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This paper studies a service system in which arriving customers are provided with information about the delay they will experience. Based on this information they decide to wait for service or to leave the system. Specifically, every…

概率论 · 数学 2022-08-31 Yoshiaki Inoue , Liron Ravner , Michel Mandjes

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…

最优化与控制 · 数学 2026-03-05 Shreehari Anand Bodas , Harsha Honnappa , Michel Mandjes , Liron Ravner

We consider the processor sharing $M/M/1$-PS queue which also models balking. A customer that arrives and sees $n$ others in the system "balks" (i.e., decides not to enter) with probability $1-b_n$. If $b_n$ is inversely proportional to…

概率论 · 数学 2011-04-26 Qiang Zhen , Johan S. H. van Leeuwaarden , Charles Knessl

We study the problem of strategic choice of arrival time to a single-server queue with opening and closing times when there is uncertainty regarding service speed. A Poisson population of customers choose their arrival time with the goal of…

概率论 · 数学 2021-01-01 Liron Ravner , Yutaka Sakuma

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…

统计理论 · 数学 2026-03-25 Daniel Podorojnyi , Liron Ravner

In this paper we consider a single-server, cyclic polling system with switch-over times and Poisson arrivals. The service disciplines that are discussed, are exhaustive and gated service. The novel contribution of the present paper is that…

概率论 · 数学 2014-08-04 Marko Boon

Queues that feature multiple entities arriving simultaneously are among the oldest models in queueing theory, and are often referred to as "batch" (or, in some cases, "bulk") arrival queueing systems. In this work we study the affect of…

概率论 · 数学 2019-02-05 Andrew Daw , Jamol Pender

In this paper we consider a single-server, cyclic polling system with switch-over times. A distinguishing feature of the model is that the rates of the Poisson arrival processes at the various queues depend on the server location. For this…

概率论 · 数学 2014-08-04 Marko Boon , Sandra van Wijk , Ivo Adan , Onno Boxma

Motivated by demand prediction for the custodial prison population in England and Wales, this paper describes an approach to the study of service systems using infinite server queues, where the system has non-empty initial state and the…

应用统计 · 统计学 2023-02-23 Nikki Sonenberg , Victoria Volodina , Peter G. Challenor , Jim Q. Smith

This paper provides a mathematical framework for estimation of the service time distribution and the expected service time of an infinite-server queueing system with a nonhomogeneous Poisson arrival process, in the case of partial…

统计理论 · 数学 2018-05-29 A. Goldenshluger , D. T. Koops

A many-server queueing system is considered in which customers arrive according to a renewal process and have service and patience times that are drawn from two independent sequences of independent, identically distributed random variables.…

概率论 · 数学 2012-04-30 Weining Kang , Kavita Ramanan

The queue system,with Poisson arrivals,constant service time and infinite servers, busy period distribution is intensively studied because, due to its probability density function quite easy interpretation, it may serve as a clue to…

概率论 · 数学 2021-09-23 Manuel Alberto M. Ferreira

We consider a Markovian clearing queueing system, where the customers are accumulated according to a Poisson arrival process and the server removes all present customers at the completion epochs of exponential service cycles. This system…

最优化与控制 · 数学 2011-12-26 Antonis Economou , Athanasia Manou

The potential demand in the market and customers' perception of service value are crucial factors in pricing strategies, resource allocation, and other operational decisions. However, this information is typically private and not readily…

系统与控制 · 电气工程与系统科学 2024-12-25 Nishant Mangre , Jiesen Wang

A common assumption when modeling queuing systems is that arrivals behave like a Poisson process with constant parameter. In practice, however, call arrivals are often observed to be significantly overdispersed. This motivates that in this…

概率论 · 数学 2017-03-07 Mariska Heemskerk , Julia Kuhn , Michel Mandjes

This paper studies statistical inference in a network of infinite-server queues, with the aim of estimating the underlying parameters (routing matrix, arrival rates, parameters pertaining to the service times) using observations of the…

概率论 · 数学 2025-06-10 Hritika Gupta , Michel Mandjes , Liron Ravner , Jiesen Wang

Motivated by applications that involve setting proper staffing levels for multi-server queueing systems with batch arrivals, we present a thorough study of the queue-length process $\{Q(t); t \geq 0\}$, departure process $\{D(t); t \geq…

概率论 · 数学 2022-06-20 Andrew Daw , Brian Fralix , Jamol Pender

We study a token-based central queue with multiple customer types. Customers of each type arrive according to a Poisson process and have an associated set of compatible tokens. Customers may only receive service when they have claimed a…

概率论 · 数学 2019-02-07 U. Ayesta , T. Bodas , J. L. Dorsman , I. M. Verloop

The paper studies a multiserver retrial queueing system with $m$ servers. Arrival process is a point process with strictly stationary and ergodic increments. A customer arriving to the system occupies one of the free servers. If upon…

概率论 · 数学 2021-07-01 Vyacheslav M. Abramov

This paper introduces a new asymptotic regime for simplifying stochastic models having non-stationary effects, such as those that arise in the presence of time-of-day effects. This regime describes an operating environment within which the…

概率论 · 数学 2018-07-19 Zeyu Zheng , Harsha Honnappa , Peter W. Glynn
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