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A many-server queueing system is considered in which customers arrive according to a renewal process and have service and patience times that are drawn from two independent sequences of independent, identically distributed random variables.…

Probability · Mathematics 2012-04-30 Weining Kang , Kavita Ramanan

We consider a Markovian load balancing model on a fully-connected network, where calls have Poisson arrivals and exponential durations. The endpoints of each call are uniform over all the links of the network. Each call is routed either…

Probability · Mathematics 2013-06-24 Malwina Luczak

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

Probability · Mathematics 2014-08-04 Marko Boon , Rob van der Mei , Erik Winands

Network coding is an effective idea to boost the capacity of wireless networks, and a variety of studies have explored its advantages in different scenarios. However, there is not much analytical study on throughput and end-to-end delay of…

Networking and Internet Architecture · Computer Science 2018-01-09 Somayeh Kafaie , Mohamed Hossam Ahmed , Yuanzhu Chen , Octavia A. Dobre

This paper considers the mean waiting times in discrete-time preemptive-resume and nonpreemptive priority single-server queues fed by K independent batch Markovian arrival streams with geometrically distributed idle periods. While being…

Probability · Mathematics 2026-04-28 Tetsuya Takine

We iteratively derive the product-form solutions of stationary distributions of priority multiclass queueing networks with multi-sever stations. The networks are Markovian with exponential interarrival and service time distributions. These…

Probability · Mathematics 2015-09-03 Wanyang Dai

Motivated by the growing interest in today's massive parallel computing capabilities we analyze a queueing network with many servers in parallel to which jobs arrive a according to a Poisson process. Each job, upon arrival, is split into…

Probability · Mathematics 2015-07-20 Mariana Olvera-Cravioto , Octavio Ruiz-Lacedelli

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 queueing system with $n$ parallel queues operating according to the so-called "supermarket model" in which arriving customers join the shortest of $d$ randomly selected queues. Assuming rate $n\lambda_{n}$ Poisson arrivals and…

Probability · Mathematics 2017-01-19 Patrick Eschenfeldt , David Gamarnik

To perform a queuing analysis or design in a communications context, we need to estimate the values of the input parameters, specifically the mean of the arrival rate and service time. In this paper, we propose an approach for estimating…

Applications · Statistics 2008-02-26 Xinjia Chen

We consider the problem of simultaneous scheduling and resource allocation of an incoming flow of requests to a set of computing units. By representing each computing unit as a node, we model the overall system as a multi-queue scheme.…

Systems and Control · Electrical Eng. & Systems 2021-09-07 Eleftherios Vlahakis , Nikolaos Athanasopoulos , Sean McLoone

In this thesis work, a QoS model for real-time interactive traffic on a real network with constrained bandwidth and real-time traffic has been proposed. The model supports tight guarantees of QoS to real-time interactive traffic without…

Networking and Internet Architecture · Computer Science 2012-05-16 Sruti Gan Chaudhuri

This note introduces a piecewise-deterministic queueing (PDQ) model to study the stability of traffic queues in parallel-link transportation systems facing stochastic capacity fluctuations. The saturation rate (capacity) of the PDQ model…

Optimization and Control · Mathematics 2018-02-19 Li Jin , Saurabh Amin

We consider a distributed cloud service deployed at a set of distinct server pools. Arriving jobs are classified into heterogeneous types, in accordance with their setup times which are differentiated at each of the pools. A dispatcher for…

Systems and Control · Electrical Eng. & Systems 2025-08-14 Fernando Paganini , Diego Goldsztajn

In this paper, we present a stability criterion for Processor Sharing queues, in which the throughput may depend on the number of customers in the system (in such cases such as interferences between the users). Such a system is represented…

Probability · Mathematics 2008-03-18 Pascal Moyal

We consider a stochastic fluid queue served by a constant rate server and driven by a process which is the local time of a certain Markov process. Such a stochastic system can be used as a model in a priority service system, especially when…

Probability · Mathematics 2007-09-11 Takis Konstantopoulos , Andreas Kyprianou , Marina Sirvio , Paavo Salminen

We examine a queue-based random-access algorithm where activation and deactivation rates are adapted as functions of queue lengths. We establish its heavy traffic behavior on a complete interference graph, which turns out to be highly…

Probability · Mathematics 2021-06-08 Eyal Castiel , Sem Borst , Laurent Miclo , Florian Simatos , Philip Whiting

Till today we dreamt of imperceptible delay in a network. The computer science research grows today faster than ever offering more and more services (computational representational, graphical, intelligent implication etc) to its user. But…

Networking and Internet Architecture · Computer Science 2011-10-18 Soumen Kanrar , M Siraj

Performance evaluation of the routing node in terms of latency is the characteristics of an efficient design of Buffer in input module. It is intended to study and quantify the behavior of the single packet array design in relation to the…

Hardware Architecture · Computer Science 2013-02-19 Nilesh A. Mohota , Sanjay L. Badjate

We consider a dynamic server allocation problem over parallel queues with randomly varying connectivity and server switchover delay between the queues. At each time slot the server decides either to stay with the current queue or switch to…

Optimization and Control · Mathematics 2012-03-06 Güner D. Celik , Long B. Le , Eytan Modiano