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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

We study a token-based central queue with multiple customer types. Customers of each type arrive according to a Poisson process and have an associated set of compatible tokens. Customers may only receive service when they have claimed a…

概率论 · 数学 2019-02-07 U. Ayesta , T. Bodas , J. L. Dorsman , I. M. Verloop

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 the problem of customer equilibrium behavior of a single server Markovian queue with dynamic control of the service rate. Customers arrive according a Poisson procedure and the system administrator makes a service rate choice…

最优化与控制 · 数学 2018-05-17 Apostolos Burnetas , Yiannis Dimitrakopoulos

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

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

Two independent Poisson streams of jobs flow into a single-server service system having a limited common buffer that can hold at most one job. If a type-i job (i=1,2) finds the server busy, it is blocked and routed to a separate type-i…

离散数学 · 计算机科学 2012-06-26 Konstantin Avrachenkov , Philippe Nain , Uri Yechiali

Motivated by applications such as urban traffic control and make-to-order systems, we study a fluid model of a single-server, on-off system that can accommodate multiple queues. The server visits each queue in order: when a queue is served,…

计算机科学与博弈论 · 计算机科学 2025-04-01 Yanwei Sun , Zhe Liu , Chiwei Yan

In this paper, we study a controllable tandem queueing system consisting of two nodes and a controller, in which customers arrive according to a Poisson process and must receive service at both nodes before leaving the system. A decision…

概率论 · 数学 2015-04-07 Liu Zaiming , Chen Gang , Wu Jinbiao

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

We consider a service system where agents (or, servers) are invited on-demand. Customers arrive as a Poisson process and join a customer queue. Customer service times are i.i.d. exponential. Agents' behavior is random in two respects.…

概率论 · 数学 2016-09-09 Lam Nguyen , Alexander Stolyar

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

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 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

We study a make-to-order system with a finite set of customers. Production is stochastic with a nonlinear dependence between the ordered quantity and the production rate. Customers may have to queue until their turn arrives, and therefore…

最优化与控制 · 数学 2025-07-29 Refael Hassin , Jiesen Wang

The queue system,with Poisson arrivals,constant service time and infinite servers, busy period distribution is intensively studied because, due to its probability density function quite easy interpretation, it may serve as a clue to…

概率论 · 数学 2021-09-23 Manuel Alberto M. Ferreira

We investigate Markovian queues that are examined by a controller at random times determined by a Poisson process. Upon examination, the controller sets the service speed to be equal to the minimum of the current number of customers in the…

性能 · 计算机科学 2023-03-30 R. Núñez-Queija , B. J. Prabhu , J. A. C. Resing

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

概率论 · 数学 2014-08-04 Marko Boon , Rob van der Mei , Erik Winands

We study an optimal server partition and customer assignment problem for an uncapacitated FCFS queueing system with heterogeneous types of customers. Each type of customers is associated with a Poisson arrival, a certain service time…

最优化与控制 · 数学 2025-01-08 Shengyu Cao , Simai He , Zizhuo Wang , Yifan Feng

We study the problem of strategic choice of arrival time to a single-server queue with opening and closing times when there is uncertainty regarding service speed. A Poisson population of customers choose their arrival time with the goal of…

概率论 · 数学 2021-01-01 Liron Ravner , Yutaka Sakuma
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