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相关论文: Mixed Gated/Exhaustive Service in a Polling Model …

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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 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

We consider a two-queue polling model with switch-over times and $k$-limited service (serve at most $k_i$ customers during one visit period to queue $i$) in each queue. The major benefit of the $k$-limited service discipline is that it -…

概率论 · 数学 2016-03-07 Marko Boon , Erik Winands

In this paper, we deal with a two-queue polling system attended by a single server. The server visits the queues according to a Markovian routing mechnism. There are two-class customers in the first queue. Customers of each queue are served…

概率论 · 数学 2014-11-04 Yuqing Chu , Zaiming Liu , Jinbiao Wu

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

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

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 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…

We consider a polling system with two queues, exhaustive service, no switch-over times and exponential service times. The waiting cost depends on the position of the queue relative to the server: It costs a customer c per time unit to wait…

概率论 · 数学 2016-08-11 I. J. B. F. Adan , V. G. Kulkarni , N. Lee , A. A. J Lefeber

In the present paper we address two open problems concerning polling systems, viz., queueing systems consisting of multiple queues attended by a single server that visits the queues one at a time. The first open problem deals with a system…

概率论 · 数学 2014-08-04 Marko Boon , Onno Boxma , Erik Winands

We study a queueing network with a single shared server, that serves the queues in a cyclic order according to the gated service discipline. External customers arrive at the queues according to independent Poisson processes. After…

概率论 · 数学 2014-09-11 Marko Boon , Rob van der Mei , Erik Winands

Utilizing customers' service-time information, we study an easy-to-implement scheduling policy with two priority classes. By carefully designing the classes, the two-class priority rule achieves near-optimal performance. In particular, for…

最优化与控制 · 数学 2021-05-24 Yan Chen , Jing Dong

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

We consider a general polling model with $N$ stations. The stations are served exhaustively and in cyclic order. Once a station queue falls empty, the server does not immediately switch to the next station. Rather, it waits at the station…

概率论 · 数学 2010-09-01 Frank Aurzada , Sergej Beck , Michael Scheutzow

We study a two-stage tandem service queue attended by two servers. Each job-server pair must complete both service phases together, with the server unable to begin a new job until the current one is fully processed after two stages.…

最优化与控制 · 数学 2026-01-21 Shuwen Lu , Jamol Pender , Mark E. Lewis

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

The performance of non-preemptive M/M/1 queueing system with two priority is analyzed. By using complementary variable method to make vector Markov process and analyzing the state-change equations of the queueing system, the generating…

最优化与控制 · 数学 2009-02-13 Zhao Guo-xi , Hu Qi-Zhou

In this paper we analyze an $M/M/1$ queueing system with an arbitrary number of customer classes, with class-dependent exponential service rates and preemptive priorities between classes. The queuing system can be described by a…

概率论 · 数学 2015-11-13 Andrei Sleptchenko , Jori Selen , Ivo Adan , Geert-Jan van Houtum

We consider a polling system with two queues, where a single server is attending the queues in a cyclic order and requires non-zero switching times to switch between the queues. Our aim is to identify a fairly general and comprehensive…

最优化与控制 · 数学 2025-10-20 Konstantin Avrachenkov , Kousik Das , Veeraruna Kavitha , Vartika Singh
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