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We consider two-stage tandem queueing systems with one dedicated server in each station and a flexible server that can serve both stations. We assume exponential service times, linear holding costs accrued by jobs present in the system, and…

系统与控制 · 计算机科学 2019-04-12 Ioannis Papachristos , Dimitrios G. Pandelis

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 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

We consider a Markovian single server queue with impatient customers. There is a customer abandonment cost and a holding cost for customers in the system. We consider two versions of the problem. In the first version, customers pay a reward…

最优化与控制 · 数学 2025-11-12 Runhua Wu , Hayriye Ayhan

We study a two-type server queueing system where flexible Type-I servers, upon their initial interaction with jobs, decide in real time whether to process them independently or in collaboration with dedicated Type-II servers. Independent…

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

We consider a service system with an infinite number of exponential servers sharing a finite service capacity. The servers are ordered according to their speed, and arriving customers join the fastest idle server. A capacity allocation is…

概率论 · 数学 2018-08-23 Refael Hassin , Liron Ravner

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

We study the problem of assigning $K$ identical servers to a set of $N$ parallel queues in a time-slotted queueing system. The connectivity of each queue to each server is randomly changing with time; each server can serve at most one queue…

最优化与控制 · 数学 2015-03-19 Hassan Halabian , Ioannis Lambadaris , Yannis Viniotis , Chung-Horng Lung

We analyze a network of tandem polling queues with two stations operating under synchronized polling (SP) and out-of-sync polling (OP) strategies, and with nonzero setups. We conduct an exact analysis using a decomposition approach to…

性能 · 计算机科学 2022-03-02 Ravi Suman , Ananth Krishnamurthy

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

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

Cloud computing enables the dynamic provisioning of server resources. To exploit this opportunity, a policy is needed for dynamically allocating (and deallocating) servers in response to the current load conditions. In this paper we…

分布式、并行与集群计算 · 计算机科学 2026-03-24 Niklas Carlsson , Derek Eager

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

We investigate an optimal scheduling problem in a discrete-time system of L parallel queues that are served by K identical, randomly connected servers. Each queue may be connected to a subset of the K servers during any given time slot.…

信息论 · 计算机科学 2016-10-05 Hussein Al-Zubaidy , Ioannis Lambadaris , Yannis Viniotis

In this paper, we investigate the problem of assignment of $K$ identical servers to a set of $N$ parallel queues in a time slotted queueing system. The connectivity of each queue to each server is randomly changing with time; each server…

最优化与控制 · 数学 2016-11-17 Hassan Halabian , Ioannis Lambadaris , Chung-Horng Lung

The maximum possible throughput (or the rate of job completion) of a multi-server system is typically the sum of the service rates of individual servers. Recent work shows that launching multiple replicas of a job and canceling them as soon…

分布式、并行与集群计算 · 计算机科学 2020-12-29 Gauri Joshi , Dhruva Kaushal

We consider an $M/M/1$ queueing system with impatient customers with multiple and single vacations. It is assumed that customers are impatient whenever the state of the server. We derive the probability generating functions of the number of…

概率论 · 数学 2016-04-12 Assia Boumahdaf

Traditionally, research focusing on the design of routing and staffing policies for service systems has modeled servers as having fixed (possibly heterogeneous) service rates. However, service systems are generally staffed by people.…

计算机科学与博弈论 · 计算机科学 2016-03-24 Ragavendran Gopalakrishnan , Sherwin Doroudi , Amy R. Ward , Adam Wierman

We consider a computation offloading system where jobs are processed sequentially at a local server followed by a higher-capacity cloud server. The system offers two service modes, differing in how the processing is split between the…

系统与控制 · 电气工程与系统科学 2025-12-17 Darin Jeff , Eytan Modiano

The shortest-remaining-processing-time (SRPT) scheduling policy has been extensively studied, for more than 50 years, in single-server queues with infinitely patient jobs. Yet, much less is known about its performance in multiserver queues.…

概率论 · 数学 2021-02-12 Jing Dong , Rouba Ibrahim
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