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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

Motivated by applications such as urban traffic control and make-to-order systems, we study a fluid model of a single-server, on-off system that can accommodate multiple queues. The server visits each queue in order: when a queue is served,…

计算机科学与博弈论 · 计算机科学 2025-04-01 Yanwei Sun , Zhe Liu , Chiwei Yan

A system manager makes dynamic pricing and dispatch control decisions in a queueing network model motivated by ride-hailing applications. A novel feature of the model is that it incorporates travel times. Unfortunately, this renders the…

最优化与控制 · 数学 2026-05-27 Amir Anastasios Alwan , Baris Ata , Yuwei Zhou

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 diffusion model that arises as the limit of a queueing system scheduling problem in the asymptotic heavy traffic regime of Halfin and Whitt. The queueing system consists of several customer classes and many servers…

概率论 · 数学 2007-05-23 Rami Atar

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 single server queue in which customers are preemptively scheduled by exogenously assigned priority levels. The novelty in our model is that the priority levels are randomly assigned from a continuous probability…

概率论 · 数学 2017-01-09 Neal Master , Zhengyuan Zhou , Nicholas Bambos

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

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

Congestion externalities are a well-known phenomenon in transportation and communication networks, healthcare etc. Optimization by self-interested agents in such settings typically results in equilibria which are sub-optimal for social…

计算机科学与博弈论 · 计算机科学 2021-07-08 Tejas Bodas , A. Ganesh , D. Manjunath

We consider a stochastic, dynamic job scheduling problem, formulated as a queueing control problem, in which a single server processes jobs of different types that arrive according to independent Poisson processes. The problem is defined on…

最优化与控制 · 数学 2025-09-09 Dongnuan Tian , Rob Shone

In the current intensively changing technological environment, wireless network operators try to manage the increase of global traffic, optimizing the use of the available resources. This involves associating each user to one of its…

网络与互联网体系结构 · 计算机科学 2013-04-23 Vladimir Fux , Patrick Maillé , Jean-Marie Bonnin , Nassim Kaci

We consider a profit maximization problem in an urban mobility on-demand service, of which the operator owns a fleet, provides both exclusive and shared trip services, and dynamically determines prices of offers. With knowledge of the…

最优化与控制 · 数学 2018-02-13 Han Qiu , Ruimin Li , Jinhua Zhao

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

We study a make-to-order system with a finite set of customers. Production is stochastic with a nonlinear dependence between the ordered quantity and the production rate. Customers may have to queue until their turn arrives, and therefore…

最优化与控制 · 数学 2025-07-29 Refael Hassin , Jiesen Wang

In this paper, we study a controllable tandem queueing system consisting of two nodes and a controller, in which customers arrive according to a Poisson process and must receive service at both nodes before leaving the system. A decision…

概率论 · 数学 2015-04-07 Liu Zaiming , Chen Gang , Wu Jinbiao

The performance of an energy system under a real-time pricing mechanism depends on the consumption behavior of its customers, which involves uncertainties. In this paper, we consider a system operator that charges its customers with a…

系统与控制 · 计算机科学 2016-11-17 Ceyhun Eksin , Hakan Delic , Alejandro Ribeiro

We consider "time-of-use" pricing as a technique for matching supply and demand of temporal resources with the goal of maximizing social welfare. Relevant examples include energy, computing resources on a cloud computing platform, and…

计算机科学与博弈论 · 计算机科学 2017-04-11 Shuchi Chawla , Nikhil R. Devanur , Alexander E. Holroyd , Anna Karlin , James Martin , Balasubramanian Sivan

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
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