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We consider a basic model of a dynamical distribution network, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and…

Optimization and Control · Mathematics 2013-03-20 J. Wei , A. J. van der Schaft

Strong resilience properties of dynamical flow networks are analyzed for distributed routing policies. The latter are characterized by the property that the way the inflow at a non-destination node gets split among its outgoing links is…

Systems and Control · Computer Science 2011-03-28 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

We propose and analyze a graph model to study the connectivity of interdependent networks. Two interdependent networks of arbitrary topologies are modeled as two graphs, where every node in one graph is supported by supply nodes in the…

Discrete Mathematics · Computer Science 2018-09-10 Jianan Zhang , Eytan Modiano

The problem of lossless fixed-rate streaming coding of discrete memoryless sources with side information at the decoder is studied. A random time-varying tree-code is used to sequentially bin strings and a Stack Algorithm with a variable…

Information Theory · Computer Science 2007-07-13 Hari Palaiyanur , Anant Sahai

This paper studies the problem of scheduling in single-hop wireless networks with real-time traffic, where every packet arrival has an associated deadline and a minimum fraction of packets must be transmitted before the end of the deadline.…

Networking and Internet Architecture · Computer Science 2010-07-12 Juan Jose Jaramillo , R. Srikant , Lei Ying

Network Service Chaining (NSC) is a service deployment concept that promises increased flexibility and cost efficiency for future carrier networks. NSC has received considerable attention in the standardization and research communities…

Networking and Internet Architecture · Computer Science 2014-02-14 Wolfgang John , Kostas Pentikousis , George Agapiou , Eduardo Jacob , Mario Kind , Antonio Manzalini , Fulvio Risso , Dimitri Staessens , Rebecca Steinert , Catalin Meirosu

Timely and efficient dissemination of server status is critical in compute-first networking systems, where user tasks arrive dynamically and computing resources are limited and stochastic. In such systems, the access point plays a key role…

Networking and Internet Architecture · Computer Science 2025-07-24 Jianpeng Qi , Chao Liu , Rui Wang , Junyu Dong , Yanwei Yu

Computer network tends to be subjected to the proliferation of mobile demands and increasingly multifarious, therefore it poses a great challenge to guarantee the quality of network service. By designing the model according to different…

Networking and Internet Architecture · Computer Science 2021-01-22 Yue Hong Gao , Xiao Hong , Hao Tian Yang , Lu Chen , Xiao Nan Zhang

We consider traffic flow dynamics for a network of signalized intersections, where the outflow from every link is constrained to be equal to a given capacity function if the queue length is positive, and equal to the minimum of cumulative…

Dynamical Systems · Mathematics 2017-09-13 Pouyan Hosseini , Ketan Savla

We investigate, under general stationary ergodic assumptions, the stability of systems of $S$ parallel queues in which any incoming customer joins the queue of the server having the $p+1$-th shortest workload ($p < S$), or a free server if…

Probability · Mathematics 2015-12-16 Pascal Moyal

The basic load balancing scenario involves a single dispatcher where tasks arrive that must immediately be forwarded to one of $N$ single-server queues. We discuss recent advances on scalable load balancing schemes which provide favorable…

We study networks of interacting queues governed by utility-maximising service-rate allocations in both discrete and continuous time. For {\em finite} networks we establish stability and some steady-state moment bounds under natural…

Probability · Mathematics 2019-08-21 Seva Shneer , Alexander Stolyar

Multiserver jobs, which are jobs that occupy multiple servers simultaneously during service, are prevalent in today's computing clusters. But little is known about the delay performance of systems with multiserver jobs. We consider queueing…

Performance · Computer Science 2023-04-17 Yige Hong , Weina Wang

It has been well established that wireless network coding can significantly improve the efficiency of multi-hop wireless networks. However, in a stochastic environment some of the packets might not have coding pairs, which limits the number…

Optimization and Control · Mathematics 2015-03-19 Yu-Pin Hsu , Navid Abedini , Natarajan Gautam , Alex Sprintson , Srinivas Shakkottai

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

Stream processing is a compute paradigm that promises safe and efficient parallelism. Modern big-data problems are often well suited for stream processing's throughput-oriented nature. Realization of efficient stream processing requires…

Performance · Computer Science 2015-04-14 Jonathan C. Beard , Roger D. Chamberlain

A service provisioning system is examined, where a number of servers are used to offer different types of services to paying customers. A customer is charged for the execution of a stream of jobs; the number of jobs in the stream and the…

Performance · Computer Science 2015-03-19 Michele Mazzucco , Isi Mitrani , Mike Fisher , Paul McKee

We perform network analysis of a system described by the master equation to estimate the lower bound of the steady-state current noise, starting from the level 2.5 large deviation function and using the graph theory approach. When the…

Statistical Mechanics · Physics 2024-10-03 Yasuhiro Utsumi

A basic model of a dynamical distribution network is considered, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and…

Optimization and Control · Mathematics 2014-03-24 Jieqiang Wei , Arjan van der Schaft

We consider a service system with an infinite number of exponential servers sharing a finite service capacity. The servers are ordered according to their speed, and arriving customers join the fastest idle server. A capacity allocation is…

Probability · Mathematics 2018-08-23 Refael Hassin , Liron Ravner
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