Layered queueing network
View article: Analysis of Queues: Methods and Applications
Analysis of Queues: Methods and Applications Open
Introduction Analysis of Queues: Where, What, and How?Systems Analysis: Key ResultsQueueing Fundamentals and Notations Psychology in Queueing Reference Notes Exercises Exponential Interarrival and Service Times: Closed-Form Expressions Sol…
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Queueing Models for Cognitive Radio Networks: A Survey Open
Cognitive radio networks (CRNs) are an emerging paradigm for next generation wireless \ncommunication systems allowing for more ef cient radio spectrum utilization. In order to harness the full \npotential that CRNs may offer, many challen…
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Protection Degree and Migration in the Stochastic SIRS Model: A Queueing System Perspective Open
With the prevalence of COVID-19, the modeling of epidemic propagation and its\nanalyses have played a significant role in controlling epidemics. However,\nindividual behaviors, in particular the self-protection and migration, which\nhave a…
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A Time-Non-Homogeneous Double-Ended Queue with Failures and Repairs and Its Continuous Approximation Open
We consider a time-non-homogeneous double-ended queue subject to catastrophes and repairs. The catastrophes occur according to a non-homogeneous Poisson process and lead the system into a state of failure. Instantaneously, the system is pu…
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Queues with Dropping Functions and General Arrival Processes Open
In a queueing system with the dropping function the arriving customer can be denied service (dropped) with the probability that is a function of the queue length at the time of arrival of this customer. The potential applicability of such …
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Bounds on the rate of convergence for one class of inhomogeneous Markovian queueing models with possible batch arrivals and services Open
In this paper we present a method for the computation of convergence bounds for four classes of multiserver queueing systems, described by inhomogeneous Markov chains. Specifically, we consider an inhomogeneous M/M/S queueing system with p…
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Queueing Theory Based Vehicular Traffic Management System Through Jackson Network Model and Optimization Open
Traffic congestion is increasing in over populated urban areas, our traditional traffic management system can no longer solve this problem. However, this problem can be solved by converting our road networks into queueing networks. This pa…
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Markov Processes in Blockchain Systems Open
In this paper, we develop a more general framework of block-structured Markov processes in the queueing study of blockchain systems, which can provide analysis both for the stationary performance measures and for the sojourn times of any t…
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Moment Generating Function of Age of Information in Multisource M/G/1/1 Queueing Systems Open
We consider a multi-source status update system, where each source generates status update packets according to a Poisson process which are then served according to a generally distributed service time. For this multi-source M/G/1/1 queuei…
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The impact of time limitation: Insights from a queueing experiment Open
We experimentally explore the effects of time limitation on decision making. Under different time allowance conditions, subjects are presented with a queueing situation and asked to join one of the two given queues. The results can be grou…
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Performance Analysis and Optimal Allocation of Layered Defense M/M/N Queueing Systems Open
One important mission of strategic defense is to develop an integrated layered Ballistic Missile Defense System (BMDS). Motivated by the queueing theory, we presented a work for the representation, modeling, performance simulation, and cha…
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Performance analysis of quantum channels Open
We study the quality of service in quantum channels. We regard the quantum channel as a queueing system, and present queueing analysis of both the classical information transmission and quantum information transmission in the quantum chann…
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Convolution Model of a Queueing System with the cFIFO Service Discipline Open
This article presents an approximate convolution model of a multiservice queueing system with the continuous FIFO (cFIFO) service discipline. The model makes it possible to service calls sequentially with variable bit rate, determined by u…
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A Uniformization Approach for the Dynamic Control of Queueing Systems with Abandonments Open
We consider queueing systems with general abandonment. Abandonment times are approximated by a particular Cox distribution with all phase exponential rates being the same. We prove that this distribution arbitrarily closely approximates an…
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A Bayesian Approach to Parameter Inference in Queueing Networks Open
The application of queueing network models to real-world applications often involves the task of estimating the service demand placed by requests at queueing nodes. In this article, we propose a methodology to estimate service demands in c…
