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We consider an auto-scaling technique in a cloud system where virtual machines hosted on a physical node are turned on and off depending on the queue's occupation (or thresholds), in order to minimise a global cost integrating both energy…

Optimization and Control · Mathematics 2021-07-26 Thomas Tournaire , Hind Castel-Taleb , Emmanuel Hyon

Two independent Poisson streams of jobs flow into a single-server service system having a limited common buffer that can hold at most one job. If a type-i job (i=1,2) finds the server busy, it is blocked and routed to a separate type-i…

Discrete Mathematics · Computer Science 2012-06-26 Konstantin Avrachenkov , Philippe Nain , Uri Yechiali

Consider the following multi-phase project management problem. Each project is divided into several phases. All projects enter the next phase at the same point chosen by the decision maker based on observations up to that point. Within each…

Statistics Theory · Mathematics 2007-06-13 Hock Peng Chan , Cheng-Der Fuh , Inchi Hu

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 maximum possible throughput (or the rate of job completion) of a multi-server system is typically the sum of the service rates of individual servers. Recent work shows that launching multiple replicas of a job and canceling them as soon…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-29 Gauri Joshi , Dhruva Kaushal

We consider a distributed cloud service deployed at a set of distinct server pools. Arriving jobs are classified into heterogeneous types, in accordance with their setup times which are differentiated at each of the pools. A dispatcher for…

Systems and Control · Electrical Eng. & Systems 2025-08-14 Fernando Paganini , Diego Goldsztajn

A queueing model has $J\ge2$ heterogeneous service stations, each consisting of many independent servers with identical capabilities. Customers of $I\ge2$ classes can be served at these stations at different rates, that depend on both the…

Probability · Mathematics 2007-05-23 Rami Atar , Avi Mandelbaum , Gennady Shaikhet

We consider a large-scale service system where incoming tasks have to be instantaneously dispatched to one out of many parallel server pools. The user-perceived performance degrades with the number of concurrent tasks and the dispatcher…

We consider the problem of load balancing in parallel queues by transferring customers between them at discrete points in time. Holding costs accrue as customers wait in the queue, while transfer decisions incur both fixed (setup) costs and…

Optimization and Control · Mathematics 2025-08-13 Timothy C. Y. Chan , Jangwon Park , Vahid Sarhangian

We study online task allocation for multi-robot, multi-queue systems with asymmetric stochastic arrivals and switching delays. We formulate the problem in discrete time: each location can host at most one robot per slot, servicing a task…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Mohammad Merati , H. M. Sabbir Ahmad , Wenchao Li , David Castañón

We investigate the transient and stationary queue-length distributions of a class of service systems with correlated service times. The classical $M^X/G/1$ queue with semi-Markov service times is the most prominent example in this class and…

Probability · Mathematics 2018-01-19 Abhishek , Marko Boon , Onno Boxma , Rudesindo Núñez-Queija

In this article, we study the classical shortest queue problem under the influence of malicious attacks, which is relevant to a variety of engineering system including transportation, manufacturing, and communications. We consider a…

Systems and Control · Electrical Eng. & Systems 2019-10-02 Yu Tang , Yining Wen , Li Jin

In the present paper we address two open problems concerning polling systems, viz., queueing systems consisting of multiple queues attended by a single server that visits the queues one at a time. The first open problem deals with a system…

Probability · Mathematics 2014-08-04 Marko Boon , Onno Boxma , Erik Winands

While reinforcement learning has been increasingly applied to stochastic control, few studies have systematically examined policy-based methods in queuing environments modeled as a semi-Markov decision process (SMDP). To address this gap,…

Optimization and Control · Mathematics 2026-04-28 Joseph Walton , Gabriel Nicolosi

Supply chain management is an integrated approach for planning and controlling materials, information, and finances as they move in a process which begins from suppliers and ends with customers in forward approach. As distribution network…

Optimization and Control · Mathematics 2021-10-22 Mohammad Najjartabar Bisheh , Hamid Davoudpour , G. Reza nasiri

Networks in which the processing of jobs occurs both sequentially and in parallel are prevalent in many application domains, such as computer systems, healthcare, manufacturing, and project management. The parallel processing of jobs gives…

Probability · Mathematics 2016-06-15 Erhun Özkan , Amy R. Ward

End-to-end delay is a critical attribute of quality of service (QoS) in application domains such as cloud computing and computer networks. This metric is particularly important in tandem service systems, where the end-to-end service is…

Machine Learning · Computer Science 2021-01-13 Majid Raeis , Ali Tizghadam , Alberto Leon-Garcia

We study the design of dynamic scheduling controls in closed queueing networks with a fixed number of jobs. Each time a server becomes available, the controller has (limited) flexibility in choosing the buffer from which to serve a job. If…

Probability · Mathematics 2022-10-18 Siddhartha Banerjee , Yash Kanoria , Pengyu Qian

A multi-class single-server system with general service time distributions is studied in a moderate deviation heavy traffic regime. In the scaling limit, an optimal control problem associated with the model is shown to be governed by a…

Optimization and Control · Mathematics 2014-07-03 Rami Atar , Anup Biswas

A parallel server system is a stochastic processing network with applications in manufacturing, supply chain, ride-hailing, call centers, etc. Heterogeneous customers arrive in the system, and only a subset of servers can serve any customer…

Networking and Internet Architecture · Computer Science 2023-01-10 Sushil Mahavir Varma , Siva Theja Maguluri