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We consider the queuing networks, which are made from servers, exchanging their positions. The customers, using the network, try to reach their destinations, which is complicated by the movements of the servers, taking their customers with…

Probability · Mathematics 2013-11-18 François Baccelli , Alexandre Rybko , Senya Shlosman

We consider the serve-the-longest-queue discipline for a multiclass queue with buffers of equal size, operating under (i) the conventional and (ii) the Halfin-Whitt heavy traffic regimes, and show that while the queue length process'…

Probability · Mathematics 2016-01-07 Rami Atar , Subhamay Saha

We study offline scheduling for large language model (LLM) serving under a fixed KV-cache memory budget, where requests have heterogeneous prompt (prefill) and response (decode) lengths. Prompt tokens determine initial KV usage, and each…

Optimization and Control · Mathematics 2026-02-11 Meixuan Wang , Yinyu Ye , Zijie Zhou

Federated learning (FL) is a general principle for decentralized clients to train a server model collectively without sharing local data. FL is a promising framework with practical applications, but its standard training paradigm requires…

Machine Learning · Computer Science 2024-07-23 Haozhe Feng , Tianyu Pang , Chao Du , Wei Chen , Shuicheng Yan , Min Lin

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…

Optimization and Control · Mathematics 2025-07-29 Refael Hassin , Jiesen Wang

We introduce a very simple queue implementation with the singly linked list. With the help of the rear blank node instead of the usual header node, we avoid additional check steps for the dequeue operation in the traditional implementations…

Data Structures and Algorithms · Computer Science 2021-10-05 Xie Xie

In the context of changing travel behaviors and the expanding user base of Geographic Information System (GIS) services, conventional centralized architectures responsible for handling shortest distance queries are facing increasing…

Databases · Computer Science 2024-03-19 Xiubo Zhang , Yujie He , Ye Li , Yan Li , Zijie Zhou , Dongyao Wei , Ryan

Scheduling of service requests in Cloud computing has traditionally focused on the reduction of pre-service wait, generally termed as waiting time. Under certain conditions such as peak load, however, it is not always possible to give…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-08-21 Carlos Cardonha , Marcos D. Assunção , Marco A. S. Netto , Renato L. F. Cunha , Carlos Queiroz

A multiple server setting is considered, where each server has tunable speed, and increasing the speed incurs an energy cost. Jobs arrive to a single queue, and each job has two types of sub-tasks, map and reduce, and a {\bf precedence}…

Data Structures and Algorithms · Computer Science 2021-05-20 Rahul Vaze , Jayakrishnan Nair

We consider the problem of managing a bounded size First-In-First-Out (FIFO) queue buffer, where each incoming unit-sized packet requires several rounds of processing before it can be transmitted out. Our objective is to maximize the total…

Networking and Internet Architecture · Computer Science 2012-04-25 Kirill Kogan , Alejandro López-Ortiz , Sergey I. Nikolenko , Alexander V. Sirotkin , Denis Tugaryov

In a network, arrival process is converted into departure process through network elements. The departure process suffer propagation delay in the link, processing delay at the network elements like router and data loss due to buffer…

Networking and Internet Architecture · Computer Science 2011-02-19 Nitul Dutta , Iti Saha Misra

In this paper, we investigate scheduling policies that minimize the age of information in single-hop queueing systems. We propose a Last-Generated, First-Serve (LGFS) scheduling policy, in which the packet with the earliest generation time…

Information Theory · Computer Science 2019-04-16 Ahmed M. Bedewy , Yin Sun , Ness B. Shroff

By analyzing energy-efficient management of data centers, this paper proposes and develops a class of interesting {\it Group-Server Queues}, and establishes two representative group-server queues through loss networks and impatient…

Performance · Computer Science 2017-07-24 Quan-Lin Li , Jing-Yu Ma , Mingzhou Xie , Li Xia

In this paper, we compare two analytical models for evaluation of cache coherence overhead of a shared bus multiprocessor with private caches. The models are based on a closed queuing network with different service disciplines. We find that…

Performance · Computer Science 2010-04-22 Angel Vassilev Nikolov , Lerato Lerato

This paper investigates the capacity of a channel in which information is conveyed by the timing of consecutive packets passing through a queue with independent and identically distributed service times. Such timing channels are commonly…

Information Theory · Computer Science 2018-03-06 Mehrnaz Tavan , Roy D. Yates , Waheed U. Bajwa

This paper describes two basic queueing models of service platforms in digital sharing economy by means of two different policies of platform matching information. We show that the two queueing models of service platforms can be expressed…

Performance · Computer Science 2021-08-09 Heng-Li Liu , Quan-Lin Li , Xiaole Wu , Chi Zhang

A single-server queuing model is considered with customers that have deadlines. If a customer's deadline elapses before service is offered, the customer abandons the system (customers do not abandon while being served). When the server…

Probability · Mathematics 2014-08-21 Rami Atar , Anup Biswas , Haya Kaspi

We consider the problem of minimizing the delay of jobs moving through a directed graph of service nodes. In this problem, each node may have several links and is constrained to serve one link at a time. As jobs move through the network,…

Networking and Internet Architecture · Computer Science 2019-03-08 Hsu-Chieh Hu , Stephen F. Smith

We present Prequal (Probing to Reduce Queuing and Latency), a load balancer for distributed multi-tenant systems. Prequal aims to minimize real-time request latency in the presence of heterogeneous server capacities and non-uniform,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-19 Bartek Wydrowski , Robert Kleinberg , Stephen M. Rumble , Aaron Archer

Motivated by the increasing popularity of learning and predicting human user behavior in communication and computing systems, in this paper, we investigate the fundamental benefit of predictive scheduling, i.e., predicting and pre-serving…

Optimization and Control · Mathematics 2013-09-05 Longbo Huang , Shaoquan Zhang , Minghua Chen , Xin Liu