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This paper presents a new method for deriving the waiting time distribution of the lowest class in an accumulating priority (AP) queue with positive L\'evy input. The priority of a non-atomic customer (particle) is a function of their class…

Probability · Mathematics 2017-04-12 Offer Kella , Liron Ravner

Amid unprecedented times caused by COVID-19, healthcare systems all over the world are strained to the limits of, or even beyond, capacity. A similar event is experienced by some healthcare systems regularly, due to for instance seasonal…

Performance · Computer Science 2020-04-30 Binyamin Oz , Seva Shneer , Ilze Ziedins

The performance of Emergency Departments (EDs) is of great importance for any health care system, as they serve as the entry point for many patients. However, among other factors, the variability of patient acuity levels and corresponding…

Machine Learning · Computer Science 2022-06-09 Nikolaus Furian , Michael O'Sullivan , Cameron Walker , Melanie Reuter-Oppermann

We introduce the prioritising exclusion process, a stochastic scheduling mechanism for a priority queueing system in which high priority customers gain advantage by overtaking low priority customers. The model is analogous to a totally…

Statistical Mechanics · Physics 2014-07-23 Jan de Gier , Caley Finn

We consider a service system with an infinite number of exponential servers sharing a finite service capacity. The servers are ordered according to their speed, and arriving customers join the fastest idle server. A capacity allocation is…

Probability · Mathematics 2018-08-23 Refael Hassin , Liron Ravner

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

This paper studies the problem of utility maximization for clients with delay based QoS requirements in wireless networks. We adopt a model used in a previous work that characterizes the QoS requirements of clients by their delay…

Networking and Internet Architecture · Computer Science 2009-08-05 I-Hong Hou , P. R. Kumar

In this report, we study the packet delay as a QoS metric in CR systems. The packet delay includes the queue waiting time and the service time. In this work, we study the effect of both the scheduling and the power allocation algorithms on…

Information Theory · Computer Science 2016-01-05 Ahmed Ewaisha

We explore the achievable delay performance in wireless random-access networks. While relatively simple and inherently distributed in nature, suitably designed queue-based random-access schemes provide the striking capability to match the…

Networking and Internet Architecture · Computer Science 2013-05-17 Niek Bouman , Sem Borst , Johan van Leeuwaarden

This paper considers the mean waiting times in discrete-time preemptive-resume and nonpreemptive priority single-server queues fed by K independent batch Markovian arrival streams with geometrically distributed idle periods. While being…

Probability · Mathematics 2026-04-28 Tetsuya Takine

We compare different approximations for the wait time in distribution networks, in which all warehouses use an (R,Q)-order policy. Reporting on the results of extensive computational experiments, we evaluate the quality of several…

Applications · Statistics 2018-01-30 Christopher Grob , Andreas Bley

In this paper we consider a single-server polling system with switch-over times. We introduce a new service discipline, mixed gated/exhaustive service, that can be used for queues with two types of customers: high and low priority…

Probability · Mathematics 2014-08-04 Marko Boon , Ivo Adan

Motivated by interest in providing more efficient services in customer service systems, we use statistical learning methods and delay history information to predict the conditional distribution of the customers' waiting times in queueing…

Performance · Computer Science 2019-12-19 Majid Raeis , Ali Tizghadam , Alberto Leon-Garcia

Max weighted queue (MWQ) control policy is a widely used cross-layer control policy that achieves queue stability and a reasonable delay performance. In most of the existing literature, it is assumed that optimal MWQ policy can be obtained…

Systems and Control · Computer Science 2013-11-20 Junting Chen , Vincent K. N. Lau

This work provides the first concurrent implementation specifically designed for a double-ended priority queue (DEPQ). We do this by describing a general way to add an ExtractMax operation to any concurrent priority queue that already…

Data Structures and Algorithms · Computer Science 2025-08-20 Panagiota Fatourou , Eric Ruppert , Ioannis Xiradakis

In many cognitive radio applications, there are multiple types of message queues. Existing queueing analysis works in underlay CR networks failed to discuss packets heterogeneity. Therefore high priority packets with impatient waiting time…

Networking and Internet Architecture · Computer Science 2017-06-27 Long Chen , Liusheng Huang , Hongli Xu , Jie Hu

Effective patient queue management to minimize patient wait delays and patient overcrowding is one of the major challenges faced by hospitals. Unnecessary and annoying waits for long periods result in substantial human resource and time…

Computers and Society · Computer Science 2019-11-26 Jianguo Chen , Kenli Li , Zhuo Tang , Kashif Bilal , Keqin Li

Retailers use a variety of mechanisms to enable sales and delivery. A relatively new offering by companies is curbside pickup where customers purchase goods online, schedule a pickup time, and come to a pickup facility to receive their…

Optimization and Control · Mathematics 2020-05-27 Bahar Çavdar , Tuğçe Işık

Consider the problem of a multi-user multiple access channel. While several multi-user coding techniques exist, in practical scenarios, not all users can be scheduled simultaneously. Thus, a key problem is which users to schedule in a given…

Information Theory · Computer Science 2015-07-14 Ori Shmuel , Asaf Cohen , Omer Gurewitz

For general multi-hop queueing networks, delay optimal network control has unfortunately been an outstanding problem. The dynamic backpressure (BP) algorithm elegantly achieves throughput optimality, but does not yield good delay…

Information Theory · Computer Science 2015-04-22 Ying Cui , Edmund M. Yeh , Ran Liu
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