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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…

Probability · Mathematics 2014-09-11 Marko Boon , Rob van der Mei , Erik Winands

Understanding how delayed information impacts queueing systems is an important area of research. However, much of the current literature neglects one important feature of many queueing systems, namely non-stationary arrivals. Non-stationary…

Dynamical Systems · Mathematics 2017-01-20 Jamol Pender , Richard H. Rand , Elizabeth Wesson

We study a new modification of the Arrival problem, which allows for nodes that exhibit random as well as controlled behaviour, in addition to switching nodes. We study the computational complexity of these extensions, building on existing…

Computational Complexity · Computer Science 2024-09-17 Thomas Webster

Passenger waiting time prediction plays a critical role in enhancing both ridesharing user experience and platform efficiency. While most existing research focuses on post-request waiting time prediction with knowing the matched driver…

Artificial Intelligence · Computer Science 2025-08-13 Jie Wang , Guang Wang

We consider the problem of designing risk-sensitive optimal control policies for scheduling packet transmissions in a stochastic wireless network. A single client is connected to an access point (AP) through a wireless channel. Packet…

Systems and Control · Computer Science 2017-09-11 Rahul Singh , Xueying Guo , Eytan Modiano

We consider a discrete population of users with homogeneous service demand who need to decide when to arrive to a system in which the service rate deteriorates linearly with the number of users in the system. The users have heterogeneous…

Computer Science and Game Theory · Computer Science 2016-05-30 Liron Ravner , Moshe Haviv , Hai L. Vu

Performance modeling is a key issue in queuing theory and operation research. It is well-known that the length of a queue that awaits service or the time spent by a job in a queue depends not only on the service rate, but also crucially on…

Statistical Mechanics · Physics 2024-04-16 Reshmi Roy , Arup Biswas , Arnab Pal

We consider a two station cascade system in which waiting or externally arriving customers at station $1$ move to the station $2$ if the queue size of station $1$ including a customer being served is greater than a given threshold level…

Probability · Mathematics 2023-07-13 Masakiyo Miyazawa , Evsey Morozov

This study investigates how the layout and seat density in aircraft cabins influence the pricing of airline tickets on domestic flights. The analysis is based on microdata from boarding passes linked to face-to-face interviews with…

General Economics · Economics 2025-12-02 Alessandro V. M. Oliveira , Moises D. Vassallo

Autonomated vehicles (AVs) are expected to have a profound impact on society, with high expectations for their potential benefits. One key anticipated benefit is the reduction of traffic congestion and stop-and-go waves, which negatively…

Physics and Society · Physics 2025-04-08 Raphael Korbmacher , Parthib Khound , Antoine Tordeux

We consider the $N$-model queueing system with a waiting time dependent threshold on the diagonal: the service discipline is First--Come--First--Served, but type-1 jobs can only be served by server 2 if their waiting time exceeds a…

Probability · Mathematics 2025-11-17 Sanne van Kempen , Elene Anton , Fiona Sloothaak

Conditionally automated driving systems require human drivers to disengage from non-driving-related activities and resume vehicle control within limited time budgets when encountering scenarios beyond system capabilities. Ensuring safe and…

Human-Computer Interaction · Computer Science 2025-07-31 Kexin Liang , Simeon C. Calvert , J. W. C. van Lint

We consider a one-dimensional stochastic reaction-diffusion generalizing the totally asymmetric simple exclusion process, and aiming at describing single lane roads with vehicles that can change speed. To each particle is associated a jump…

Statistical Mechanics · Physics 2011-09-09 Cyril Furtlehner , Jean-Marc Lasgouttes

One of the basic properties of a queueing network is stability. Roughly speaking, it is the property that the total number of jobs in the network remains bounded as a function of time. One of the key questions related to the stability issue…

Probability · Mathematics 2009-11-19 David Gamarnik , Dmitriy Katz

This paper studies a discrete model of a large dam where the difference between lower and upper levels, $L$, is assumed to be large. Passage across the levels leads to damage, and the damage costs of crossing the lower or upper level are…

Probability · Mathematics 2018-11-09 Vyacheslav M. Abramov

Retailers use a variety of mechanisms to enable sales and delivery. A relatively new offering by companies is curbside pickup where customers purchase goods online, schedule a pickup time, and come to a pickup facility to receive their…

Optimization and Control · Mathematics 2020-05-27 Bahar Çavdar , Tuğçe Işık

Booking control problems are sequential decision-making problems that occur in the domain of revenue management. More precisely, freight booking control focuses on the problem of deciding to accept or reject bookings: given a limited…

Optimization and Control · Mathematics 2023-04-06 Justin Dumouchelle , Emma Frejinger , Andrea Lodi

This paper analyzes a service system modeled as a single-server queue, in which the service provider aims to dynamically maximize the expected revenue per unit of time. This is achieved by constructing a stochastic gradient descent…

Optimization and Control · Mathematics 2026-03-05 Shreehari Anand Bodas , Harsha Honnappa , Michel Mandjes , Liron Ravner

The culture of sharing instead of ownership is sharply increasing in individuals behaviors. Particularly in transportation, concepts of sharing a ride in either carpooling or ridesharing have been recently adopted. An efficient optimization…

Social and Information Networks · Computer Science 2018-01-25 Pooyan Ehsani , Jia Yuan Yu

Assigning passenger trips to specific network paths using automatic fare collection (AFC) data is a fundamental application in urban transit analysis. The task is a difficult inverse problem: the only available information consists of each…

Applications · Statistics 2025-07-31 Xiaoxu Chen , Alexandra M. Schmidt , Zhenliang Ma , Lijun Sun