processes of the queue (inter-arrival and service…

概率论 · 数学 2015-01-22 Jose Blanchet , Aya Wallwater

Network capacity region of multi-queue multi-server queueing system with random ON-OFF connectivities and stationary arrival processes is derived in this paper. Specifically, the necessary and sufficient conditions for the stability of the…

信息论 · 计算机科学 2010-01-14 Hassan Halabian , Ioannis Lambadaris , Chung-Horng Lung

We consider a single server system with infinite waiting room in a random environment. The service system and the environment interact in both directions. Whenever the environment enters a prespecified subset of its state space the service…

概率论 · 数学 2013-12-03 Ruslan Krenzler , Hans Daduna

Several systems possess the flexibility to serve requests in more than one way. For instance, a distributed storage system storing multiple replicas of the data can serve a request from any of the multiple servers that store the requested…

网络与互联网体系结构 · 计算机科学 2013-11-13 Nihar B. Shah , Kangwook Lee , Kannan Ramchandran

We model a long queue of humans by a continuous-space model in which, when a customer moves forward, they stop a random distance behind the previous customer, but do not move at all if their distance behind the previous customer is below a…

概率论 · 数学 2015-11-18 David Aldous

We study a generalization of the $M/G/1$ system (denoted by $rM/G/1$) with independent and identically distributed (iid) service times and with an arrival process whose arrival rate $\lambda_0f(r)$ depends on the remaining service time $r$…

概率论 · 数学 2017-10-05 Benjamin Legros , Ali Devin Sezer

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…

概率论 · 数学 2014-04-21 Jinho Baik , Raj Rao Nadakuditi

We consider the single server queue with service in random order. For a large class of heavy-tailed service time distributions, we determine the asymptotic behavior of the waiting time distribution. For the special case of Poisson arrivals…

We consider queueing models, where customers arrive according to a continuous-time binomial process on a finite interval. In this arrival process, a total of $K$ customers arrive in the finite time interval $[0,T]$, where arrival times of…

概率论 · 数学 2024-12-10 Kaito Hayashi , Yoshiaki Inoue , Tetsuya Takine

The subject of this paper is the problem of estimating service time distribution of the $M/G/\infty$ queue from incomplete data on the queue. The goal is to estimate $G$ from observations of the queue--length process at the points of the…

统计理论 · 数学 2015-08-04 A. Goldenshluger

Multiserver jobs, which are jobs that occupy multiple servers simultaneously during service, are prevalent in today's computing clusters. But little is known about the delay performance of systems with multiserver jobs. We consider queueing…

性能 · 计算机科学 2023-04-17 Yige Hong , Weina Wang

We consider the $M/M/1$ queue with processor sharing. We study the conditional sojourn time distribution, conditioned on the customer's service requirement, in various asymptotic limits. These include large time and/or large service…

经典分析与常微分方程 · 数学 2013-09-13 Qiang Zhen , Charles Knessl

A $M/M/1$ queue with catastrophes is a modified $M/M/1$ queue model for which, according to the times of a Poisson process, catastrophes occur leaving the system empty. In this work, we study a fractional $M/M/1$ queue with catastrophes,…

概率论 · 数学 2021-07-13 Matheus de Oliveira Souza , Pablo Martin Rodriguez

Due to the stochastic nature of departure operations, working at full capacity makes major US airports very sensitive to uncertainties. Consequently, airport ground operations face critically congested taxiways and long runway queues. In…

其他计算机科学 · 计算机科学 2008-07-08 Pierrick Burgain , Eric Feron , John-Paul Clarke

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

We consider an M/G/1 queue in which the customers, while waiting in line, may renege from it. We study the Nash equilibrium profile among customers, and show that it is defined by two sequences of thresholds. For each customer, the decision…

概率论 · 数学 2017-08-22 Eliran Sherzer , Yoav Kerner

We consider the problem of customer equilibrium strategies in an M/M/1 queue under dynamic service control. The service rate switches between a low and a high value depending on system congestion. Arriving customers do not observe the…

最优化与控制 · 数学 2011-12-07 Y. Dimitrakopoulos , A. Burnetas

In recent years the Cache-Oblivious model of external memory computation has provided an attractive theoretical basis for the analysis of algorithms on massive datasets. Much progress has been made in discovering algorithms that are…

数据结构与算法 · 计算机科学 2008-02-08 Benjamin Sach , Raphaël Clifford