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We consider a stochastic, dynamic job scheduling problem, formulated as a queueing control problem, in which a single server processes jobs of different types that arrive according to independent Poisson processes. The problem is defined on…

Optimization and Control · Mathematics 2025-09-09 Dongnuan Tian , Rob Shone

This article introduces a model for freeway traffic dynamics under stochastic capacity-reducing incidents, and provides insights for freeway incident management by analyzing long-time (stability) properties of the proposed model. Incidents…

Optimization and Control · Mathematics 2017-11-01 Li Jin , Saurabh Amin

We provide an approach that closely estimates an organization's cyber resources directly from vulnerability timestamps, using a non-stationary queueing framework. Traditional attack-surface metrics operate on static snapshots, ignoring the…

Cryptography and Security · Computer Science 2026-04-14 Abdullah Y. Etcibasi , Zachary Dobos , C. Emre Koksal

This report presents a novel approach to calculate volumes of trains from a set of requirements describing the transportation demands. The model presented is based on a multi commodity network flow model. The model comprises three different…

Optimization and Control · Mathematics 2021-12-20 Martin Aronsson , Tomas Lidén

We present a broad literature survey of parameter and state estimation for queueing systems. Our approach is based on various inference activities, queueing models, observations schemes, and statistical methods. We categorize these into…

Methodology · Statistics 2021-01-01 Azam Asanjarani , Yoni Nazarathy , Peter Taylor

We introduce a rigorous framework for stochastic cell transmission models for general traffic networks. The performance of traffic systems is evaluated based on preference functionals and acceptable designs. The numerical implementation…

Machine Learning · Computer Science 2023-04-25 Zachary Feinstein , Marcel Kleiber , Stefan Weber

In the setting of a recently developed cellular stochastic traffic flow model, it has shown that the joint per-cell vehicle densities, as a function of time, can be accurately approximated by a Gaussian process, which has the attractive…

Optimization and Control · Mathematics 2020-07-16 Michel Mandjes , Jaap Storm

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

We study how the choice of packet scheduling algorithms influences end-to-end performance on long network paths. Taking a network calculus approach, we consider both deterministic and statistical performance metrics. A key enabling…

Networking and Internet Architecture · Computer Science 2011-01-07 Yashar Ghiassi-Farrokhfal , Jorg Liebeherr , Almut Burchard

We investigate the stochastic transfer synchronization problem, which seeks to synchronize the timetables of different routes in a transit network to reduce transfer waiting times, delay times, and unnecessary in-vehicle times. We present a…

Optimization and Control · Mathematics 2024-03-06 Zahra Ansarilari , Merve Bodur , Amer Shalaby

Well-designed queuing systems form the backbone of modern communications, distributed computing, and content delivery architectures. Designs balancing infrastructure costs and user experience indices require tools from teletraffic theory…

Information Theory · Computer Science 2019-07-23 Srujan Teja Thomdapu , Ketan Rajawat

Information-driven networks include a large category of networking systems, where network nodes are aware of information delivered and thus can not only forward data packets but may also perform information processing. In many situations,…

Performance · Computer Science 2008-11-25 Kui Wu , Yuming Jiang , Guoqiang Hu

Stochastic network calculus is a theory for stochastic service guarantee analysis of computer communication networks. In the current stochastic network calculus literature, its traffic and server models are typically based on the cumulative…

Networking and Internet Architecture · Computer Science 2009-06-11 J. Xie , Y. Jiang

We use simulation to compare different power flow models in the process of charging electric vehicles (EVs) by considering their random arrivals, their stochastic demand for energy at charging stations, and the characteristics of the…

Optimization and Control · Mathematics 2022-12-08 M. H. M. Christianen , M. Vlasiou , B. Zwart

In this paper we analyze an $M/M/1$ queueing system with an arbitrary number of customer classes, with class-dependent exponential service rates and preemptive priorities between classes. The queuing system can be described by a…

Probability · Mathematics 2015-11-13 Andrei Sleptchenko , Jori Selen , Ivo Adan , Geert-Jan van Houtum

We develop a robust queueing network analyzer algorithm to approximate the steady-state performance of a single-class open queueing network of single-server queues with Markovian routing. The algorithm allows non-renewal external arrival…

Probability · Mathematics 2020-03-26 Ward Whitt , Wei You

This paper addresses distributed parameter estimation in stochastic dynamic systems with quantized measurements, constrained by quantized communication and Markovian switching directed topologies. To enable accurate recovery of the original…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Ying Wang , Jian Guo , Yanlong Zhao , Ji-feng Zhang

We develop accurate approximations of the delay distribution of the MArP/G/1 queue that cap- ture the exact tail behavior and provide bounded relative errors. Motivated by statistical analysis, we consider the service times as a mixture of…

Probability · Mathematics 2014-05-21 Eleni Vatamidou , Ivo J. B. F. Adan , Maria Vlasiou , Bert Zwart

With the steady increase in global logistics and freight transport demand, the need for efficient and sustainable intermodal transport systems becomes increasingly important. This study addresses the optimization of container movement by…

Optimization and Control · Mathematics 2025-08-22 Jeremiah Gbadegoye , Mustafa C. Camur , Xueping Li

The models studied in the steady state involve two queues which are served either by a single server whose speed depends on the number of jobs present, or by several parallel servers whose number may be controlled dynamically. Job service…

Performance · Computer Science 2021-12-03 Andrea Marin , Isi Mitrani