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Motivated by the operational problems in click and collect systems, such as curbside pickup programs, we study a joint admission control and capacity allocation problem. We consider a system where arriving customers have preferred service…

最优化与控制 · 数学 2022-03-04 Melis Boran , Bahar Cavdar , Tugce Isik

We consider the problem of service rate control of a single server queueing system with a finite-state Markov-modulated Poisson arrival process. We show that the optimal service rate is non-decreasing in the number of customers in the…

最优化与控制 · 数学 2013-07-11 Ravi Kumar , Mark E. Lewis , Huseyin Topaloglu

We consider a Markovian single server queue with impatient customers. There is a customer abandonment cost and a holding cost for customers in the system. We consider two versions of the problem. In the first version, customers pay a reward…

最优化与控制 · 数学 2025-11-12 Runhua Wu , Hayriye Ayhan

We consider the problem of customer equilibrium behavior of a single server Markovian queue with dynamic control of the service rate. Customers arrive according a Poisson procedure and the system administrator makes a service rate choice…

最优化与控制 · 数学 2018-05-17 Apostolos Burnetas , Yiannis Dimitrakopoulos

We consider the problem of customer equilibrium strategies in an M/M/1 queue under dynamic service control. The service rate switches between a low and a high value depending on system congestion. Arriving customers do not observe the…

最优化与控制 · 数学 2011-12-07 Y. Dimitrakopoulos , A. Burnetas

We consider Markovian many-server systems with admission control operating in a QED regime, where the relative utilization approaches unity while the number of servers grows large, providing natural Economies-of-Scale. In order to determine…

Motivated by applications in online marketplaces such as ride-hailing platforms and payment channel networks, we study a single-server queue with state-dependent arrival control. The service operator dynamically chooses the arrival rate as…

最优化与控制 · 数学 2026-02-03 Tianze Qu , Sushil Mahavir Varma

We consider a general queueing system with price-sensitive customers in which the service provider seeks to balance two objectives, maximizing the average revenue rate and minimizing the average queue length. Customers arrive according to a…

数据结构与算法 · 计算机科学 2025-12-09 Jacob Bergquist , Adam N. Elmachtoub

This paper studies a scheduling control problem for a single-server multiclass queueing network in heavy traffic, operating in a changing environment. The changing environment is modeled as a finite state Markov process that modulates the…

概率论 · 数学 2012-11-30 Amarjit Budhiraja , Arka Ghosh , Xin Liu

We study a two-stage tandem service queue attended by two servers. Each job-server pair must complete both service phases together, with the server unable to begin a new job until the current one is fully processed after two stages.…

最优化与控制 · 数学 2026-01-21 Shuwen Lu , Jamol Pender , Mark E. Lewis

Recent studies indicate that in many situations service times are affected by the experienced queueing delay of the particular customer. This effect has been detected in different areas, such as health care, call centers and…

概率论 · 数学 2025-04-25 Bernardo D'Auria , Ivo J. B. F. Adan , René Bekker , Vidyadhar Kulkarni

Tandem queueing systems are widely-used stochastic models that arise from many real-life service operations systems. Motivated by the desire to understand the trade-off between the performance and complexity of policies for…

最优化与控制 · 数学 2018-04-25 Tonghoon Suk , Xinchang Wang

The optimal tradeoff between average service cost rate, average utility rate, and average delay is addressed for a state dependent M/M/1 queueing model, with controllable queue length dependent service rates and arrival rates. For a model…

性能 · 计算机科学 2013-11-05 Vineeth B. S. , Utpal Mukherji

We study the impact of service-time distributions on the distribution of the maximum queue length during a busy period for the M^X/G/1 queue. The maximum queue length is an important random variable to understand when designing the buffer…

概率论 · 数学 2007-05-23 Ger Koole , Misja Nuyens , Rhonda Righter

The performance of non-preemptive M/M/1 queueing system with two priority is analyzed. By using complementary variable method to make vector Markov process and analyzing the state-change equations of the queueing system, the generating…

最优化与控制 · 数学 2009-02-13 Zhao Guo-xi , Hu Qi-Zhou

In this paper, we introduce a model of dynamical queue, in which the service time depends on the server utilization history. The proposed queueing model is motivated by widely accepted empirical laws describing human performance as a…

最优化与控制 · 数学 2015-03-13 Ketan Savla , Emilio Frazzoli

In a queueing system involving multiple service windows, choice behavior is a significant concern. This paper incorporates the choice of service windows into a queueing model with a floor represented by discrete cells. We contrived a…

物理与社会 · 物理学 2019-05-10 Masahiro Tanaka , Daichi Yanagisawa , Katsuhiro Nishinari

In this paper we analyze an $M/M/1$ queueing system with an arbitrary number of customer classes, with class-dependent exponential service rates and preemptive priorities between classes. The queuing system can be described by a…

概率论 · 数学 2015-11-13 Andrei Sleptchenko , Jori Selen , Ivo Adan , Geert-Jan van Houtum

In this paper, we present counter-intuitive examples for the multiclass queueing network system. In the system, each station may serve more than one job class with differentiated service priority, and each job may require service…

概率论 · 数学 2007-05-23 Heng-Qing Ye

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…

最优化与控制 · 数学 2019-01-11 Tesnim Naceur , Yezekael Hayel
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