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Related papers: Optimal routing in two-queue polling systems

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We study a continuous-time, infinite-horizon dynamic bipartite matching problem. Suppliers arrive according to a Poisson process; while waiting, they may abandon the queue at a uniform rate. Customers on the other hand must be matched upon…

Data Structures and Algorithms · Computer Science 2025-06-03 Alireza AmaniHamedani , Ali Aouad , Amin Saberi

Consider a distribution of citizens in an urban area in which some services (supermarkets, post offices...) are present. Each citizen, in order to use a service, spends an amount of time which is due both to the travel time to the service…

Optimization and Control · Mathematics 2008-11-13 Gianluca Crippa , Chloé Jimenez , Aldo Pratelli

We consider a queueing system consisting of two non-identical exponential servers, where each server has its own dedicated queue and serves the customers in that queue FCFS. Customers arrive according to a Poisson process and join the queue…

Probability · Mathematics 2017-03-20 Jori Selen , Ivo J. B. F. Adan , Stella Kapodistria , Johan S. H. van Leeuwaarden

We study a queueing network with a single shared server that serves the queues in a cyclic order. External customers arrive at the queues according to independent Poisson processes. After completing service, a customer either leaves the…

Probability · Mathematics 2014-08-04 Marko Boon , Rob van der Mei , Erik Winands

We consider a service system with an infinite number of exponential servers sharing a finite service capacity. The servers are ordered according to their speed, and arriving customers join the fastest idle server. A capacity allocation is…

Probability · Mathematics 2018-08-23 Refael Hassin , Liron Ravner

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…

Probability · Mathematics 2021-01-01 Liron Ravner , Yutaka Sakuma

We investigate Markovian queues that are examined by a controller at random times determined by a Poisson process. Upon examination, the controller sets the service speed to be equal to the minimum of the current number of customers in the…

Performance · Computer Science 2023-03-30 R. Núñez-Queija , B. J. Prabhu , J. A. C. Resing

In this paper, we study joint queue-aware and channel-aware scheduling of arbitrarily bursty traffic over multi-state time-varying channels, where the bursty packet arrival in the network layer, the backlogged queue in the data link layer,…

Information Theory · Computer Science 2016-06-06 Meng Wang , Juan Liu , Wei Chen

Motivated by applications from gig economy and online marketplaces, we study a two-sided queueing system under joint pricing and matching controls. The queueing system is modeled by a bipartite graph, where the vertices represent customer…

Optimization and Control · Mathematics 2025-03-12 Sushil Mahavir Varma , Pornpawee Bumpensanti , Siva Theja Maguluri , He Wang

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…

Performance · Computer Science 2018-08-24 Li-on Raviv , Amir Leshem

In this paper, we analyze a polling system on a circle with. Random batches of customers arrive at a circle, where each customer, independently, obtains a location according to a general distribution. A single server cyclically travels over…

Probability · Mathematics 2025-03-07 Tim Engels , Ivo Adan , Onno Boxma , Jacques Resing

We consider a switched (queuing) network in which there are constraints on which queues may be served simultaneously; such networks have been used to effectively model input-queued switches and wireless networks. The scheduling policy for…

Probability · Mathematics 2014-09-04 D. Shah , N. S. Walton , Y. Zhong

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…

Optimization and Control · Mathematics 2026-03-05 Shreehari Anand Bodas , Harsha Honnappa , Michel Mandjes , Liron Ravner

We study service scheduling problems in a slotted system in which agents arrive with service requests according to a Bernoulli process and have to leave within two slots after arrival, service costs are quadratic in service rates, and there…

Systems and Control · Electrical Eng. & Systems 2022-04-26 Ramya Burra , Chandramani Singh , Joy Kuri

To boost energy saving for the general delay-tolerant IoT networks, a two-stage and single-relay queueing communication scheme is investigated. Concretely, a traffic-aware $N$-threshold and gated-service policy are applied at the relay. As…

Networking and Internet Architecture · Computer Science 2020-02-18 Nan Qi , Nikolaos I. Miridakis , Ming Xiao , Theodoros A. Tsiftsis , Rugui Yao , Shi Jin

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…

Optimization and Control · Mathematics 2013-07-11 Ravi Kumar , Mark E. Lewis , Huseyin Topaloglu

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…

Systems and Control · Electrical Eng. & Systems 2024-12-25 Nishant Mangre , Jiesen Wang

We consider an exhaustive polling system with three nodes in its transient regime under a switching rule of generalized greedy type. We show that, for the system with Poisson arrivals and service times with finite second moment, the…

Probability · Mathematics 2007-05-23 I. M. MacPhee , M. V. Menshikov , S. Popov , S. Volkov

Motivated by timeouts in Internet services, we consider networks of infinite server queues in which routing decisions are based on deadlines. Specifically, at each node in the network, the total service time equals the minimum of several…

Performance · Computer Science 2016-09-20 Neal Master , Nicholas Bambos

We study the scheduling polices for asymptotically optimal delay in queueing systems with switching overhead. Such systems consist of a single server that serves multiple queues, and some capacity is lost whenever the server switches to…

Performance · Computer Science 2017-01-17 Ping-Chun Hsieh , I-Hong Hou , Xi Liu