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This paper considers the queueing performance of a system that transmits coded data over a time-varying erasure channel. In our model, the queue length and channel state together form a Markov chain that depends on the system parameters.…

Information Theory · Computer Science 2021-03-26 Parimal Parag , Jean-Francois Chamberland , Henry D. Pfister , Krishna R. Narayanan

Elasticity is one of key features of cloud computing. Elasticity allows Software as a Service (SaaS) applications' provider to reduce cost of running applications. In large SaaS applications that are developed using service-oriented…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-07 Ashraf A. Shahin

Demand for studying queueing systems with multiple servers providing correlated services was created about 60 years ago, motivated by various applications. In recent years, the importance of such studies has been significantly increased,…

Probability · Mathematics 2026-04-16 Suman Thapa , Yiqiang Q. Zhao

Use-case-specific network slicing in decentralized multi-tenancy cloud environments is a promising approach to bridge the gap between the demand and supply of resources in next-generation communication networks. Our findings associate…

Networking and Internet Architecture · Computer Science 2024-05-20 Anthony Kiggundu , Bin Han , Dennis Krummacker , Hans D. Schotten

Queueing networks are systems of theoretical interest that find widespread use in the performance evaluation of interconnected resources. In comparison to counterpart models in genetics or mathematical biology, the stochastic (jump)…

Methodology · Statistics 2019-06-28 Iker Perez , Giuliano Casale

The bike sharing systems are fast increasing as a public transport mode in urban short trips, and have been developed in many major cities around the world. A major challenge in the study of bike sharing systems is that large-scale and…

Probability · Mathematics 2016-12-05 Quan-Lin Li , Chang Chen , Rui-Na Fan , Liang Xu , Jing-Yu Ma

Research interest in Grid computing has grown significantly over the past five years. Management of distributed resources is one of the key issues in Grid computing. Central to management of resources is the effectiveness of resource…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Rajiv Ranjan , Aaron Harwood , Rajkumar Buyya

Consider the problem of a multiple access channel in a time dependent environment with a large number of users. In such a system, mostly due to practical constraints (e.g., decoding complexity), not all users can be scheduled together, and…

Information Theory · Computer Science 2018-11-07 Ori Shmuel , Asaf Cohen , Omer Gurewitz

Tandem queueing systems are widely-used stochastic models that arise from many real-life service operations systems. Motivated by the desire to understand the trade-off between the performance and complexity of policies for…

Optimization and Control · Mathematics 2018-04-25 Tonghoon Suk , Xinchang Wang

In the study of large scale stochastic networks with resource management, differential equations and mean-field limits are two key techniques. Recent research shows that the expected fraction vector (that is, the tailed probability vector)…

Probability · Mathematics 2013-05-27 Quan-Lin Li

The parallel execution of requests in a Cloud Computing platform, as for Virtualized Network Functions, is modeled by an $M^{[X]}/M/1$ Processor-Sharing (PS) system, where each request is seen as a batch of unit jobs. The performance of…

Performance · Computer Science 2019-04-12 Fabrice Guillemin , Veronica Quintuna Rodriguez , Alain Simonian

Quantum computers are not yet up to the task of providing computational advantages for practical stochastic diffusion models commonly used by financial analysts. In this paper we introduce a class of stochastic processes that are both…

Quantum Physics · Physics 2023-11-03 Eric Ghysels , Jack Morgan , Hamed Mohammadbagherpoor

Closed queuing networks with finite capacity buffers and skip-over policies are fundamental models in the performance evaluation of computer and communication systems. This technical report presents the details of computational algorithms…

Performance · Computer Science 2024-09-13 Gianfranco Balbo , Andrea Marin , Diletta Olliaro , Matteo Sereno

The accelerated development in Grid and peer-to-peer computing has positioned them as promising next generation computing platforms. They enable the creation of Virtual Enterprises (VE) for sharing resources distributed across the world.…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Rajkumar Buyya , Heinz Stockinger , Jonathan Giddy , David Abrams

We study the accumulation of resources within a target due to the interplay between continual delivery, driven by 1D stochastic search processes, and sequential consumption. The assumption of sequential consumption is key because it changes…

Statistical Mechanics · Physics 2025-08-27 José Giral-Barajas , Paul C Bressloff

We introduce a rate balance principle for general (not necessarily Markovian) stochastic processes. Special attention is given to processes with birth and death like transitions, for which it is shown that for any state $i$, the rate of two…

Probability · Mathematics 2015-10-12 Binyamin Oz , Ivo Adan , Moshe Haviv

In this paper, we propose a closed queueing network model for performance analysis of electric vehicle sharing systems with a certain number of chargers in each neighborhood. Depending on the demand distribution, we devise algorithms to…

Systems and Control · Electrical Eng. & Systems 2020-07-15 Yuntian Deng , Abhishek Gupta , Ness B. Shroff

Motivated by queueing systems with heterogeneous parallel servers, we consider a class of structured multi-dimensional Markov processes whose state space can be partitioned into two parts: a finite set of boundary states and a structured…

Probability · Mathematics 2015-10-02 Jori Selen , Ivo J. B. F. Adan , Johan S. H. van Leeuwaarden

Computational Grids, emerging as an infrastructure for next generation computing, enable the sharing, selection, and aggregation of geographically distributed resources for solving large-scale problems in science, engineering, and commerce.…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Rajkumar Buyya

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