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Modelling deadlock in open restricted queueing networks Open
Open restricted queueing networks give rise to the phenomenon of deadlock, whereby some customers may be unable to ever leave a server due to mutual blocking. This paper explores deadlock in queueing networks with limited queueing capacity…
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Stochastic network link transmission model Open
This article considers the stochastic modeling of vehicular network flows, including the analytical approximation of joint queue-length distributions. The article presents two main methodological contributions. First, it proposes a tractab…
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Algorithmic Analysis of Finite-Source Multi-Server Heterogeneous Queueing Systems Open
The paper deals with a finite-source queueing system serving one class of customers and consisting of heterogeneous servers with unequal service intensities and of one common queue. The main model has a non-preemptive service when the cust…
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Queueing analysis for operations modeling in port logistics Open
Purpose The use of queueing network models was stimulated by the appearance (1975) of the exact product form solution of a class of open, closed and mixed queueing networks obeying the local balance principle and solved, a few years later,…
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Zero Queueing for Multi-Server Jobs Open
Cloud computing today is dominated by multi-server jobs. These are jobs that request multiple servers simultaneously and hold onto all of these servers for the duration of the job. Multi-server jobs add a lot of complexity to the tradition…
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Network Disruptions and Ripple Effects: Queueing Model, Simulation, and Data Analysis of Port Congestion Open
Disruptions often happen to ports and cause varying degrees of port congestion. This study employs a queueing model to investigate network disruption and the resultant ripple effects in the global transportation system. We first propose an…
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Queueing Theory-Based Mathematical Models Applied to Enterprise Organization and Industrial Production Optimization Open
In the paper, a new method was presented using queueing theory models in order to ensure an optimal production department size, optimized production costs and optimal provision. Queueing/waiting mathematical models represent the developmen…
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Improving the mean-field fluid model of processor sharing queueing networks for dynamic performance models in cloud computing Open
Resource management in cloud computing is a difficult problem, as one is often tasked with balancing between adequate service to clients and cost minimization in dynamic environments of many interconnected components. To make correct decis…
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RL-QN: A Reinforcement Learning Framework for Optimal Control of Queueing Systems Open
With the rapid advance of information technology, network systems have become increasingly complex and hence the underlying system dynamics are often unknown or difficult to characterize. Finding a good network control policy is of signifi…
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Stochastic modeling of multiple-server charging stations for electric vehicle networks using feedback strategies: A queueing-theoretic approach Open
Nowadays, electric vehicles (EVs) significantly affect transportation as they provide a more environmentally friendly alternative to traditional fossil-fueled automobiles. Electric vehicles, which depend on energy stored in batteries, sign…
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Performance evaluation of software‐defined wide area network based on queueing theory Open
Software‐defined wide area network (SD‐WAN) is part of wider technologies of software‐defined networking (SDN). SDN is one of the pivotal network management approaches that abstracts the underlying network infrastructure away from its appl…
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On the structure and solutions of functional equations arising from queueing models Open
It is a survey on functional equations of a certain type, for functions in two complex variables, which often arise in queueing models. They share a common pattern despite their apparently different forms. In particular, they invariably ch…
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Analysis of a Discrete-Time Queueing Model with Disasters Open
Queueing models with disasters can be used to evaluate the impact of a breakdown or a system reset in a service facility. In this paper, we consider a discrete-time single-server queueing system with general independent arrivals and genera…
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Hierarchical Multiresource Fair Queueing for Packet Processing Open
Various middleboxes are ubiquitously deployed in networks to perform packet\nprocessing functions, such as firewalling, proxy, scheduling, etc., for the\nflows passing through them. With the explosion of network traffic and the\ndemand for…
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Equilibrium in a Queueing System with Retrials Open
We find an equilibrium in a single-server queueing system with retrials and strategic timing of the customers. We consider a set of customers, each of which must decide when to arrive to a queueing system during a fixed period of time. In …