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Consider an M/M/$s$ queue with the additional feature that the arrival rate is a random variable of which only the mean, variance, and range are known. Using semi-infinite linear programming and duality theory for moment problems, we…

The theory of rapid mixing random walks plays a fundamental role in the study of modern randomised algorithms. Usually, the mixing time is measured with respect to the worst initial position. It is well known that the presence of…

Probability · Mathematics 2024-01-30 Alberto Espuny Díaz , Patrick Morris , Guillem Perarnau , Oriol Serra

The effect of burstiness in complex networks has received considerable attention. In particular, its effect on temporal distance and delays in the air transportation system is significant owing to their huge impact on our society.…

Physics and Society · Physics 2017-02-08 Hidetaka Ito , Katsuhiro Nishinari

Current regulations demand that at least two exits should be available for a safe evacuation during a panic situation. Although the "faster is slower" effect is expected to take place near the exits, the evacuation time will improve because…

Physics and Society · Physics 2017-03-08 I. M. Sticco , G. A. Frank , C. O. Dorso

In practice, both passenger and cargo flights are vulnerable to unexpected factors, such as adverse weather, airport flow control, crew absence, unexpected aircraft maintenance, and pandemic, which can cause disruptions in flight schedules.…

Optimization and Control · Mathematics 2024-01-18 Shuai Wu , Enze Liu , Rui Cao , Qiang Bai

In this research, we propose a series of methodologies to mine transit riders travel pattern and behavioral preferences, and then we use these knowledges to adjust and optimize the transit systems. Contributions are: 1) To increase the data…

Signal Processing · Electrical Eng. & Systems 2020-09-08 Yongxin Liu

Understanding user's perception of service variability is essential to discern their overall perception of any type of (transport) service. We study the perception of waiting time variability for ride-hailing services. We carried out a…

Congestion is said to occur in the network when the resource demands exceed the capacity and packets are lost due to too much queuing in the network. During congestion, the network throughput may drop to zero and the path delay may become…

Networking and Internet Architecture · Computer Science 2007-05-23 R. Jain , K. Ramakrishnan

In a ride-pooling system, travellers experience discomfort associated with a detour and a longer travel time, which is compensated with a sharing discount. Most studies assume travellers receive either a flat discount or, in rare cases, a…

Computer Science and Game Theory · Computer Science 2024-11-07 Michal Bujak , Rafal Kucharski

Multiserver jobs, which are jobs that occupy multiple servers simultaneously during service, are prevalent in today's computing clusters. But little is known about the delay performance of systems with multiserver jobs. We consider queueing…

Performance · Computer Science 2023-04-17 Yige Hong , Weina Wang

Transportation companies and organizations routinely collect huge volumes of passenger transportation data. By aggregating these data (e.g., counting the number of passengers going from a place to another in every 30 minute interval), it…

Databases · Computer Science 2023-10-16 Chrysanthi Kosyfaki , Nikos Mamoulis , Reynold Cheng , Ben Kao

A common method to reduce the uncertainty of causal inferences from experiments is to assign treatments in fixed proportions within groups of similar units: blocking. Previous results indicate that one can expect substantial reductions in…

Methodology · Statistics 2015-08-31 Fredrik Sävje

This paper considers the time evolution of a queue that is embedded in a Poisson point process of moving wireless interferers. The queue is driven by an external arrival process and is subject to a time-varying service process that is a…

Information Theory · Computer Science 2021-04-14 Nithin S. Ramesan , François Baccelli

We present an adaptive control scheme to enable the emergence of order within distributed, autonomous multi-agent systems. Past studies showed that under high-density conditions, order generated from traffic-following behavior reduces…

Multiagent Systems · Computer Science 2025-06-03 Anahita Jain , Husni Idris , John-Paul Clarke , Daniel Delahaye

The volume of flight traffic gets increasing over the time, which makes the strategic traffic flow management become one of the challenging problems since it requires a lot of computational resources to model entire traffic data. On the…

Physics and Society · Physics 2021-07-28 Quan Duong , Tan Tran , Duc-Thinh Pham , An Mai

In this paper we consider a single-server polling system with switch-over times. We introduce a new service discipline, mixed gated/exhaustive service, that can be used for queues with two types of customers: high and low priority…

Probability · Mathematics 2014-08-04 Marko Boon , Ivo Adan

Based on the observation that the correlation between observed traffic at two measurement points or traffic stations may be time-varying, attributable to the time-varying speed which subsequently causes variations in the time required to…

Information Theory · Computer Science 2017-01-05 Peibo Duan , Guoqiang Mao , Shangbo Wang , Changsheng Zhang , Bin Zhang

We study the dynamics of pedestrian evacuations through a narrow doorway by means of controlled experiments. The influence of the pedestrians' behaviours is investigated by prescribing a selfish attitude to a fraction c\_s of the…

Physics and Society · Physics 2017-01-11 Alexandre Nicolas , Sebastián Bouzat , Marcelo Kuperman

We first formulate the problem of optimally scheduling air traffic low with sector capacity constraints as a mixed integer linear program. We then use semidefinite relaxation techniques to form a convex relaxation of that problem. Finally,…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Alexandre d'Aspremont , Laurent El Ghaoui

In this paper, we consider stochastic clearing systems with multiple drifted Brownian motion inputs. First, we propose an instantaneous rate policy, which is shown to be the optimal one among a large class of renewal type clearing policies…

Optimization and Control · Mathematics 2019-12-13 Bo Wei , Sila Cetinkaya , Daren B. H. Cline