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This paper studies queueing problems with an endogenous number of machines with and without an initial queue, the novelty being that coalitions not only choose how to queue, but also on how many machines. For a given problem, agents can…

Theoretical Economics · Economics 2022-12-01 Ata Atay , Christian Trudeau

We consider a switch operating under the MaxWeight scheduling algorithm, under any traffic pattern such that all the ports are loaded. This system is interesting to study since the queue lengths exhibit a multi-dimensional state-space…

Probability · Mathematics 2015-06-11 Siva Theja Maguluri , R. Srikant

Optical switches have been drawing attention due to their large data bandwidth and low power consumption. However, scheduling policies need to account for the schedule reconfiguration delay of optical switches to achieve good performance.…

Optimization and Control · Mathematics 2017-01-23 Chang-Heng Wang , Siva Theja Maguluri , Tara Javidi

In this paper, motivated by considerations of server utilization and energy consumptions in cloud computing, we investigate a homogeneous queueing system with a threshold-based workload control scheme. In this system, a virtual machine will…

Probability · Mathematics 2018-07-18 Qihui Bu , Liwei Liuand Yiqiang Q. Zhao

We study tandem queueing systems in which servers work more efficiently in teams than on their own and customers are impatient in that they may leave the system while waiting for service. Our goal is to determine the server assignment…

Probability · Mathematics 2026-01-23 Bihan Chatterjee , Sigrún Andradóttir , Hayriye Ayhan

We consider the delay properties of max-weight opportunistic scheduling in a multi-user ON/OFF wireless system, such as a multi-user downlink or uplink. It is well known that max-weight scheduling stabilizes the network (and hence yields…

Optimization and Control · Mathematics 2009-01-02 Michael J. Neely

Multiuser Multi-Packet Transmission (MPT) from an Access Point (AP) equipped with multiple antennas to multiple single-antenna nodes can be achieved by exploiting the spatial dimension of the channel. In this paper we present a queueing…

Networking and Internet Architecture · Computer Science 2013-10-22 Boris Bellalta , Azadeh Faridi , Jaume Barcelo , Vanesa Daza , Miquel Oliver

We consider a polling system: a queueing system of $N\ge 1$ queues with Poisson arrivals $Q_1,...,Q_N$ visited in a cyclic order (with or without switchover times) by a single server. For this system we derive the probability generating…

Probability · Mathematics 2011-11-09 Onno Boxma , Offer Kella , Kamil Marcin Kosinski

In this paper, we study Markov-dependent reflected autoregressive processes, and other related models the analysis of which results in a vector-valued fixed-point functional equation of a certain type. In queueing terms, such processes…

Probability · Mathematics 2025-06-23 Ioannis Dimitriou

We consider a token bucket mechanism serving a heterogeneous flow with a focus on backlog, delay and packet loss properties. Previous models have considered the case for fixed size packets, i.e. "one token per packet" with and M/D/1 view on…

Networking and Internet Architecture · Computer Science 2020-09-24 Henrik Schioler , John Leth , Shibarchi Majumder

This letter investigates a cache-enabled multiuser mobile edge computing (MEC) system with dynamic task arrivals, taking into account the impact of proactive cache placement on the system's overall energy consumption. We consider that an…

Information Theory · Computer Science 2023-02-01 Jingxuan Liang , Hong Xing , Feng Wang , Vincent K. N. Lau

We consider a heterogeneous queueing system consisting of one large pool of $O(r)$ identical servers, where $r\to\infty$ is the scaling parameter. The arriving customers belong to one of several classes which determines the service times in…

Probability · Mathematics 2011-05-04 David Gamarnik , Alexander Stolyar

Due to recurrent (e.g. daily or weekly) patterns and non-recurrent disruptions (e.g. caused by incidents), travel times in road networks are time-dependent and inherently random. This is challenging for travelers planning a future trip,…

Optimization and Control · Mathematics 2022-09-01 Rens Kamphuis , Nikki Levering , Michel Mandjes

Energy neutral operation of WSNs can be achieved by exploiting the idleness of the workload to bring the average power consumption of each node below the harvesting power available. This paper proposes a combination of state-of-the-art…

Networking and Internet Architecture · Computer Science 2016-03-21 Usman Raza , Alessandro Bogliolo , Valerio Freschi , Emanuele Lattanzi , Amy L. Murphy

We study a control problem for queueing systems where customers may return for additional episodes of service after their initial service completion. At each service completion epoch, the decision maker can choose to reduce the probability…

Systems and Control · Electrical Eng. & Systems 2024-06-12 Timothy C. Y. Chan , Simon Y. Huang , Vahid Sarhangian

I develop a continuous-time model in which an incumbent batch-service provider faces stochastic passenger arrivals and must decide when to dispatch under the threat of customer defection to a faster entrant. The incumbent's problem is…

Theoretical Economics · Economics 2025-05-28 Md Mahadi Hasan

The landing and takeoff operations for an airport at any given day are described in terms of the capacity envelopes associated to runway system configurations, of the scheduled flights along the day and of predefined delay tolerances for…

Optimization and Control · Mathematics 2023-10-19 Carlos D. F. J. Bernardes , César Rodrigo

This paper presents a model addressing welfare optimal policies of demand responsive transportation service, where passengers cause external travel time costs for other passengers due to the route changes. Optimal pricing and trip…

General Economics · Economics 2021-03-02 Jani-Pekka Jokinen

Recently, the problems of evaluating performances of switches and routers have been formulated as online problems, and a great amount of results have been presented. In this paper, we focus on managing outgoing packets (called {\em egress…

Data Structures and Algorithms · Computer Science 2014-09-02 Jun Kawahara , Koji M. Kobayashi , Tomotaka Maeda

Many transport processes on networks depend crucially on the underlying network geometry, although the exact relationship between the structure of the network and the properties of transport processes remain elusive. In this paper we…

Physics and Society · Physics 2015-06-26 Bosiljka Tadic , G. J. Rodgers , Stefan Thurner
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