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We study randomized experiments in a service system when stochastic congestion can arise from temporarily limited supply or excess demand. Such congestion gives rise to cross-unit interference between the waiting customers, and analytic…

系统与控制 · 电气工程与系统科学 2026-02-17 Shuangning Li , Ramesh Johari , Xu Kuang , Stefan Wager

Bus bunching is ostensibly regarded as a detrimental phenomenon in bus systems. We study a bus loop with two bus stops, one regular and one spike bus stop, where bunched buses can outperform staggered buses. The spike bus stop models a bus…

物理与社会 · 物理学 2022-01-10 Luca Vismara , Vee-Liem Saw , Lock Yue Chew

This paper examines a continuous-time routing system with general interarrival and service time distributions, operating under the join-the-shortest-queue and power-of-two-choices policies. Under a weaker set of assumptions than those…

概率论 · 数学 2025-03-28 Jin Guang , Yaosheng Xu , J. G. Dai

We investigate the transient and stationary queue-length distributions of a class of service systems with correlated service times. The classical $M^X/G/1$ queue with semi-Markov service times is the most prominent example in this class and…

概率论 · 数学 2018-01-19 Abhishek , Marko Boon , Onno Boxma , Rudesindo Núñez-Queija

Queueing networks are notoriously difficult to analyze sans both Markovian and stationarity assumptions. Much of the theoretical contribution towards performance analysis of time-inhomogeneous single class queueing networks has focused on…

概率论 · 数学 2017-08-22 Harsha Honnappa , Rahul Jain

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…

最优化与控制 · 数学 2018-02-19 Li Jin , Saurabh Amin

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…

最优化与控制 · 数学 2017-11-01 Li Jin , Saurabh Amin

Performance analysis of queueing networks is one of the most challenging areas of queueing theory. Barring very specialized models such as product-form type queueing networks, there exist very few results which provide provable…

最优化与控制 · 数学 2010-09-22 Dimitris Bertsimas , David Gamarnik , Alexander Rikun

Public bus transit systems provide critical transportation services for large sections of modern communities. On-time performance and maintaining the reliable quality of service is therefore very important. Unfortunately, disruptions caused…

计算机与社会 · 计算机科学 2024-03-07 Jose Paolo Talusan , Chaeeun Han , Ayan Mukhopadhyay , Aron Laszka , Dan Freudberg , Abhishek Dubey

We consider a stationary Markov process that models certain queues with a bulk service of a fixed number $m$ of admitted customers. We find an integral expression of its transition probability function in terms of certain multi-orthogonal…

概率论 · 数学 2023-08-29 Ulises Fidalgo

In traditional priority queues, we assume that every customer upon arrival has a fixed, class-dependent priority, and that a customer may not commence service if a customer with a higher priority is present in the queue. However, in…

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…

概率论 · 数学 2017-01-19 Patrick Eschenfeldt , David Gamarnik

Tandem queues with finite buffer capacity commonly exist in practical applications. By viewing a tandem queue as an integrated system, an innovative approach has been developed to analyze its performance through the insight from reduction…

性能 · 计算机科学 2016-06-02 Kan Wu , Ning Zhao

In this work, we consider the case where a source with bursty traffic can adjust the transmission duration in order to increase the reliability. The source is equipped with a queue in order to store the arriving packets. We model the system…

信息论 · 计算机科学 2018-09-11 Nikolaos Pappas

Public transportation systems often suffer from unexpected fluctuations in demand and disruptions, such as mechanical failures and medical emergencies. These fluctuations and disruptions lead to delays and overcrowding, which are…

人工智能 · 计算机科学 2024-03-08 Chaeeun Han , Jose Paolo Talusan , Dan Freudberg , Ayan Mukhopadhyay , Abhishek Dubey , Aron Laszka

During the last decade bike sharing systems have emerged as a public transport mode in urban short trips in more than 500 major cities around the world. For the mobility service mode, many challenges from its operations are not well…

性能 · 计算机科学 2016-06-16 Quan-Lin Li , Rui-Na Fan , Jing-Yu Ma

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

概率论 · 数学 2014-09-11 Marko Boon , Rob van der Mei , Erik Winands

We introduce a multiclass single-server queueing system in which the arrival rates depend on the current job in service. The system is characterized by a matrix of arrival rates in lieu of a vector of arrival rates. Our proposed model…

概率论 · 数学 2018-08-21 Philip Ernst , Søren Asmussen , John Hasenbein

We consider a horizontal traffic queue (HTQ) on a periodic road segment, where vehicles arrive according to a spatio-temporal Poisson process, and depart after traveling a distance that is sampled independently and identically from a…

动力系统 · 数学 2016-05-25 Mohammad Motie , Ketan Savla

Public transportation systems are experiencing an increase in commuter traffic. This increase underscores the need for resilience strategies to manage unexpected service disruptions, ensuring rapid and effective responses that minimize…

人工智能 · 计算机科学 2024-09-02 Sara Jaber , Mostafa Ameli , S. M. Hassan Mahdavi , Neila Bhouri
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