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Content caching at the edge of network is a promising technique to alleviate the burden of backhaul networks. In this paper, we consider content caching along time in a base station with limited cache capacity. As the popularity of contents…

Networking and Internet Architecture · Computer Science 2020-01-14 Ghafour Ahani , Di Yuan

In this paper, we introduce a new online scheduling framework for minimizing total weighted completion time in a general setting. The framework is inspired by the work of Hall et al. [Mathematics of Operations Research, Vol 22(3):513-544,…

Data Structures and Algorithms · Computer Science 2017-04-25 Samir Khuller , Jingling Li , Pascal Sturmfels , Kevin Sun , Prayaag Venkat

We consider a switch operating under the MaxWeight scheduling algorithm, under any traffic pattern such that all the ports are loaded. This system is interesting to study since the queue lengths exhibit a multi-dimensional state-space…

Probability · Mathematics 2015-06-11 Siva Theja Maguluri , R. Srikant

Large language models now serve millions of users daily, with providers incurring costs exceeding $700,000 per day. Each request requires token-by-token inference, making GPU scheduling central to latency, capacity, and cost. The difficulty…

Machine Learning · Computer Science 2026-05-18 Ruicheng Ao , Gan Luo , David Simchi-Levi , Xinshang Wang

In the Flow Edge-Monitor Problem, we are given an undirected graph G=(V,E), an integer k > 0 and some unknown circulation \psi on G. We want to find a set of k edges in G, so that if we place k monitors on those edges to measure the flow…

Data Structures and Algorithms · Computer Science 2009-09-01 Francis Chin , Marek Chrobak , Li Yan

With a growing number of quantum networks in operation, there is a pressing need for performance analysis of quantum switching technologies. A quantum switch establishes, distributes, and maintains entanglements across a network. In…

Quantum Physics · Physics 2025-01-10 Sanidhay Bhambay , Thirupathaiah Vasantam , Neil Walton

In this paper, we consider the online problem of scheduling independent jobs \emph{non-preemptively} so as to minimize the weighted flow-time on a set of unrelated machines. There has been a considerable amount of work on this problem in…

Data Structures and Algorithms · Computer Science 2018-04-24 Giorgio Lucarelli , Benjamin Moseley , Nguyen Kim Thang , Abhinav Srivastav , Denis Trystram

We introduce a new approach to the maximum flow problem in undirected, capacitated graphs using $\alpha$-\emph{congestion-approximators}: easy-to-compute functions that approximate the congestion required to route single-commodity demands…

Data Structures and Algorithms · Computer Science 2013-04-09 Jonah Sherman

We consider a switched (queuing) network in which there are constraints on which queues may be served simultaneously; such networks have been used to effectively model input-queued switches and wireless networks. The scheduling policy for…

Probability · Mathematics 2014-09-04 D. Shah , N. S. Walton , Y. Zhong

This paper considers the fundamental convergence time for opportunistic scheduling over time-varying channels. The channel state probabilities are unknown and algorithms must perform some type of estimation and learning while they make…

Optimization and Control · Mathematics 2017-10-05 Michael J. Neely

The problem of packet scheduling for traffic streams with target outflow profiles traversing input queued switches is formulated in this paper. Target outflow profiles specify the desirable inter-departure times of packets leaving the…

Networking and Internet Architecture · Computer Science 2011-01-04 Aditya Dua , Nicholas Bambos

We consider a type of optimal switching problems with non-uniform execution delays and ramping. Such problems frequently occur in the operation of economical and engineering systems. We first provide a solution to the problem by applying a…

Optimization and Control · Mathematics 2017-02-15 Magnus Perninge

In this paper we analyze the average queue backlog in a combined input-output queued switch using a maximal size matching scheduling algorithm. We compare this average backlog to the average backlog achieved by an optimal switch. We model…

Networking and Internet Architecture · Computer Science 2007-05-23 Randy Cogill , Sanjay Lall

Motivated by applications in online marketplaces such as ride-hailing, we study how strategic servers impact the system performance. We consider a discrete-time process in which, heterogeneous types of customers and servers arrive. Each…

Optimization and Control · Mathematics 2021-06-25 Sushil Mahavir Varma , Francisco Castro , Siva Theja Maguluri

Consider the problem of a multi-user multiple access channel. While several multi-user coding techniques exist, in practical scenarios, not all users can be scheduled simultaneously. Thus, a key problem is which users to schedule in a given…

Information Theory · Computer Science 2015-07-14 Ori Shmuel , Asaf Cohen , Omer Gurewitz

Integrating time-frequency resource conversion (TFRC), a new network resource allocation strategy, with call admission control can not only increase the cell capacity but also reduce network congestion effectively. However, the optimal…

Networking and Internet Architecture · Computer Science 2016-05-24 Hangguan Shan , Yani Zhang , Weihua Zhuang , Aiping Huang , Zhaoyang Zhang

We analyze the problem of scheduling in wireless networks to meet end-to-end service guarantees. Using network slicing to decouple the queueing dynamics between flows, we show that the network's ability to meet hard throughput and deadline…

Networking and Internet Architecture · Computer Science 2024-09-17 Nicholas Jones , Eytan Modiano

In this paper, we introduce a new framework for approximately solving flow problems in capacitated, undirected graphs and apply it to provide asymptotically faster algorithms for the maximum $s$-$t$ flow and maximum concurrent…

Data Structures and Algorithms · Computer Science 2013-09-24 Jonathan A. Kelner , Yin Tat Lee , Lorenzo Orecchia , Aaron Sidford

An important objective in scheduling literature is to minimize the sum of weighted flow times. We are given a set of jobs where each job is characterized by a release time, a processing time, and a weight. Our goal is to find a preemptive…

Data Structures and Algorithms · Computer Science 2022-08-08 Alexander Armbruster , Lars Rohwedder , Andreas Wiese

We provide faster strongly polynomial time algorithms solving maximum flow in structured $n$-node $m$-arc networks. Our results imply an $n^{\omega + o(1)}$-time strongly polynomial time algorithms for computing a maximum bipartite…

Data Structures and Algorithms · Computer Science 2025-10-24 Daniel Dadush , James B. Orlin , Aaron Sidford , László A. Végh