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With the rapidly increasing number of deployed LTE femtocell base stations (FBS), energy consumption of femtocell networks has become a serious environmental issue. Therefore, energy-efficient protocols are needed to balance the trade-off…

Networking and Internet Architecture · Computer Science 2015-08-07 Ying Wang , Xiangming Dai , Jason Min Wang , Brahim Bensaou

The inclusion of a fragmentation mechanism in population balance equations introduces complex interactions that make the analytical or even computational treatment much more difficult than for the pure aggregation case. This is specially…

Disordered Systems and Neural Networks · Physics 2022-03-14 Arturo Berrones-Santos , Luis Benavides-Vázquez , Elisa Schaeffer , Javier Almaguer

In this paper, we present a bit stream feature based energy model that accurately estimates the energy required to decode a given HEVC-coded bit stream. Therefore, we take a model from literature and extend it by explicitly modeling the…

Image and Video Processing · Electrical Eng. & Systems 2022-03-02 Christian Herglotz , Dominic Springer , Marc Reichenbach , Benno Stabernack , André Kaup

Consider $n$ mobile sensors placed independently at random with the uniform distribution on a barrier represented as the unit line segment $[0,1]$. The sensors have identical sensing radius, say $r$. When a sensor is displaced on the line a…

Data Structures and Algorithms · Computer Science 2016-06-23 Rafał Kapelko , Evangelos Kranakis

The fragmentation of thermalized sources is studied using a version of the Statistical Multifragmentation Model which employs state densities that take the pairing gap in the nuclear levels into account. Attention is focused on the…

We formulate and solve the energy minimization problem for a clustered device-to-device (D2D) network with cache-enabled mobile devices. Devices are distributed according to a Poisson cluster process (PCP) and are assumed to have a surplus…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-10 Ramy Amer , M. Majid Butt , Hesham ElSawy , Mehdi Bennis , Jacek Kibiłda , Nicola Marchetti

We study a Markovian model for the random fragmentation of an object. At each time, the state consists of a collection of blocks. Each block waits an exponential amount of time with parameter given by its size to some power $\alpha$,…

Probability · Mathematics 2016-08-11 Christina Goldschmidt , Bénédicte Haas

In this paper, we consider the mobile edge offloading scenario consisting of one mobile device (MD) with multiple independent tasks and various remote edge devices. In order to save energy, the user's device can offload the tasks to…

Signal Processing · Electrical Eng. & Systems 2019-10-11 Minh Hoang Ly , Thinh Quang Dinh , Ha Hoang Kha

Motivated by the occurrence of "shattering" mass-loss observed in purely continuous fragmentation models, this work concerns the development and the mathematical analysis of a new class of hybrid discrete--continuous fragmentation models.…

Analysis of PDEs · Mathematics 2018-04-12 Graham Baird , Endre Süli

Minimal fragmentation models intend to unveil the statistical properties of large ensembles of identical objects, each one segmented in {\it two} parts only. Contrary to what happens in the multifragmentation of a single body, minimally…

Statistical Mechanics · Physics 2015-06-19 Laercio Dias , Fernando Parisio

We consider the problem of scheduling multiprocessor jobs to minimize the total completion time under the given energy budget. Each multiprocessor job requires more than one processor at the same moment of time. Processors may operate at…

Optimization and Control · Mathematics 2021-07-22 Alexander Kononov , Yulia Kovalenko

Scientific research in many fields routinely requires the analysis of large datasets, and scientists often employ workflow systems to leverage clusters of computers for their data analysis. However, due to their size and scale, these…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-05 Lauritz Thamsen , Yehia Elkhatib , Paul Harvey , Syed Waqar Nabi , Jeremy Singer , Wim Vanderbauwhede

We introduce a mean-field framework for the study of systems of interacting particles sharing a conserved quantity. The work generalises and unites the existing fields of asset-exchange models, often applied to socio-economic systems, and…

Physics and Society · Physics 2021-06-14 Dominic T Robson , Andreas CW Baas , Alessia Annibale

The problem of attaining energy efficiency in distributed systems is of importance, but a general, non-domain-specific theory of energy-minimal scheduling is far from developed. In this paper, we classify the problems of energy-minimal…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-10 Pragati Agrawal , Shrisha Rao

Motivated by issues of saving energy in data centers we define a collection of new problems referred to as "machine activation" problems. The central framework we introduce considers a collection of $m$ machines (unrelated or related) with…

Data Structures and Algorithms · Computer Science 2009-12-08 Samir Kuller , Jian Li , Barna Saha

In this work, we consider the downlink of a single-cell multi-user multiple-input multiple-output system in which zero-forcing precoding is used at the base station (BS) to serve a certain number of user equipments (UEs). A fixed data rate…

Information Theory · Computer Science 2016-11-18 Luca Sanguinetti , Aris Moustakas , Emil Bjornson , Merouane Debbah

The industrial drying process consumes approximately 12% of the total energy used in manufacturing, with the potential for a 40% reduction in energy usage through improved process controls and the development of new drying technologies. To…

Systems and Control · Electrical Eng. & Systems 2023-04-06 Alisina Bayati , Amber Srivastava , Amir Malvandi , Hao Feng , Srinivasa Salapaka

Nuclear fission presents a unique example of quantum entanglement in strongly interacting many-body systems. A heavy nucleus can split into hundreds of combinations of two complementary fragments in the fission process. The entanglement of…

Nuclear Theory · Physics 2024-08-15 Yu Qiang , Junchen Pei , Kyle Godbey

We study the statistics of the dissipated energy in the two-dimensional random fuse model for fracture under different imposed strain conditions. By means of extensive numerical simulations we compare different ways to compute the…

Statistical Mechanics · Physics 2009-11-13 Clara B. Picallo , Juan M. Lopez

At molecular scales, fluctuations play a significant role and prevent biomolecular processes from always proceeding in a preferred direction, raising the question of how limited amounts of free energy can be dissipated to obtain directed…

Statistical Mechanics · Physics 2016-10-05 Aidan I. Brown , David A. Sivak