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We study the steady-state performance of parallel-server systems under an immediate routing architecture with two sources of heterogeneity: servers and job classes, subject to compatibility constraints. We focus on the…

Probability · Mathematics 2025-09-25 Yaosheng Xu

The assessment of a job's Quality of Service (QoS) often revolves around its flow time, also referred to as response time. This study delves into two fundamental objectives for scheduling jobs: the average flow time and the maximum flow…

Data Structures and Algorithms · Computer Science 2025-05-02 Tung-Wei Kuo

We consider general large-scale service systems with multiple customer classes and multiple server (agent) pools, mean service times depend both on the customer class and server pool. It is assumed that the allowed activities (routing…

Probability · Mathematics 2015-03-17 Alexander L. Stolyar , Elena Yudovina

High Speed computing meets ever increasing real-time computational demands through the leveraging of flexibility and parallelism. The flexibility is achieved when computing platform designed with heterogeneous resources to support…

Operating Systems · Computer Science 2015-01-08 Mahendra Vucha , Arvind Rajawat

We study the problem of learning, from observational data, fair and interpretable policies that effectively match heterogeneous individuals to scarce resources of different types. We model this problem as a multi-class multi-server queuing…

Machine Learning · Computer Science 2022-06-07 Aida Rahmattalabi , Phebe Vayanos , Kathryn Dullerud , Eric Rice

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

We study a two-type server queueing system where flexible Type-I servers, upon their initial interaction with jobs, decide in real time whether to process them independently or in collaboration with dedicated Type-II servers. Independent…

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

Streaming analysis is widely used in cloud as well as edge infrastructures. In these contexts, fine-grained application performance can be based on accurate modeling of streaming operators. This is especially beneficial for computationally…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-30 Hannaneh Najdataei , Vincenzo Gulisano , Alessandro V. Papadopoulos , Ivan Walulya , Marina Papatriantafilou , Philippas Tsigas

Platooning of connected and autonomous vehicles (CAVs) has a significant potential for throughput improvement. However, the interaction between CAVs and non-CAVs may limit the practically attainable improvement due to platooning. To better…

Optimization and Control · Mathematics 2020-11-16 Li Jin , Mladen Cicic , Karl H. Johansson , Saurabh Amin

Policy iteration techniques for multiple-server dispatching rely on the computation of value functions. In this context, we consider the continuous-space M/G/1-FCFS queue endowed with an arbitrarily-designed cost function for the waiting…

Performance · Computer Science 2021-11-09 Olivier Bilenne

Stream processing is a compute paradigm that promises safe and efficient parallelism. Modern big-data problems are often well suited for stream processing's throughput-oriented nature. Realization of efficient stream processing requires…

Performance · Computer Science 2015-04-14 Jonathan C. Beard , Roger D. Chamberlain

In this paper we investigate a potential use of fluid approximation techniques in the context of stochastic model checking of CSL formulae. We focus on properties describing the behaviour of a single agent in a (large) population of agents,…

Logic in Computer Science · Computer Science 2013-01-22 Luca Bortolussi , Jane Hillston

We consider a single-server queue with renewal arrivals and i.i.d. service times, in which the server employs either the preemptive Shortest Remaining Processing Time (SRPT) policy, or its non-preemptive variant, Shortest Job First (SJF).…

Probability · Mathematics 2010-07-16 H. Christian Gromoll , Martin Keutel

Diffusion models can learn rich representations during data generation, showing potential for Self-Supervised Learning (SSL), but they face a trade-off between generative quality and discriminative performance. Their iterative sampling also…

Machine Learning · Computer Science 2025-12-24 Kosuke Ukita , Tsuyoshi Okita

Continuous diffusion and flow matching models could represent a powerful alternative to autoregressive approaches for language modelling (LM), as they unlock a host of advantages currently reserved for continuous modalities, including…

Machine Learning · Computer Science 2026-05-12 Oscar Davis , Anastasiia Filippova , Pierre Ablin , Victor Turrisi , Amitis Shidani , Marco Cuturi , Louis Béthune

We extend flow matching to ensembles of linear systems in both deterministic and stochastic settings. Averaging over system parameters induces memory leading to a non-Markovian interpolation problem for the stochastic case. In this setting,…

Optimization and Control · Mathematics 2025-10-17 Daniel Owusu Adu , Yongxin Chen

A fundamental challenge in large-scale cloud networks and data centers is to achieve highly efficient server utilization and limit energy consumption, while providing excellent user-perceived performance in the presence of uncertain and…

Probability · Mathematics 2017-06-23 Debankur Mukherjee , Souvik Dhara , Sem Borst , Johan S. H. van Leeuwaarden

Federated learning (FL) systems enable multiple clients to train a machine learning model iteratively through synchronously exchanging the intermediate model weights with a single server. The scalability of such FL systems can be limited by…

Machine Learning · Computer Science 2024-06-21 Yuncong Zuo , Bart Cox , Lydia Y. Chen , Jérémie Decouchant

Frameworks, such as MapReduce and Hadoop are abundant nowadays. They seek to reap benefits of parallelization, albeit subject to a synchronization constraint at the output. Fork-Join (FJ) queuing models are used to analyze such systems.…

Performance · Computer Science 2016-12-19 Wasiur R. KhudaBukhsh , Sounak Kar , Amr Rizk , Heinz Koeppl

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