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By integrating edge computing with parallel computing, distributed edge computing (DEC) makes use of distributed devices in edge networks to perform computing in parallel, which can substantially reduce service delays. In this paper, we…

Networking and Internet Architecture · Computer Science 2020-02-10 Xiaowen Gong

In this paper we consider a real time queuing system with rewards and deadlines. We assume that packet processing time is known upon arrival, as is the case in communication networks. This assumption allows us to demonstrate that the well…

Performance · Computer Science 2018-08-24 Li-on Raviv , Amir Leshem

For online resource allocation problems, we propose a new demand arrival model where the sequence of arrivals contains both an adversarial component and a stochastic one. Our model requires no demand forecasting; however, due to the…

Data Structures and Algorithms · Computer Science 2018-10-02 Dawsen Hwang , Patrick Jaillet , Vahideh Manshadi

Cloud computing is emerging as an important platform for business, personal and mobile computing applications. In this paper, we study a stochastic model of cloud computing, where jobs arrive according to a stochastic process and request…

Performance · Computer Science 2012-06-07 Siva Theja Maguluri , R Srikant , Lei Ying

We consider stability and network capacity in discrete time queueing systems. Relationships between four common notions of stability are described. Specifically, we consider rate stability, mean rate stability, steady state stability, and…

Networking and Internet Architecture · Computer Science 2010-03-18 Michael J. Neely

We present a heavy traffic analysis for a single server queue with renewal arrivals and generally distributed i.i.d. service times, in which the server employs the Shortest Remaining Processing Time (SRPT) policy. Under typical heavy…

Probability · Mathematics 2012-10-04 H. Christian Gromoll , Łukasz Kruk , Amber L. Puha

We consider a switched network, a fairly general constrained queueing network model that has been used successfully to model the detailed packet-level dynamics in communication networks, such as input-queued switches and wireless networks.…

Networking and Internet Architecture · Computer Science 2010-04-01 Devavrat Shah , John N. Tsitsiklis , Yuan Zhong

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

To support reliable and low-latency communication, Time-Sensitive Networking introduced protocols and interfaces for resource allocation in Ethernet. However, the implementation of these allocation algorithms has not yet been covered by the…

Networking and Internet Architecture · Computer Science 2025-08-27 Lisa Maile , Kai-Steffen Hielscher , Reinhard German

Efficient allocation of finite resources is a crucial problem in a wide variety of on-demand smart city applications. Service requests often appear randomly over time and space with varying intensity. Resource provisioning decisions need to…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Muhammad Junaid Farooq , Quanyan Zhu

Load balancing plays a critical role in efficiently dispatching jobs in parallel-server systems such as cloud networks and data centers. A fundamental challenge in the design of load balancing algorithms is to achieve an optimal trade-off…

Performance · Computer Science 2020-12-16 Mark van der Boor , Sem Borst , Johan van Leeuwaarden

This paper studies optimal switching on and o? of the entire service capacity of an M/M/Infinity queue with holding, running and switching costs where the running costs depend only on whether the system is running or not. The goal is to…

Optimization and Control · Mathematics 2015-10-21 Eugene Feinberg , Xiaoxuan Zhang

In discrete time, customers arrive at random. Each waits until one of three servers is available; each thereafter departs at random. We seek the distribution of maximum line length of idle customers. Algebraic expressions obtained for the…

History and Overview · Mathematics 2022-08-30 Steven Finch

We consider the problem of rate allocation in a fading Gaussian multiple-access channel with fixed transmission powers. The goal is to maximize a general concave utility function of the expected achieved rates of the users. There are…

Information Theory · Computer Science 2008-10-08 Ali ParandehGheibi , Muriel Medard , Asuman Ozdaglar , Atilla Eryilmaz

We consider energy minimization for data-intensive applications run on large number of servers, for given performance guarantees. We consider a system, where each incoming application is sent to a set of servers, and is considered to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-19 Ajay Badita , Rooji Jinan , Balajee Vamanan , Parimal Parag

The problem of exact evaluation of the mean service cycle time in tandem systems of single-server queues with both infinite and finite buffers is considered. It is assumed that the interarrival and service times of customers form sequences…

Optimization and Control · Mathematics 2012-12-24 N. K. Krivulin , V. B. Nevzorov

We consider a discrete population of users with homogeneous service demand who need to decide when to arrive to a system in which the service rate deteriorates linearly with the number of users in the system. The users have heterogeneous…

Computer Science and Game Theory · Computer Science 2016-05-30 Liron Ravner , Moshe Haviv , Hai L. Vu

We consider a single server queueing system with two classes of jobs: eager jobs with small sizes that require service to begin almost immediately upon arrival, and tolerant jobs with larger sizes that can wait for service. While blocking…

Performance · Computer Science 2021-12-24 Kiran Chaudhary , Veeraruna Kavitha , Jayakrishnan Nair

Resource limited user-devices may offload computation to a cloud server, in order to reduce power consumption and lower the execution time. However, to communicate to the cloud server over a wireless channel, additional energy is consumed…

Signal Processing · Electrical Eng. & Systems 2018-12-04 Shreya Tayade , Peter Rost , Andreas Maeder , Hans D. Schotten

Given a random variable $N$ with values in ${\mathbb{N}}$, and $N$ i.i.d. positive random variables $\{\mu_k\}$, we consider a queue with renewal arrivals and $N$ exponential servers, where server $k$ serves at rate $\mu_k$, under two work…

Probability · Mathematics 2008-08-22 Rami Atar