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相关论文: Performance analysis of polling systems with retri…

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We study a vacation-type queueing model, and a single-server multi-queue polling model, with the special feature of retrials. Just before the server arrives at a station there is some deterministic glue period. Customers (both new arrivals…

概率论 · 数学 2016-02-03 Murtuza Ali Abidini , Onno Boxma , Jacques Resing

We present a heavy traffic analysis of a single-server polling model, with the special features of retrials and glue periods. The combination of these features in a polling model typically occurs in certain optical networking models, and in…

概率论 · 数学 2017-07-14 Murtuza Ali Abidini , Jan-Pieter Dorsman , Jacques Resing

In this paper we consider a single-server cyclic polling system. Between visits to successive queues, the server is delayed by a random switch-over time. The order in which customers are served in each queue is determined by a priority…

概率论 · 数学 2014-08-05 Marko Boon , Ivo Adan , Onno Boxma

In this paper we consider a single-server, cyclic polling system with switch-over times and Poisson arrivals. The service disciplines that are discussed, are exhaustive and gated service. The novel contribution of the present paper is that…

概率论 · 数学 2014-08-04 Marko Boon

In this paper we consider a single-server cyclic polling system consisting of two queues. Between visits to successive queues, the server is delayed by a random switch-over time. Two types of customers arrive at the first queue: high and…

概率论 · 数学 2014-08-04 Marko Boon , Ivo Adan , Onno Boxma

In this paper, we analyze a polling system on a circle with. Random batches of customers arrive at a circle, where each customer, independently, obtains a location according to a general distribution. A single server cyclically travels over…

概率论 · 数学 2025-03-07 Tim Engels , Ivo Adan , Onno Boxma , Jacques Resing

In this paper we consider a single-server polling system with switch-over times. We introduce a new service discipline, mixed gated/exhaustive service, that can be used for queues with two types of customers: high and low priority…

概率论 · 数学 2014-08-04 Marko Boon , Ivo Adan

Queueing systems with a single server in which customers wait to be served at a finite number of distinct locations (buffers/queues) are called discrete polling systems. Polling systems in which arrivals of users occur anywhere in a…

性能 · 计算机科学 2013-09-09 Veeraruna Kavitha , Richard Combes

In this paper we consider a single-server, cyclic polling system with switch-over times. A distinguishing feature of the model is that the rates of the Poisson arrival processes at the various queues depend on the server location. For this…

概率论 · 数学 2014-08-04 Marko Boon , Sandra van Wijk , Ivo Adan , Onno Boxma

We introduce a novel single-server queue with general retrial times and event-dependent arrivals. This is a versatile model for the study of service systems, in which the server needs a non-negligible time to retrieve waiting customers upon…

概率论 · 数学 2022-03-08 Ioannis Dimitriou

We consider a single-server cyclic polling system with three queues where the server follows an adaptive rule: if it finds one of queues empty in a given cycle, it decides not to visit that queue in the next cycle. In the case of limited…

概率论 · 数学 2013-03-20 Natalia Chernova , Sergey Foss , Bara Kim

Polling systems have been widely studied, however most of these studies focus on polling systems with renewal processes for arrivals and random variables for service times. There is a need driven by practical applications to study polling…

性能 · 计算机科学 2020-08-04 Jin Xu , Natarajan Gautam

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 cyclic polling system with general service times, general switch-over times, and simultaneous batch arrivals. This means that at an arrival epoch, a batch of customers may arrive simultaneously at the different queues of the…

概率论 · 数学 2016-07-13 J. P. van der Gaast , M. B. M. de Koster , I. J. B. F. Adan

A typical polling system consists of a number of queues, attended by a single server in a fixed order. The vast majority of papers on polling systems focusses on Poisson arrivals, whereas very few results are available for general arrivals.…

概率论 · 数学 2014-08-04 Marko Boon , Erik Winands , Ivo Adan , Sandra van Wijk

In this paper, we analyse a single server polling model with two queues. Customers arrive at the two queues according to two independent Poisson processes. There is a single server that serves both queues with generally distributed service…

In this paper, we analyze a polling system on a circle. Random batches of customers arrive at a circle, where each customer, independently, obtains a uniform location. A single server cyclically travels over the circle to serve all…

概率论 · 数学 2025-03-07 Tim Engels , Ivo Adan , Onno Boxma , Jacques Resing

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

Recommender systems aim to fulfill the user's daily demands. While most existing research focuses on maximizing the user's engagement with the system, it has recently been pointed out that how frequently the users come back for the service…

信息检索 · 计算机科学 2024-06-11 Ziru Liu , Shuchang Liu , Bin Yang , Zhenghai Xue , Qingpeng Cai , Xiangyu Zhao , Zijian Zhang , Lantao Hu , Han Li , Peng Jiang

We calculate asymptotics of the distribution of the number of customers in orbit in a two-class priority retrial $M/G/1$-type queueing model. In this model, priority customers wait in line while non-priority customers join an orbit and…

概率论 · 数学 2018-01-23 Joris Walraevens , Dieter Claeys , Tuan Phung-Duc
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