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Related papers: A service system with on-demand agent invitations

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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

We consider a novel queuing problem where the decision-maker must choose to accept or reject randomly arriving tasks into a no buffer queue which are processed by $N$ identical servers. Each task has a price, which is a positive real…

Machine Learning · Computer Science 2022-03-16 Marc Rigter , Danial Dervovic , Parisa Hassanzadeh , Jason Long , Parisa Zehtabi , Daniele Magazzeni

We present an extension of the window flow control analysis by R. Agrawal et.al. (Reference [1]), C.-S. Chang (Reference [6]), and C.-S. Chang et. al. (Reference [8]) to a system with random service time and fixed feedback delay. We…

Performance · Computer Science 2015-07-17 Alireza Shekaramiz , Jorg Liebeherr , Almut Burchard

We consider a multi-stage stochastic optimization problem originally introduced by Cygan et al. (2013), studying how a single server should prioritize stochastically departing customers. In this setting, our objective is to determine an…

Data Structures and Algorithms · Computer Science 2022-09-29 Danny Segev

In Naor's model [17], customers decide whether or not to join a queue after observing its length. This work considers a variation in which customers are heterogeneous in their service value (reward) $R$ from completed service and…

Statistics Theory · Mathematics 2026-03-25 Daniel Podorojnyi , Liron Ravner

We study web and mobile applications that are used to schedule advance service, from medical appointments to restaurant reservations. We model them as online weighted bipartite matching problems with non-stationary arrivals. We propose new…

Optimization and Control · Mathematics 2018-05-29 Xinshang Wang , Van-Anh Truong , David Bank

In parcel delivery, the "last mile" from the parcel hub to the customer is costly, especially for time-sensitive delivery tasks that have to be completed within hours after arrival. Recently, crowdshipping has attracted increased attention…

Artificial Intelligence · Computer Science 2024-01-23 Jeremias Dötterl , Ralf Bruns , Jürgen Dunkel , Sascha Ossowski

In this paper consensus in second-order multi-agent systems with a non-periodic sampled-data exchange among agents is investigated. The sampling is random with bounded inter-sampling intervals. It is assumed that each agent has exact…

Systems and Control · Computer Science 2016-11-17 Mehran Zareh , Dimos V. Dimarogonas , Mauro Franceschelli , Karl Henrik Johansson , Carla Seatzu

We study a simple but compelling model of $n$ interacting agents via time-dependent, unidirectional communication. The model finds wide application in a variety of fields including synchronization, swarming and distributed decision making.…

Optimization and Control · Mathematics 2007-05-23 Luc Moreau

We consider the problem of selfish agents in discrete-time queuing systems, where competitive queues try to get their packets served. In this model, a queue gets to send a packet each step to one of the servers, which will attempt to serve…

Computer Science and Game Theory · Computer Science 2020-11-23 Jason Gaitonde , Eva Tardos

In this paper, we consider an $N$-queue overloaded polling network attended by a single cyclically roving server. Upon the completion of his service, a customer is either routed to another queue or leaves the system. All the switches are…

Probability · Mathematics 2017-01-17 Zaiming Liu , Yuejiao Wang , Yuqing Chu , Yingqiu Li

We consider a queue to which only a finite pool of $n$ customers can arrive, at times depending on their service requirement. A customer with stochastic service requirement $S$ arrives to the queue after an exponentially distributed time…

Probability · Mathematics 2017-04-12 Gianmarco Bet , Remco van der Hofstad , Johan S. H. van Leeuwaarden

We analyze a boarding solution for a transport system in which the number of passengers allowed to enter a transport cabin is automatically controlled. Expressions charac- terizing the stochastic properties of the passenger queue length,…

Systems and Control · Computer Science 2018-09-10 Pasquale Grippa , Udo Schilcher , Christian Bettstetter

We consider a single server queueing system with two classes of jobs: eager jobs with small sizes that require service to begin almost immediately upon arrival, and tolerant jobs with larger sizes that can wait for service. While blocking…

Performance · Computer Science 2021-12-24 Kiran Chaudhary , Veeraruna Kavitha , Jayakrishnan Nair

We extend the Markov additive methodology developed in [Ann. Appl. Probab. 9 (1999) 110-145, Ann. Appl. Probab. 11 (2001) 596-607] to obtain the sharp asymptotics of the steady state probability of a queueing network when one of the nodes…

Probability · Mathematics 2007-05-23 Robert D. Foley , David R. McDonald

In this paper, we analyse a single server polling model with two queues. Customers arrive at the two queues according to two independent Poisson processes. There is a single server that serves both queues with generally distributed service…

Probability · Mathematics 2017-07-14 Mayank Saxena , Onno Boxma , Stella Kapodistria , Rudesindo Núñez Queija

This paper considers a multichannel preemptive-resume priority queueing system with a Poisson input and an arbitrary service time distribution depending on the priority of job. Jobs of the same priority are serviced according to the LIFO…

Probability · Mathematics 2022-06-22 A. G. Tatashev , O. V. Seleznjev , M. V. Yashina

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…

Probability · Mathematics 2018-01-19 Abhishek , Marko Boon , Onno Boxma , Rudesindo Núñez-Queija

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

We present novel online mechanisms for traffic intersection auctions in which users bid for priority service. We assume that users at the front of their lane are requested to declare their delay cost, i.e. value of time, and that users are…

Computer Science and Game Theory · Computer Science 2020-10-15 David Rey , Michael W Levin , Vinayak V Dixit