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Service system dynamics occur at the interplay between customer behaviour and a service provider's response. This kind of dynamics can effectively be modeled within the framework of queuing theory where customers' arrivals are described by…

In this paper, we study optimal control problems for multiclass GI/M/n+M queues in an alternating renewal (up-down) random environment in the Halfin-Whitt regime. Assuming that the downtimes are asymptotically negligible and only the…

Optimization and Control · Mathematics 2019-08-20 Ari Arapostathis , Guodong Pang , Yi Zheng

In this paper we present a queueing network approach to the problem of routing and rebalancing a fleet of self-driving vehicles providing on-demand mobility within a capacitated road network. We refer to such systems as autonomous…

Systems and Control · Computer Science 2017-03-28 Ramon Iglesias , Federico Rossi , Rick Zhang , Marco Pavone

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 consider a service system where agents are invited on-demand. Customers arrive exogenously as a Poisson process and join a customer queue upon arrival if no agent is available. Agents decide to accept or decline invitations after some…

Probability · Mathematics 2015-10-27 Guodong Pang , Alexander L. Stolyar

The long waiting time at airport security has become an emergent issue as demand for air travel continues to grow. Not only does queuing at security cause passengers to miss their flights, but also reduce the amount of time passengers spend…

Systems and Control · Electrical Eng. & Systems 2025-05-12 Shangqing Cao , Aparimit Kasliwal , Huangyi Zheng , Masoud Reihanifar , Francesc Robuste , Mark Hansen

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…

Probability · Mathematics 2017-01-09 Neal Master , Zhengyuan Zhou , Nicholas Bambos

We consider a dynamic system with multiple types of customers and servers. Each type of waiting customer or server joins a separate queue, forming a bipartite graph with customer-side queues and server-side queues. The platform can match…

Optimization and Control · Mathematics 2024-11-19 Zixian Yang , Lei Ying

We consider a meal delivery service fulfilling dynamic customer requests given a set of couriers over the course of a day. A courier's duty is to pick-up an order from a restaurant and deliver it to a customer. We model this service as a…

Machine Learning · Computer Science 2022-03-01 Hadi Jahanshahi , Aysun Bozanta , Mucahit Cevik , Eray Mert Kavuk , Ayşe Tosun , Sibel B. Sonuc , Bilgin Kosucu , Ayşe Başar

A multi-class single-server queueing model with finite buffers, in which scheduling and admission of customers are subject to control, is studied in the moderate deviation heavy traffic regime. A risk-sensitive cost set over a finite time…

Probability · Mathematics 2018-05-02 Rami Atar , Asaf Cohen

We study online task allocation for multi-robot, multi-queue systems with stochastic arrivals and switching delays. Time is slotted; each location can host at most one robot per slot; service consumes one slot; switching between locations…

Robotics · Computer Science 2025-10-01 Mohammad Merati , David Castañón

We consider the problem of scheduling in constrained queueing networks with a view to minimizing packet delay. Modern communication systems are becoming increasingly complex, and are required to handle multiple types of traffic with widely…

Machine Learning · Computer Science 2021-05-04 Mohammani Zaki , Avi Mohan , Aditya Gopalan , Shie Mannor

In this paper, we study a dynamic pickup and delivery problem with docking constraints. There is a homogeneous fleet of vehicles to serve pickup-and-delivery requests at given locations. The vehicles can be loaded up to their capacity,…

Optimization and Control · Mathematics 2025-01-10 Markó Horváth , Tamás Kis , Péter Györgyi

We consider strategic arrivals to a FCFS service system that starts service at a fixed time and has to serve a fixed number of customers, e.g., an airplane boarding system. Arriving early induces a higher waiting cost (waiting before…

Computer Science and Game Theory · Computer Science 2018-08-14 Rajat Talak , D. Manjunath , Alexandre Proutiere

Priority queues are one of the most fundamental and widely used data structures in computer science. Their primary objective is to efficiently support the insertion of new elements with assigned priorities and the extraction of the highest…

Data Structures and Algorithms · Computer Science 2024-11-19 Ziyad Benomar , Christian Coester

The evolution of 5G and Beyond networks has enabled new applications with stringent end-to-end latency requirements, but providing reliable low-latency service with high throughput over public wireless networks is still a significant…

Networking and Internet Architecture · Computer Science 2022-10-19 Andrea Bedin , Federico Chiariotti , Stepan Kucera , Andrea Zanella

We study the problem of scheduling delay-sensitive jobs over spot and on-demand cloud instances to minimize average cost while meeting an average delay constraint. Jobs arrive as a general stochastic process, and incur different costs based…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Neelkamal Bhuyan , Randeep Bhatia , Murali Kodialam , TV Lakshman

Motivated by the increasing importance of providing delay-guaranteed services in general computing and communication systems, and the recent wide adoption of learning and prediction in network control, in this work, we consider a general…

Networking and Internet Architecture · Computer Science 2018-01-08 Kun Chen , Longbo Huang

Problem Definition: Allocating sufficient capacity to cloud services is a challenging task, especially when demand is time-varying, heterogeneous, contains batches, and requires multiple types of resources for processing. In this setting,…

Applications · Statistics 2022-09-21 Eugene Furman , Arik Senderovich , Shane Bergsma , J. Christopher Beck

We consider a service system where agents (or, servers) are invited on-demand. Customers arrive as a Poisson process and join a customer queue. Customer service times are i.i.d. exponential. Agents' behavior is random in two respects.…

Probability · Mathematics 2016-09-09 Lam Nguyen , Alexander Stolyar
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