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Motivated by applications that involve setting proper staffing levels for multi-server queueing systems with batch arrivals, we present a thorough study of the queue-length process $\{Q(t); t \geq 0\}$, departure process $\{D(t); t \geq…

Probability · Mathematics 2022-06-20 Andrew Daw , Brian Fralix , Jamol Pender

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…

Optimization and Control · Mathematics 2026-01-21 Shuwen Lu , Mark E. Lewis , Jamol Pender

In this paper, we consider contention resolution on a multiple-access communication channel. In this problem, a set of nodes arrive over time, each with a message it intends to send. In each time slot, each node may attempt to broadcast its…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-22 Haimin Chen , Yonggang Jiang , Chaodong Zheng

The problem of appropriately matching items subject to compatibility constraints arises in a number of important applications. While most of the literature on matching theory focuses on a static setting with a fixed number of items, several…

Probability · Mathematics 2022-01-04 Céline Comte

We establish heavy-traffic stochastic-process limits for waiting times in many-server queues with customer abandonment. If the system is asymptotically critically loaded, as in the quality-and-efficiency-driven (QED) regime, then a bounding…

Probability · Mathematics 2009-12-10 Rishi Talreja , Ward Whitt

We consider a service system with two Poisson arrival queues. A server chooses which queue to serve at each moment. Once a queue is served, all the customers will be served within a fixed amount of time. This model is useful in studying…

Optimization and Control · Mathematics 2013-07-02 Yuhang Liu , Zizhuo Wang

Energy storage is a crucial component of the smart grid, since it provides the ability to buffer transient fluctuations of the energy supply from renewable sources. Even without a load, energy storage systems experience a reduction of the…

Performance · Computer Science 2017-10-27 Majid Raeis , Almut Burchard , Jorg Liebeherr

In this paper we study the power-performance relationship of power-efficient computing from a queuing theoretic perspective. We investigate the interplay of several system operations including processing speed, system on/off decisions, and…

Performance · Computer Science 2013-03-08 Yanpei Liu , Stark C. Draper , Nam Sung Kim

We present an overview of scalable load balancing algorithms which provide favorable delay performance in large-scale systems, and yet only require minimal implementation overhead. Aimed at a broad audience, the paper starts with an…

Performance · Computer Science 2017-12-25 Mark van der Boor , Sem C. Borst , Johan S. H. van Leeuwaarden , Debankur Mukherjee

In multi-server queueing systems where there is no central queue holding all incoming jobs, job dispatching policies are used to assign incoming jobs to the queue at one of the servers. Classic job dispatching policies such as…

Systems and Control · Electrical Eng. & Systems 2021-06-11 Tuhinangshu Choudhury , Gauri Joshi , Weina Wang , Sanjay Shakkottai

We investigate the optimal pricing strategy in a service-providing framework, where customers can leave the system prior to service completion. In this setting, a price is quoted to an incoming customer based on the current number of…

Optimization and Control · Mathematics 2026-05-05 Jieqi Di , Sigrún Andradóttir , Hayriye Ayhan

In this paper, wireless systems operating under queueing constraints in the form of limitations on the buffer violation probabilities are considered. The throughput under such constraints is captured by the effective capacity formulation.…

Information Theory · Computer Science 2010-09-16 Mustafa Cenk Gursoy

To boost energy saving for the general delay-tolerant IoT networks, a two-stage and single-relay queueing communication scheme is investigated. Concretely, a traffic-aware $N$-threshold and gated-service policy are applied at the relay. As…

Networking and Internet Architecture · Computer Science 2020-02-18 Nan Qi , Nikolaos I. Miridakis , Ming Xiao , Theodoros A. Tsiftsis , Rugui Yao , Shi Jin

We consider scheduling in a quantum switch with stochastic entanglement generation, finite quantum memories, and decoherence. The objective is to design a scheduling algorithm with polynomial-time computational complexity that stabilizes a…

Optimization and Control · Mathematics 2026-03-31 R. Srikant

We consider an overloaded multiclass nonidling first-in-first-out single-server queue with abandonment. The interarrival times, service times, and deadline times are sequences of independent and identically, but generally distributed random…

Probability · Mathematics 2013-11-18 Otis B. Jennings , Amber L. Puha

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.…

Information Theory · Computer Science 2016-10-05 Hussein Al-Zubaidy , Ioannis Lambadaris , Yannis Viniotis

We consider stability and network capacity in discrete time queueing systems. Relationships between four common notions of stability are described. Specifically, we consider rate stability, mean rate stability, steady state stability, and…

Networking and Internet Architecture · Computer Science 2010-03-18 Michael J. Neely

This paper is motivated by the observation that the average queueing delay can be decreased by sacrificing power efficiency in wireless communications. In this sense, we naturally wonder what is the minimum queueing delay when the available…

Information Theory · Computer Science 2018-07-27 Meng Wang , Juan Liu , Wei Chen , Anthony Ephremides

We consider a setting where qubits are processed sequentially, and derive fundamental limits on the rate at which classical information can be transmitted using quantum states that decohere in time. Specifically, we model the sequential…

Information Theory · Computer Science 2019-04-15 Avhishek Chatterjee , Krishna Jagannathan , Prabha Mandayam

These days enterprise applications try to integrate online processing and batch jobs into a common software stack for seamless monitoring and driverless operations. Continuous integration of these systems results in choking of the poorly…

Performance · Computer Science 2015-12-16 Subrata Ashe
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