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In the study of ad hoc sensor networks, clustering plays an important role in energy conservation therefore analyzing the mechanics of such topology can be helpful to make logistic decisions .Using the theory of complex network the…

Networking and Internet Architecture · Computer Science 2014-10-30 Chiranjib Patra , Samiran Chattopadhyay , Matangini Chattopadhyay , Parama Bhaumik

Congestion is said to occur in the network when the resource demands exceed the capacity and packets are lost due to too much queuing in the network. During congestion, the network throughput may drop to zero and the path delay may become…

Networking and Internet Architecture · Computer Science 2007-05-23 R. Jain , K. Ramakrishnan

The distribution system restoration (DSR) problem has received considerable attention over the last decade or more. Solutions to the DSR problem identify the best set or sequence of actions to perform on a distribution circuit to restore…

Systems and Control · Electrical Eng. & Systems 2026-04-20 David M. Fobes , Harsha Nagarajan , Manuel Garcia , Robert Ferrando , Russell Bent

Supply chain network is critical to serving customers, so the most common practices are to determine the number, location, and capacity of facilities. But at the same time, uncertainties and risks must be taken into account in order to…

Physics and Society · Physics 2022-01-19 Khadija Ait Mamoun , Lamia Hammadi , Abdessamad El Ballouti , Eduardo Souza De Cursi

Scheduling control problems for a family of unitary networks under heavy traffic with general interarrival and service times, probabilistic routing and an infinite horizon discounted linear holding cost are studied. Diffusion control…

Probability · Mathematics 2012-05-07 Amarjit Budhiraja , Arka P. Ghosh

Complex networks are ubiquitous: a cell, the human brain, a group of people and the Internet are all examples of interconnected many-body systems characterized by macroscopic properties that cannot be trivially deduced from those of their…

We study a queueing network with a single shared server, that serves the queues in a cyclic order according to the gated service discipline. External customers arrive at the queues according to independent Poisson processes. After…

Probability · Mathematics 2014-09-11 Marko Boon , Rob van der Mei , Erik Winands

In networking applications, one often wishes to obtain estimates about the number of objects at different parts of the network (e.g., the number of cars at an intersection of a road network or the number of packets expected to reach a node…

Social and Information Networks · Computer Science 2020-06-22 Harshal A. Chaudhari , Michael Mathioudakis , Evimaria Terzi

We investigate the functional limits of generalized Jackson networks in a multi-scale heavy traffic regime where stations approach full utilization at distinct, separated rates. Our main result shows that the appropriately scaled queue…

Probability · Mathematics 2025-08-26 Zhen-Qing Chen , J. G. Dai , Jin Guang

Percolation in complex networks is viewed as both: a process that mimics network degradation and a tool that reveals peculiarities of the underlying network structure. During the course of percolation, networks undergo non-trivial…

Physics and Society · Physics 2019-02-05 Ivan Kryven

A problem that arises in drawings of transportation networks is to minimize the number of crossings between different transportation lines. While this can be done efficiently under specific constraints, not all solutions are visually…

Data Structures and Algorithms · Computer Science 2013-06-25 Martin Fink , Sergey Pupyrev

Community structure is one of the most relevant features encountered in numerous real-world applications of networked systems. Despite the tremendous effort of scientists working on this subject over the past few decades to characterize,…

Physics and Society · Physics 2019-12-18 Hocine Cherifi , Gergely Palla , Boleslaw K. Szymanski , Xiaoyan Lu

Many packing, scheduling and covering problems that were previously considered by computer science literature in the context of various transportation and production problems, appear also suitable for describing and modeling various…

Computer Science and Game Theory · Computer Science 2015-03-19 Elena Kleiman

This paper considers the problem of designing a dynamical system to solve constrained optimization problems in a distributed way and in an anytime fashion (i.e., such that the feasible set is forward invariant). For problems with separable…

Optimization and Control · Mathematics 2023-09-07 Pol Mestres , Jorge Cortés

Percolation is an emblematic model to assess the robustness of interconnected systems when some of their components are corrupted. It is usually investigated in simple scenarios, such as the removal of the system's units in random order, or…

Statistical Mechanics · Physics 2021-05-03 Oriol Artime , Manlio De Domenico

In this paper we consider several problems concerning packet routing in distributed systems. Each problem is formulated using terms from Graph Theory and for each problem we present efficient, novel, algorithmic techniques for computing…

Data Structures and Algorithms · Computer Science 2009-06-19 Mugurel Ionut Andreica , Nicolae Tapus

Networked systems are systems of interconnected components, in which the dynamics of each component are influenced by the behavior of neighboring components. Examples of networked systems include biological networks, critical…

Systems and Control · Computer Science 2016-06-01 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

Compositionality is a key strategy for addressing combinatorial complexity and the curse of dimensionality. Recent work has shown that compositional solutions can be learned and offer substantial gains across a variety of domains, including…

Machine Learning · Computer Science 2019-04-30 Clemens Rosenbaum , Ignacio Cases , Matthew Riemer , Tim Klinger

The analysis of stochastic loss networks has long been of interest in computer and communications networks and is becoming important in the areas of service and information systems. In traditional settings, computing the well known Erlang…

Probability · Mathematics 2007-08-31 Yingdong Lu , Ana Radovanović

Granular segregation is ubiquitous in industrial, geological or daily-life context, but there is still no unifying theoretical approach. In this review, we examine two examples of granular segregation -- shallow rapid flows and rotating…

Soft Condensed Matter · Physics 2015-03-13 Matthias Schröter , Karen E. Daniels