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In this study, we consider multi-class multi-server asymmetric queueing systems consisting of $N$ queues on one side and $K$ servers on the other side, where jobs randomly arrive in queues at each time. The service rate of each job-server…

机器学习 · 统计学 2025-05-07 Jung-hun Kim , Min-hwan Oh

We study a pricing game in multi-hop relay networks where nodes price their services and route their traffic selfishly and strategically. In this game, each node (1) announces pricing functions which specify the payments it demands from its…

计算机科学与博弈论 · 计算机科学 2007-10-15 Yufang Xi , Edmund M. Yeh

In last-mile delivery logistics, peer-to-peer logistic platforms play an important role in connecting senders, customers, and independent carriers to fulfill delivery requests. Since the carriers are not under the platform's control, the…

最优化与控制 · 数学 2025-06-11 Martina Cerulli , Claudia Archetti , Elena Fernandez , Ivana Ljubic

Most modern ticketing systems rely on a first-come-first-serve or randomized allocation system to determine the allocation of tickets. Such systems has received considerable backlash in recent years due to its inequitable allotment and…

综合经济学 · 经济学 2023-09-21 Boxiang Fu

When a new product or technology is introduced, potential consumers can learn its quality by trying the product, at a risk, or by letting others try it and free-riding on the information that they generate. We propose a dynamic game to…

经济学 · 定量金融 2017-06-27 Matt V. Leduc , Matthew O. Jackson , Ramesh Johari

In this paper we consider a real time queuing system with rewards and deadlines. We assume that packet processing time is known upon arrival, as is the case in communication networks. This assumption allows us to demonstrate that the well…

性能 · 计算机科学 2018-08-24 Li-on Raviv , Amir Leshem

Motivated by the increasing use of online appointment booking platforms, we study how to offer appointment slots to customers in order to maximize the total number of slots booked. We develop two models, non-sequential offering and…

最优化与控制 · 数学 2017-12-25 Nan Liu , Peter M. van de Ven , Bo Zhang

In this paper, we deal with a two-queue polling system attended by a single server. The server visits the queues according to a Markovian routing mechnism. There are two-class customers in the first queue. Customers of each queue are served…

概率论 · 数学 2014-11-04 Yuqing Chu , Zaiming Liu , Jinbiao Wu

Achieving optimal transmission throughput in data networks in a multi-hop wireless networks is fundamental but hard problem. The situation is aggravated when nodes are mobile. Further, multi-rate system make the analysis of throughput more…

网络与互联网体系结构 · 计算机科学 2010-09-24 Tapas Kumar Patra , Joy Kuri

Fixed Communication Provider (FCP) is a consortium of Internet Service Providers (ISPs) which users can switch easily and freely between their ISPs. In order to increase the QoS of the ISPs, we propose a two class service model as the…

网络与互联网体系结构 · 计算机科学 2017-11-15 Hossein Lolaee , Mohammad Ali Akhaee

Equilibrium G/M/1-FIFO waiting times are exponentially distributed, as first proved by Smith (1953). For other client-sorting policies, such generality is not feasible. Assume that interarrival times are constant. Symbolics for the…

概率论 · 数学 2022-10-28 Steven Finch

A special customer must complete service from two servers in series, in either order, each with an M/M/1 queueing system. It is assumed that the two queueing system lengths are independent with initial numbers of customers a and b at the…

概率论 · 数学 2011-08-05 Samantha Molinaro , Myron Hlynka , Shan Xu

We consider a service system with two Poisson arrival queues. A server chooses which queue to serve at each moment. Once a queue is served, all the customers will be served within a fixed amount of time. This model is useful in studying…

最优化与控制 · 数学 2013-07-02 Yuhang Liu , Zizhuo Wang

Multi-server queueing systems are widely used models for job scheduling in machine learning, wireless networks, crowdsourcing, and healthcare systems. This paper considers a multi-server system with multiple servers and multiple types of…

机器学习 · 计算机科学 2023-06-05 Zixian Yang , R. Srikant , Lei Ying

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

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

To mitigate the trade-offs between performance and costs, LLM providers route user tasks to different models based on task difficulty and latency. We study the effect of LLM routing with respect to user behavior. We propose a game between…

计算机科学与博弈论 · 计算机科学 2026-02-11 Rafid Mahmood

The last decade has witnessed an unprecedented growth in the demand for data-driven real-time services. These services are fueled by emerging applications that require rapidly injecting data streams and computing updated analytics results…

性能 · 计算机科学 2019-03-05 Zhongdong Liu , Bo Ji

We consider the problem of staffing large-scale service systems with multiple customer classes and multiple dedicated server pools under joint quality-of-service (QoS) constraints. We first analyze the case in which arrival rates are…

概率论 · 数学 2013-04-25 Jing Zan , John J. Hasenbein , David P. Morton

Dynamic pricing is commonly used to regulate congestion in shared service systems. This paper is motivated by the fact that in the presence of users with varying price sensitivity (responsiveness), conventional monotonic pricing can lead to…

系统与控制 · 电气工程与系统科学 2026-03-24 Yingqing Chen , Anni Li , Christos G. Cassandras , Homayoun Hamedmoghadam , Fabian Wirth , Robert Shorten