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相关论文: Estimating customer impatience in a service system…

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We study a multi-server queueing system with a periodic arrival rate and customers whose joining decision is based on their patience and a delay proxy. Specifically, each customer has a patience level sampled from a common distribution.…

概率论 · 数学 2024-03-25 Shreehari Anand Bodas , Michel Mandjes , Liron Ravner

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

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

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

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

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 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

Strategic customer behavior is strongly influenced by the level of information that is provided to customers. Hence, to optimize the design of queueing systems, many studies consider various versions of the same service model and compare…

最优化与控制 · 数学 2019-06-14 Yiannis Dimitrakopoulos , Antonis Economou , Stefanos Leonardos

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

We analyze a tandem network of polling queues with two product types and two stations. We assume that external arrivals to the network follow a Poisson process, and service times at each station are exponentially distributed. For this…

性能 · 计算机科学 2021-05-25 Ravi Suman , Ananth Krishnamurthy

We analyze the latency or sojourn time L(m,n) for the last customer in a batch of n customers to exit from the m-th queue in a tandem of m queues in the setting where the queues are in equilibrium before the batch of customers arrives at…

概率论 · 数学 2014-04-21 Jinho Baik , Raj Rao Nadakuditi

We use multidimensional diffusion processes to approximate the dynamics of a queue served by many parallel servers. The queue is served in the first-in-first-out (FIFO) order and the customers waiting in queue may abandon the system without…

概率论 · 数学 2015-03-19 Shuangchi He , J. G. Dai

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

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

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

In this paper we models and studies a general vacation queueing model with impatient customers. We first propose a sufficient condition for the existence of the stationary workload process. We then give an integral equation for the…

概率论 · 数学 2017-03-07 Assia Boumahdaf

To perform a queuing analysis or design in a communications context, we need to estimate the values of the input parameters, specifically the mean of the arrival rate and service time. In this paper, we propose an approach for estimating…

应用统计 · 统计学 2008-02-26 Xinjia Chen

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

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
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