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When an explicit expression for a probability distribution function $F(x)$ can not be found, asymptotic properties of the tail probability function $\bar{F}(x)=1-F(x)$ are very valuable, since they provide approximations or bounds for…

Probability · Mathematics 2019-04-16 Bin Liu , Yiqiang Q. Zhao

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 this paper, we consider how to provide fast estimates of flow-level tail latency performance for very large scale data center networks. Network tail latency is often a crucial metric for cloud application performance that can be affected…

Networking and Internet Architecture · Computer Science 2022-10-03 Kevin Zhao , Prateesh Goyal , Mohammad Alizadeh , Thomas E. Anderson

Efficient scheduling is crucial for interactive Large Language Model (LLM) applications, where low request completion time directly impacts user engagement. Size-based scheduling algorithms like Shortest Remaining Process Time (SRPT) aim to…

Machine Learning · Computer Science 2024-10-03 Rana Shahout , Eran Malach , Chunwei Liu , Weifan Jiang , Minlan Yu , Michael Mitzenmacher

Modern latency-critical online services often rely on composing results from a large number of server components. Hence the tail latency (e.g. the 99th percentile of response time), rather than the average, of these components determines…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-11 Rui Han , Junwei Wang , Siguang Huang , Chenrong Shao , Shulin Zhan , Jianfeng Zhan , Jose Luis Vazquez-Poletti

The efficient scheduling of multi-task jobs across multiprocessor systems has become increasingly critical with the rapid expansion of computational systems. This challenge, known as Multiprocessor Multitask Scheduling (MPMS), is essential…

Networking and Internet Architecture · Computer Science 2026-02-10 Wenxin Li

Motivated by the increasing importance of providing delay-guaranteed services in general computing and communication systems, and the recent wide adoption of learning and prediction in network control, in this work, we consider a general…

Networking and Internet Architecture · Computer Science 2018-01-08 Kun Chen , Longbo Huang

Deep neural networks training jobs and other iterative computations frequently include checkpoints where jobs can be canceled based on the current value of monitored metrics. While most of existing results focus on the performance of all…

Performance · Computer Science 2022-09-30 Yuan Yao , Marco Paolieri , Leana Golubchik

As job redundancy has been recognized as an effective means to improve performance of large-scale computer systems, queueing systems with redundancy have been studied by various authors. Existing results include methods to compute the queue…

Performance · Computer Science 2024-01-17 Nicolas Gast , Benny van Houdt

We aim to address Multi-Task Learning (MTL) with a large number of tasks by Multi-Task Grouping (MTG). Given N tasks, we propose to simultaneously identify the best task groups from 2^N candidates and train the model weights simultaneously…

Machine Learning · Computer Science 2024-07-09 Yuan Gao , Shuguo Jiang , Moran Li , Jin-Gang Yu , Gui-Song Xia

This paper addresses the scheduling problem for unrelated crowd workers in mobile social networks, where the required service time for each task varies among the assigned crowd workers. The goal is to minimize the total weighted completion…

Data Structures and Algorithms · Computer Science 2026-03-30 Chi-Yeh Chen

We consider scheduling to minimize mean response time of the M/G/k queue with unknown job sizes. In the single-server case, the optimal policy is the Gittins policy, but it is not known whether Gittins or any other policy is optimal in the…

Performance · Computer Science 2020-10-28 Ziv Scully , Isaac Grosof , Mor Harchol-Balter

The problem of designing efficient feedback-based scheduling policies for chunked codes (CC) over packet networks with delay and loss is considered. For networks with feedback, two scheduling policies, referred to as random push (RP) and…

Information Theory · Computer Science 2012-07-20 Anoosheh Heidarzadeh , Amir H. Banihashemi

In a previous paper by the second author,two Markov chain Monte Carlo perfect sampling algorithms -- one called coupling from the past (CFTP) and the other (FMMR) based on rejection sampling -- are compared using as a case study the…

Probability · Mathematics 2007-05-23 Robert P. Dobrow , James Allen Fill

It has been shown by A.-L. Barabasi that the priority based scheduling rules in single stage queuing systems (QS) generates fat tail behavior for the tasks waiting time distributions (WTD). Such fat tails are due to the waiting times of…

Statistical Mechanics · Physics 2013-05-29 Ph. Blanchard , M. -O. Hongler

Conventional wisdom for minimizing the average flow completion time (AFCT) in the datacenter network (DCN), where flow sizes are highly variable, would suggest scheduling every individual flow. However, we show that considering scheduling…

Networking and Internet Architecture · Computer Science 2020-01-24 Soheil Abbasloo , Yang Xu , H. Jonathan Chao

Multi-task learning (MTL) has emerged as a pivotal paradigm in machine learning by leveraging shared structures across multiple related tasks. Despite its empirical success, the development of likelihood-based efficiently solvable…

Machine Learning · Computer Science 2026-05-07 Shihong Ding , Fangyu Du , Cong Fang

We consider the problem of scheduling to minimize mean response time in M/G/1 queues where only estimated job sizes (processing times) are known to the scheduler, where a job of true size $s$ has estimated size in the interval $[\beta s,…

Performance · Computer Science 2022-03-25 Ziv Scully , Isaac Grosof , Michael Mitzenmacher

We study the classic problem of minimizing the expected total completion time of jobs on $m$ identical machines in the setting where the sizes of the jobs are stochastic. Specifically, the size of each job is a random variable whose…

Data Structures and Algorithms · Computer Science 2022-08-30 Anupam Gupta , Benjamin Moseley , Rudy Zhou

We consider the problem of packet scheduling in single-hop queueing networks, and analyze the impact of heavy-tailed traffic on the performance of Max-Weight scheduling. As a performance metric we use the delay stability of traffic flows: a…

Networking and Internet Architecture · Computer Science 2011-08-02 Mihalis G. Markakis , Eytan H. Modiano , John N. Tsitsiklis