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相关论文: Steady-State Analysis and Online Learning for Queu…

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We develop a robust queueing network analyzer algorithm to approximate the steady-state performance of a single-class open queueing network of single-server queues with Markovian routing. The algorithm allows non-renewal external arrival…

概率论 · 数学 2020-03-26 Ward Whitt , Wei You

This paper studies the limiting behavior of a closed queueing network with multiple single-server and infinite-server stations. Under a heavy traffic asymptotic regime$\unicode{x2014}$where the number of jobs and single-server service rates…

概率论 · 数学 2026-03-13 Amir A. Alwan , Barış Ata

In this paper we analyze a single server queue with batch arrivals and semi-Markovian service times. We also include the feature that the first service of each busy period might have a different distribution than subsequent service times.…

概率论 · 数学 2018-12-07 Abhishek , Rudesindo Núñez Queija , Marko Boon

We address a single server queue control problem (QCP) in heavy traffic originating from Lee and Weerasinghe (2011). The state process represents the offered waiting time, the customer arrival has a state-dependent intensity, and the…

最优化与控制 · 数学 2025-07-18 Bowen Xie , Haoyu Yin

In this research a continuous model for resource allocations in a queuing system is considered and a local prediction on the system behavior is developed. As a result we obtain a set of possible cases, some of which lead to quite clear…

最优化与控制 · 数学 2022-09-13 Tikhon Bogachev

Randomized load balancing networks arise in a variety of applications, and allow for efficient sharing of resources, while being relatively easy to implement. We consider a network of parallel queues in which incoming jobs with independent…

概率论 · 数学 2017-10-13 Reza Aghajani , Kavita Ramanan

We study infinite-server queues in which the arrival process is a Cox process (or doubly stochastic Poisson process), of which the arrival rate is given by shot noise. A shot-noise rate emerges as a natural model, if the arrival rate tends…

概率论 · 数学 2017-03-21 David Koops , Michel Mandjes , Onno Boxma

We consider a stochastic, dynamic runway scheduling problem involving aircraft landings on a single runway. Sequencing decisions are made with knowledge of the estimated arrival times (ETAs) of all aircraft due to arrive at the airport, and…

最优化与控制 · 数学 2022-11-16 Rob Shone , Kevin Glazebrook , Konstantinos G. Zografos

This paper studies a scheduling control problem for a single-server multiclass queueing network in heavy traffic, operating in a changing environment. The changing environment is modeled as a finite state Markov process that modulates the…

概率论 · 数学 2012-11-30 Amarjit Budhiraja , Arka Ghosh , Xin Liu

Performance analysis of queueing networks is one of the most challenging areas of queueing theory. Barring very specialized models such as product-form type queueing networks, there exist very few results which provide provable…

最优化与控制 · 数学 2010-09-22 Dimitris Bertsimas , David Gamarnik , Alexander Rikun

The Hawkes process is a model for counting the number of arrivals to a system which exhibits the self-exciting property - that one arrival creates a heightened chance of further arrivals in the near future. The model, and its…

统计方法学 · 统计学 2024-05-20 Patrick J. Laub , Young Lee , Philip K. Pollett , Thomas Taimre

A queue is required when a service provider is not able to handle jobs arriving over the time. In a highly flexible and dynamic environment, some jobs might demand for faster execution at run-time especially when the resources are limited…

性能 · 计算机科学 2015-03-24 Yash Gupta , Kamalakar Karlapalem

We consider a discrete-time system comprising a first-come-first-served queue, a non-preemptive server, and a stationary non-work-conserving scheduler. New tasks enter the queue according to a Bernoulli process with a pre-specified arrival…

应用统计 · 统计学 2020-08-05 Michael Lin , Nuno C. Martins , Richard J. La

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

Queueing networks are notoriously difficult to analyze sans both Markovian and stationarity assumptions. Much of the theoretical contribution towards performance analysis of time-inhomogeneous single class queueing networks has focused on…

概率论 · 数学 2017-08-22 Harsha Honnappa , Rahul Jain

This paper examines a continuous-time routing system with general interarrival and service time distributions, operating under the join-the-shortest-queue and power-of-two-choices policies. Under a weaker set of assumptions than those…

概率论 · 数学 2025-03-28 Jin Guang , Yaosheng Xu , J. G. Dai

This paper concerns the recurrence structure of the infinite server queue, as viewed through the prism of the maximum dater sequence, namely the time to drain the current work in the system as seen at arrival epochs. Despite the importance…

概率论 · 数学 2026-01-12 Sergey Foss , Peter Glynn

Overlap times have been studied as a way of understanding the time of interaction between customers in a service facility. Most of the previous analysis relies on the single jump assumption for arrivals, which implies the queue increases by…

概率论 · 数学 2023-02-16 Sergio D Palomo , Jamol Pender

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…

数据结构与算法 · 计算机科学 2025-08-04 Akhil Bhimaraju , S. Rasoul Etesami , Lav R. Varshney

Tandem queueing networks are widely used to model systems where services are provided in sequential stages. In this study, we assume that each station in the tandem system operates under a general renewal process. Additionally, we assume…

概率论 · 数学 2024-11-13 Eliran Sherzer