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Related papers: Mixed Polling with Rerouting and Applications

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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

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

In dynamic ride-sharing systems, intelligent repositioning of idle vehicles enables service providers to maximize vehicle utilization and minimize request rejection rates as well as customer waiting times. In current practice, this task is…

Optimization and Control · Mathematics 2020-09-30 Martin Pouls , Anne Meyer , Nitin Ahuja

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

A key operational challenge for call centers is to decide, in real time, which waiting customer should be served by which available agent. This is known as skill-based routing, and the decision becomes especially difficult in large systems…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Baris Ata , Ebru Kasikaralar

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

A heterogeneous closed network with one-server queues with finite capacity and one infinite-server queue is studied. A target application is bike-sharing systems. Heterogeneity is taken into account through clusters whose queues have the…

Adaptation and Self-Organizing Systems · Physics 2014-05-26 Christine Fricker , Nicolas Servel

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

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

Motivated by packet routing in computer networks, online queuing systems are composed of queues receiving packets at different rates. Repeatedly, they send packets to servers, each of them treating only at most one packet at a time. In the…

Machine Learning · Statistics 2021-11-05 Flore Sentenac , Etienne Boursier , Vianney Perchet

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

The paper studies closed queueing networks containing a server station and $k$ client stations. The server station is an infinite server queueing system, and client stations are single-server queueing systems with autonomous service, i.e.…

Probability · Mathematics 2008-01-24 Vyacheslav M. Abramov

We study a dispatching and pricing problem in two-sided spatial queues with fixed supply, motivated by ride-hailing and robotaxi platforms. Idle drivers queue on one side, waiting to pick up riders, while riders queue on the other, waiting…

Optimization and Control · Mathematics 2026-03-17 Ang Xu , Chiwei Yan

The fundamental problem in the study of parallel-server systems is that of finding and analyzing `good' routing policies of arriving jobs to the servers. It is well known that, if full information regarding the workload process is available…

Probability · Mathematics 2019-04-24 Pascal Moyal , Ohad Perry

This paper considers a parallel system of queues fed by independent arrival streams, where the service rate of each queue depends on the number of customers in all of the queues. Necessary and sufficient conditions for the stability of the…

Probability · Mathematics 2010-01-12 Sem Borst , Matthieu Jonckheere , Lasse Leskelä

While conventional shared demand-responsive transportation (SDRT) systems mostly operate on a door-to-door policy, the usage of meeting points for the pick-up and drop-off of user groups can offer several advantages, like fewer stops and…

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

We consider a stochastic bipartite matching model consisting of multi-class customers and multi-class servers. Compatibility constraints between the customer and server classes are described by a bipartite graph. Each time slot, exactly one…

Probability · Mathematics 2022-01-12 Céline Comte , Jan-Pieter Dorsman

The model is motivated by the problem of load distribution in large-scale cloud-based data processing systems. We consider a heterogeneous service system, consisting of multiple large server pools. The pools are different in that their…

Probability · Mathematics 2015-06-11 Alexander Stolyar

This study presents a multi-zone queuing network model for steady-state ride-pooling operations that serve heterogeneous demand, and then builds upon this model to optimize the design of ride-pooling services. Spatial heterogeneity is…

Optimization and Control · Mathematics 2023-06-29 Yining Liu , Yanfeng Ouyang

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.…

Optimization and Control · Mathematics 2026-01-21 Shuwen Lu , Jamol Pender , Mark E. Lewis