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A linear layout of a graph consists of a linear ordering of its vertices and a partition of its edges into pages such that the edges assigned to the same page obey some constraint. The two most prominent and widely studied types of linear…

Discrete Mathematics · Computer Science 2025-08-07 Emilio Di Giacomo , Walter Didimo , Henry Förster , Torsten Ueckerdt , Johannes Zink

Motivated by increasing popularity of delay sensitive applications, we investigate the queue stability in device-to-device (D2D) relay-assisted cellular networks. In contrast to prior works on D2D relay-assisted cellular networks, we…

Networking and Internet Architecture · Computer Science 2024-10-30 Soubhik Deb , Prasanna Chaporkar , Abhay Karandikar

We consider a load balancing system consisting of $n$ single-server queues working in parallel, with heterogeneous service rates. Jobs arrive to a central dispatcher, which has to dispatch them to one of the queues immediately upon arrival.…

Performance · Computer Science 2025-10-17 Yishun Luo , Martin Zubeldia

We consider a dynamic system with multiple types of customers and servers. Each type of waiting customer or server joins a separate queue, forming a bipartite graph with customer-side queues and server-side queues. The platform can match…

Optimization and Control · Mathematics 2024-11-19 Zixian Yang , Lei Ying

A collection of $k$ mobile agents is arbitrarily deployed in the edges of a directed torus network where agents perpetually move to the successor edge. Each node has a switch that allows one agent of the two incoming edges to pass to its…

Data Structures and Algorithms · Computer Science 2021-09-03 Oscar Morales-Ponce , Burkhard Englert , Mehrdad Aliasgari

A matching queue is described via a graph $G$ together with a matching policy. Specifically, to each node in the graph there is a corresponding arrival process of items which can either be queued, or matched with queued items in neighboring…

Probability · Mathematics 2017-03-08 Pascal Moyal , Ohad Perry

In geographically-distributed systems, communication latencies are non-negligible. The perceived processing time of a request is thus composed of the time needed to route the request to the server and the true processing time. Once a…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-11 Piotr Skowron , Krzysztof Rzadca

We consider a system with N unit-service-rate queues in tandem, with exogenous arrivals of rate lambda at queue 1, under a back-pressure (MaxWeight) algorithm: service at queue n is blocked unless its queue length is greater than that of…

Probability · Mathematics 2010-02-23 Alexander Stolyar

Delay-based congestion control algorithms provide higher throughput and stability than traditional loss-based AIMD algorithms, but they are inherently unfair against older connections when the queuing and the propagation delay cannot be…

Networking and Internet Architecture · Computer Science 2015-07-28 Miguel Rodríguez-Pérez , Sergio Herrería-Alonso , Manuel Fernández-Veiga , Andrés Suárez-González , Cándido López-García

Queue length monitoring is a commonly arising problem in numerous applications such as queue management systems, scheduling, and traffic monitoring. Motivated by such applications, we formulate a queue monitoring problem, where there is a…

Data Structures and Algorithms · Computer Science 2025-04-28 Aditya Bhaskara , Sreenivas Gollapudi , Sungjin Im , Kostas Kollias , Kamesh Munagala

Interactive applications with automated feedback will largely influence the design of future networked infrastructures. In such applications, status information about an environment of interest is captured and forwarded to a compute node,…

Networking and Internet Architecture · Computer Science 2021-03-30 Samuele Zoppi , Jaya Prakash Champati , James Gross , Wolfgang Kellerer

We consider a stochastic bipartite matching model consisting of multi-class customers and multi-class servers. Compatibility constraints between the customer and server classes are described by a bipartite graph. Each time slot, exactly one…

Probability · Mathematics 2022-01-12 Céline Comte , Jan-Pieter Dorsman

In this paper we develop scheduling policies that maximize the stability region of a wireless network under the assumption that mutual information accumulation is implemented at the physical layer. When the link quality between nodes is not…

Information Theory · Computer Science 2012-07-17 Jing Yang , Yanpei Liu , Stark C. Draper

Tandem queues with finite buffer capacity commonly exist in practical applications. By viewing a tandem queue as an integrated system, an innovative approach has been developed to analyze its performance through the insight from reduction…

Performance · Computer Science 2016-06-02 Kan Wu , Ning Zhao

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

This paper studies a dynamic discrete-time queuing model where at every period players get a new job and must send all their jobs to a queue that has a limited capacity. Players have an incentive to send their jobs as late as possible;…

Computer Science and Game Theory · Computer Science 2023-02-08 Lucas Baudin , Marco Scarsini , Xavier Venel

In this paper, we consider a bidirectional relay network with half-duplex nodes and block fading where the nodes transmit with a fixed transmission rate. Thereby, user 1 and user 2 exchange information only via a relay node, i.e., a direct…

Information Theory · Computer Science 2016-11-15 Vahid Jamali , Nikola Zlatanov , Robert Schober

Several types of linear layouts of graphs are obtained by leveraging known data structures; the most notable representatives are the stack and the queue layouts. In this content, given a data structure, one seeks to specify an order of the…

Data Structures and Algorithms · Computer Science 2023-06-28 Michael A. Bekos , Michael Kaufmann , Maria Eleni Pavlidi , Xenia Rieger

The back-pressure algorithm is a well-known throughput-optimal algorithm. However, its delay performance may be quite poor even when the traffic load is not close to network capacity due to the following two reasons. First, each node has to…

Networking and Internet Architecture · Computer Science 2010-05-31 Loc Bui , R. Srikant , Alexander Stolyar

Consider the single server queue with an infinite buffer and a FIFO discipline, either of type M/M/1 or Geom/Geom/1. Denote by A the arrival process and by s the services. Assume the stability condition to be satisfied. Denote by D the…

Discrete Mathematics · Computer Science 2007-07-31 Moez Draief , Jean Mairesse , Neil O'Connell