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A queue is required when a service provider is not able to handle jobs arriving over the time. In a highly flexible and dynamic environment, some jobs might demand for faster execution at run-time especially when the resources are limited…

Performance · Computer Science 2015-03-24 Yash Gupta , Kamalakar Karlapalem

In most service systems, the servers are humans who desire to experience a certain level of idleness. In call centers, this manifests itself as the call avoidance behavior, where servers strategically adjust their service rate to strike a…

Probability · Mathematics 2025-05-28 Burak Büke , Goncalo dos Reis , Vadim Platonov

Many cloud service providers (CSPs) provide on-demand service at a price with a small delay. We propose a QoS-differentiated model where multiple SLAs deliver both on-demand service for latency-critical users and delayed services for…

Performance · Computer Science 2020-07-31 Xiaohu Wu , Francesco De Pellegrini , Giuliano Casale

We study randomized experiments in a service system when stochastic congestion can arise from temporarily limited supply or excess demand. Such congestion gives rise to cross-unit interference between the waiting customers, and analytic…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Shuangning Li , Ramesh Johari , Xu Kuang , Stefan Wager

The non-stationary Erlang-A queue is a fundamental queueing model that is used to describe the dynamic behavior of large scale multi-server service systems that may experience customer abandonments, such as call centers, hospitals, and…

Probability · Mathematics 2026-01-14 Andrew Daw , Jamol Pender

We present a new framework for designing nonpreemptive and job-size oblivious scheduling policies in the multiserver-job queueing model. The main requirement is to identify a static and balanced sub-partition of the server set and ensure…

Performance · Computer Science 2025-02-04 Jonatha Anselmi , Josu Doncel

Overcrowding in emergency departments (ED) remains a persistent operational challenge worldwide, causing delays in care delivery and downstream congestion. ED boarding time, defined as the duration admitted patients remain in the ED while…

Machine Learning · Computer Science 2026-05-20 Orhun Vural , Abdulaziz Ahmed , Ferhat Zengul , James Booth , Bunyamin Ozaydin

We consider a discrete-time system comprising a first-come-first-served queue, a non-preemptive server, and a stationary non-work-conserving scheduler. New tasks enter the queue according to a Bernoulli process with a pre-specified arrival…

Applications · Statistics 2020-08-05 Michael Lin , Nuno C. Martins , Richard J. La

Large language model (LLM) serving is becoming an increasingly critical workload for cloud providers. Existing LLM serving systems focus on interactive requests, such as chatbots and coding assistants, with tight latency SLO requirements.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-26 Archit Patke , Dhemath Reddy , Saurabh Jha , Haoran Qiu , Christian Pinto , Chandra Narayanaswami , Zbigniew Kalbarczyk , Ravishankar Iyer

Due to the presence of buffers in the inner network nodes, each congestion event leads to buffer queueing and thus to an increasing end-to-end delay. In the case of delay sensitive applications, a large delay might not be acceptable and a…

Networking and Internet Architecture · Computer Science 2017-01-23 Stefano D'Aronco , Laura Toni , Sergio Mena , Xiaoqing Zhu , Pascal Frossard

Municipal 311 call centers and complaint intake systems face a structural mismatch between incoming volume and classification capacity. The staff and heuristics available to triage, route, and prioritize complaints cannot scale with demand.…

Delay or queue length information has the potential to influence the decision of a customer to use a service system. Thus, it is imperative for service system managers to understand how the information that they provide will affect the…

Optimization and Control · Mathematics 2016-10-07 Jamol Pender , Richard H. Rand , Elizabeth Wesson

In autonomous mobility-on-demand systems, effectively managing vehicle flows to mitigate induced congestion and ensure efficient operations is imperative for system performance and positive customer experience. Against this background, we…

Optimization and Control · Mathematics 2025-06-25 Antonio Coppola , Gerhard Hiermann , Dario Paccagnan , Maximilian Schiffer

We consider the $N$-model queueing system with a waiting time dependent threshold on the diagonal: the service discipline is First--Come--First--Served, but type-1 jobs can only be served by server 2 if their waiting time exceeds a…

Probability · Mathematics 2025-11-17 Sanne van Kempen , Elene Anton , Fiona Sloothaak

We consider a generalized processing system having several queues, where the available service rate combinations are fluctuating over time due to reliability and availability variations. The objective is to allocate the available resources,…

Networking and Internet Architecture · Computer Science 2011-05-04 Kevin Ross , Nicholas Bambos , George Michailidis

Denied boarding in congested transit systems induces queuing delays and departure-time shifts that can reshape passenger flows. Correctly modeling these responses in transit assignment hinges on the enforcement of two priority rules:…

Computer Science and Game Theory · Computer Science 2026-01-13 Liyang Feng , Hanlin Sun , Yu Marco Nie , Jun Xie , Jiayang Li

In this paper, we consider a new queueing model where queues balance themselves according to a mean field interaction with a time delay. Unlike other work with delayed information our model considers multi-server queues with customer…

Dynamical Systems · Mathematics 2021-12-14 Philip Doldo , Jamol Pender

The evolution of Large Language Model (LLM) serving towards complex, distributed architectures--specifically the P/D-separated, large-scale DP+EP paradigm--introduces distinct scheduling challenges. Unlike traditional deployments where…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-19 Jian Tian , Shuailong Li , Yang Cao , Wenbo Cui , Minghan Zhu , Wenkang Wu , Jianming Zhang , Yanpeng Wang , Zhiwen Xiao , Zhenyu Hou , Dou Shen

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

Quality of service (QoS) provisioning in next-generation mobile communications systems entails a deep understanding of the delay performance. The delay in wireless networks is strongly affected by the traffic arrival process and the service…

Information Theory · Computer Science 2018-04-23 Marios Kountouris , Nikolaos Pappas , Apostolos Avranas
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