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There has recently been considerable interest in design of low-complexity, myopic, distributed and stable scheduling policies for constrained queueing network models that arise in the context of emerging communication networks. Here, we…

Information Theory · Computer Science 2010-04-06 Devavrat Shah , Jinwoo Shin

A two-sided matching system is considered, where servers are assumed to arrive at a fixed rate, while the arrival rate of customers is modulated via a price-control mechanism. We analyse a loss model, wherein customers who are not served…

Optimization and Control · Mathematics 2022-07-26 Rahul Vaze , Jayakrishnan Nair

This paper introduces and analyzes the notion of throughput suboptimality for many-server queueing systems in heavy traffic. The queueing model under consideration has multiple customer classes, indexed by a finite set $\mathcal{I}$, and…

Probability · Mathematics 2009-06-15 Rami Atar , Gennady Shaikhet

A basic combinatorial online resource allocation problem is considered, where multiple servers have individual capacity constraints, and at each time slot, a set of jobs arrives, that have potentially different weights to different servers.…

Data Structures and Algorithms · Computer Science 2015-12-02 Ajil Jalal , Rahul Vaze , Umang Bhaskar

This paper is motivated by the observation that the average queueing delay can be decreased by sacrificing power efficiency in wireless communications. In this sense, we naturally wonder what is the minimum queueing delay when the available…

Information Theory · Computer Science 2018-07-27 Meng Wang , Juan Liu , Wei Chen , Anthony Ephremides

We consider a time-slotted communication system with a machine, a cloud server, and a sampler. Job requests from the users are queued on the server to be completed by the machine. The machine has two states, namely, a busy state and a free…

Information Theory · Computer Science 2025-02-21 Subhankar Banerjee , Sennur Ulukus

In this paper, we study scheduling of a queueing system with zero knowledge of instantaneous network conditions. We consider a one-hop single-server queueing system consisting of $K$ queues, each with time-varying and non-stationary arrival…

Optimization and Control · Mathematics 2023-03-07 Jiatai Huang , Leana Golubchik , Longbo Huang

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…

Optimization and Control · Mathematics 2022-03-04 Melis Boran , Bahar Cavdar , Tugce Isik

Due to the limited resource capacity of edge servers and the high purchase costs of edge resources, service providers are facing the new challenge of how to take full advantage of the constrained edge resources for Internet of Things (IoT)…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-03 Lujie Tang , Minxian Xu , Chengzhong Xu , Kejiang Ye

We present an analysis of large-scale load balancing systems, where the processing time distribution of tasks depends on both the task and server types. Our study focuses on the asymptotic regime, where the number of servers and task types…

Probability · Mathematics 2023-06-19 Zhisheng Zhao , Debankur Mukherjee

In this work, we address the delay optimal scheduling problem for wireless transmission with fixed modulation over multi-state fading channels. We propose a stochastic scheduling policy which schedules the source to transmit with…

Information Theory · Computer Science 2015-09-18 Juan Liu , Wei Chen , Khaled B. Letaief

We consider the problem of scheduling a queueing system in which many statistically identical servers cater to several classes of impatient customers. Service times and impatience clocks are exponential while arrival processes are renewal.…

Probability · Mathematics 2007-05-23 Rami Atar , Avi Mandelbaum , Martin I. Reiman

We consider a system of $N$ parallel queues with identical exponential service rates and a single dispatcher where tasks arrive as a Poisson process. When a task arrives, the dispatcher always assigns it to an idle server, if there is any,…

Probability · Mathematics 2016-12-14 D. Mukherjee , S. C. Borst , J. S. H. van Leeuwaarden , P. A. Whiting

We consider the problem of designing risk-sensitive optimal control policies for scheduling packet transmissions in a stochastic wireless network. A single client is connected to an access point (AP) through a wireless channel. Packet…

Systems and Control · Computer Science 2017-09-11 Rahul Singh , Xueying Guo , Eytan Modiano

In multi-server distributed queueing systems, the access of stochastically arriving jobs to resources is often regulated by a dispatcher, also known as load balancer. A fundamental problem consists in designing a load balancing algorithm…

Probability · Mathematics 2025-02-23 Jonatha Anselmi , Francois Dufour

We consider a queueing system composed of a dispatcher that routes deterministically jobs to a set of non-observable queues working in parallel. In this setting, the fundamental problem is which policy should the dispatcher implement to…

Performance · Computer Science 2025-02-23 Jonatha Anselmi , Bruno Gaujal , Tommaso Nesti

We consider the following distributed service model: jobs with unit mean, general distribution, and independent processing times arrive as a renewal process of rate $\lambda n$, with $0<\lambda<1$, and are immediately dispatched to one of…

Probability · Mathematics 2018-07-10 David Gamarnik , John N. Tsitsiklis , Martin Zubeldia

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

We consider a load balancing system consisting of $n$ single-server queues working in parallel, with heterogeneous service rates. Jobs arrive to a central dispatcher, which has to dispatch them to one of the queues immediately upon arrival.…

Performance · Computer Science 2025-10-17 Yishun Luo , Martin Zubeldia