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This paper proposes a stochastic framework to evaluate the performance of public transit systems under short random service suspensions. We aim to derive closed-form formulations of the mean and variance of the queue length and waiting…

Probability · Mathematics 2023-01-04 Baichuan Mo , Li Jin , Haris N. Koutsopoulos , Zuo-Jun Max Shen , Jinhua Zhao

Electric vehicle (EV) public charging infrastructure planning faces significant challenges in competitive markets, where multiple service providers affect congestion and user behavior. This work extends existing modeling frameworks by…

Systems and Control · Electrical Eng. & Systems 2025-10-16 The Minh Nguyen , Nagisa Sugishita , Margarida Carvalho , Amira Dems

Recent studies indicate that in many situations service times are affected by the experienced queueing delay of the particular customer. This effect has been detected in different areas, such as health care, call centers and…

Probability · Mathematics 2025-04-25 Bernardo D'Auria , Ivo J. B. F. Adan , René Bekker , Vidyadhar Kulkarni

This paper deals with a single-server queue with modulated arrivals, service requirements and service capacity. In our first result, we derive the mean of the total workload assuming generally distributed service requirements and any…

Probability · Mathematics 2016-02-22 H. Thorsdottir , I. M. Verloop

Supermarket models with different servers become a key in modeling resource management of stochastic networks, such as, computer networks, manufacturing systems and transportation networks. While these different servers always make analysis…

Performance · Computer Science 2016-04-06 Quan-Lin Li , Feifei Yang , Na Li

In this paper one presents method for the computation of convergence bounds for four classes of multiserver queueing systems, described by inhomogeneous Markov chains. Specifically one considers inhomogeneous $M/M/S$ queueing system with…

In this paper, we consider a queue-aware distributive resource control algorithm for two-hop MIMO cooperative systems. We shall illustrate that relay buffering is an effective way to reduce the intrinsic half-duplex penalty in cooperative…

Machine Learning · Computer Science 2015-05-20 Rui Wang , Vincent K. N. Lau , Ying Cui

This paper discusses a maintenance network with failed items that can be removed, repaired, redistributed, and reused under two batch policies: one for removing the failed items from each base to a maintenance shop and the other for…

Performance · Computer Science 2022-02-15 Rui-Na Fan , Quan-Lin Li , Xiaole Wu , Zhe George Zhang

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

The paper investigates the properties of a class of resource allocation algorithms for communication networks: if a node of this network has $x$ requests to transmit, then it receives a fraction of the capacity proportional to $\log(1+x)$,…

Probability · Mathematics 2015-09-10 Philippe Robert , Amandine Véber

In this paper, we consider the number of both arrivals and departures seen by a tagged customer while in service in a classical $M/M/1$ processor sharing queue. By exploiting the underlying orthogonal structure of this queuing system…

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

This paper considers a Markov decision model for profit maximization of a cloud computing service provider catering to customers submitting jobs with firm real-time random deadlines. Customers are charged on a per-job basis, receiving a…

Optimization and Control · Mathematics 2021-04-27 José Niño-Mora

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

This self-contained discussion relates the long-run average holding cost per unit time to the long-run average response time per customer in a $G/G/1$ queue with no assumption made on the order of service. The only restriction established…

Performance · Computer Science 2021-08-18 Dylan Solms

In this paper, we introduce a scalable model for the aggregate electricity demand of a fleet of electric vehicles, which can provide the right balance between model simplicity and accuracy. The model is based on classification of tasks with…

Systems and Control · Computer Science 2013-05-03 Mahnoosh Alizadeh , George Kesidis , Anna Scaglione

Through the analysis of a dataset of ultra high frequency order book updates, we introduce a model which accommodates the empirical properties of the full order book together with the stylized facts of lower frequency financial data. To do…

Trading and Market Microstructure · Quantitative Finance 2014-09-05 Weibing Huang , Charles-Albert Lehalle , Mathieu Rosenbaum

Today's queueing network systems are more rapidly evolving and more complex than those of even a few years ago. The goal of this paper is to study customers' behavior in an unobservable Markovian M/M/1 queue where consumers have to choose…

Optimization and Control · Mathematics 2019-01-11 Tesnim Naceur , Yezekael Hayel

One of the many problems faced by current cellular network technology is the under utilization of the dedicated, licensed spectrum of network operators. An emerging paradigm to solve this issue is to allow multiple operators to share some…

Information Theory · Computer Science 2016-08-19 Tachporn Sanguanpuak , Sudarshan Guruacharya , Nandana Rajatheva , Mehdi Bennis , Matti Latva-Aho

The load-balancing system, built on the basis of a subsystem load balancer and subsystem control and monitoring that closely interact with each other was propose in work. This system is presented as a queuing system with priority service…

Networking and Internet Architecture · Computer Science 2019-05-10 Igor Ivanisenko , Tamara Radivilova

We consider the processor sharing $M/M/1$-PS queue which also models balking. A customer that arrives and sees $n$ others in the system "balks" (i.e., decides not to enter) with probability $1-b_n$. If $b_n$ is inversely proportional to…

Probability · Mathematics 2011-04-26 Qiang Zhen , Johan S. H. van Leeuwaarden , Charles Knessl