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This paper presents a second-order heavy traffic analysis of a single server queue that processes customers having deadlines using the earliest-deadline-first scheduling policy. For such systems, referred to as real-time queueing systems,…

Probability · Mathematics 2007-05-23 Łukasz Kruk , John Lehoczky , Steven Shreve

Collaborative edge computing addresses the resource constraints of individual edge nodes by enabling resource sharing and task co-processing across multiple nodes. To fully leverage the advantages of collaborative edge computing, joint…

Performance · Computer Science 2025-08-25 Yang Li , Xing Zhang , Yunji Zhao , Wenbo Wang

The prolonged service time at non-dedicated servers has been observed in [1]. Motivated by such real problems, we propose a stylized model which characterizes the feature of the prolonged service time at non-dedicated servers in an…

Performance · Computer Science 2021-03-02 Yanting Chen , Jingui Xie , Taozeng Zhu

We study a passenger-taxi double-ended queue with impatient passengers and two-point matching time in this paper. The system considered in this paper is different from those considered in the existing literature, which fully considers the…

Probability · Mathematics 2021-01-29 Zhen Wang , Cheryl Yang , Liwei Liu , Yiqiang Q. Zhao

Till today we dreamt of imperceptible delay in a network. The computer science research grows today faster than ever offering more and more services (computational representational, graphical, intelligent implication etc) to its user. But…

Networking and Internet Architecture · Computer Science 2011-10-18 Soumen Kanrar , M Siraj

This paper studies the equilibrium behavior of customers in the Geo/Geo/1 queueing system with multiple working vacations. The arriving customers decide whether to join or to balk the queueing systems based on the information of the queue…

Probability · Mathematics 2014-04-29 Yang Bixuan , Hou Zhenting , Wu Jinbiao , Liu Zaiming

Multi-server jobs are imperative in modern computing clusters. A multi-server job has multiple task components and each of the task components is responsible for processing a specific size of workloads. Efficient online workload dispatching…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-14 Hailiang Zhao , Shuiguang Deng , Jianwei Yin , Schahram Dustdar , Albert Y. Zomaya

Multiserver-job systems, where jobs require concurrent service at many servers, occur widely in practice. Essentially all of the theoretical work on multiserver-job systems focuses on maximizing utilization, with almost nothing known about…

Performance · Computer Science 2022-11-08 Isaac Grosof , Ziv Scully , Mor Harchol-Balter , Alan Scheller-Wolf

Stochastic service systems describe situations in which customers compete for service from scarce resources. Think of check-in lines at airports, waiting rooms in hospitals or queues in supermarkets, where the scarce resource is human…

Probability · Mathematics 2017-06-30 Britt W. J. Mathijsen

We study a dynamic allocation problem that arises in various scenarios where mobile clients joining and leaving the system have to communicate with static stations via radio transmissions. Restrictions are a maximum delay, or laxity,…

Data Structures and Algorithms · Computer Science 2018-03-06 Austin Halper , Miguel A. Mosteiro , Yulia Rossikova , Prudence W. H. Wong

We study the trade-off between delivery delay and energy consumption in a delay tolerant network in which a message (or a file) has to be delivered to each of several destinations by epidemic relaying. In addition to the destinations, there…

Networking and Internet Architecture · Computer Science 2011-10-28 Chandramani Singh , Eitan Altman , Anurag Kumar , Rajesh Sundaresan

We develop a robust queueing network analyzer algorithm to approximate the steady-state performance of a single-class open queueing network of single-server queues with Markovian routing. The algorithm allows non-renewal external arrival…

Probability · Mathematics 2020-03-26 Ward Whitt , Wei You

We introduce the concept of continuous transportation task to the context of multi-agent systems. A continuous transportation task is one in which a multi-agent team visits a number of fixed locations, picks up objects, and delivers them to…

Multiagent Systems · Computer Science 2016-07-29 Chao Wang , Somchaya Liemhetcharat , Kian Hsiang Low

In this paper, we consider a goal-oriented communication problem for edge server monitoring, where jobs arrive intermittently at multiple dispatchers and must be assigned to shared edge servers with finite queues and time-varying…

Systems and Control · Electrical Eng. & Systems 2025-10-01 Samuel Chamoun , Christian McDowell , Robin Buchanan , Kevin Chan , Eric Graves , Yin Sun

We study a dispatching and pricing problem in two-sided spatial queues with fixed supply, motivated by ride-hailing and robotaxi platforms. Idle drivers queue on one side, waiting to pick up riders, while riders queue on the other, waiting…

Optimization and Control · Mathematics 2026-03-17 Ang Xu , Chiwei Yan

The paper studies approximations and control of a processor sharing (PS) server where the service rate depends on the number of jobs occupying the server. The control of such a system is implemented by imposing a limit on the number of jobs…

Systems and Control · Computer Science 2014-09-02 Varun Gupta , Jiheng Zhang

We consider the problem of scheduling in multi-class, parallel-server queuing systems with uncertain rewards from job-server assignments. In this scenario, jobs incur holding costs while awaiting completion, and job-server assignments yield…

Machine Learning · Computer Science 2025-08-15 Jung-hun Kim , Milan Vojnovic

We investigate the long-run behavior of single-server queues with Hawkes arrivals and general service distributions and related optimization problems. In detail, utilizing novel coupling techniques, we establish finite moment bounds for the…

Probability · Mathematics 2023-11-14 Xinyun Chen , Guiyu Hong

Fork-Join (FJ) queueing models capture the dynamics of system parallelization under synchronization constraints, for example, for applications such as MapReduce, multipath transmission and RAID systems. Arriving jobs are first split into…

Performance · Computer Science 2017-02-03 Wasiur R. KhudaBukhsh , Amr Rizk , Alexander Frömmgen , Heinz Koeppl

In cyber-physical systems such as automobiles, measurement data from sensor nodes should be delivered to other consumer nodes such as actuators in a regular fashion. But, in practical systems over unreliable media such as wireless, it is a…

Networking and Internet Architecture · Computer Science 2015-04-14 Xueying Guo , Rahul Singh , P. R. Kumar , Zhisheng Niu
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