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We collaborate with a large teaching hospital in Shenzhen, China and build a high-fidelity simulation model for its ultrasound center to predict key performance metrics, including the distributions of queue length, waiting time and sojourn…

In this paper, we investigate the number of customers that overlap or coincide with a virtual customer in an Erlang-A queue. Our study provides a novel approach that exploits fluid and diffusion limits for the queue to approximate the mean…

Probability · Mathematics 2025-07-02 Young Myoung Ko , Jamol Pender , Jin Xu

Background: Emergency department (ED) overcrowding remains a major challenge, causing delays in care and increased operational strain. Hospital management often reacts to congestion after it occurs. Machine learning predictive modeling…

Machine Learning · Computer Science 2025-04-29 Orhun Vural , Bunyamin Ozaydin , Khalid Y. Aram , James Booth , Brittany F. Lindsey , Abdulaziz Ahmed

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

With the advent of self-driving cars, experts envision autonomous mobility-on-demand services in the near future to cope with overloaded transportation systems in cities worldwide. Efficient operations are imperative to unlock such a…

Optimization and Control · Mathematics 2024-05-08 G. Hiermann , M. Schiffer

Location of depots and routing of emergency response units are assumed to be interdependent in the incident management system. System costs will be excessive if delay regarding routing decisions is ignored when locating response units. This…

Systems and Control · Computer Science 2015-04-21 Hyoshin Park , Ali Shafahi , Ali Haghani

In this paper, we consider modeling time-dependent multi-server queues that include abandonments and retrials. For the performance analysis of those, fluid and diffusion models called "strong approximations" have been widely used in the…

Probability · Mathematics 2009-11-13 Young Myoung Ko , Natarajan Gautam

Large-scale controlled evacuations require emergency services to select evacuation routes, decide departure times, and mobilize resources to issue orders, all under strict time constraints. Existing algorithms almost always allow for…

Artificial Intelligence · Computer Science 2015-05-12 Caroline Even , Andreas Schutt , Pascal Van Hentenryck

Providing uninterrupted response service is of paramount importance for emergency medical services, regardless of the operating scenario. Thus, reliable estimates of the time to the critical condition, under which there will be no available…

Physics and Society · Physics 2021-11-08 Pedro A. Pury

We focus on a particular connection between queueing and risk models in a multi-dimensional setting. We first consider the joint workload process in a queueing model with parallel queues and simultaneous arrivals at the queues. For the case…

Probability · Mathematics 2015-08-05 E. S. Badila , O. J. Boxma , J. A. C. Resing , E. M. M. Winands

In this paper, we investigate a multi-user offloading problem in the overlapping domain of a multi-server mobile edge computing system. We divide the original problem into two stages: the offloading decision making stage and the request…

Networking and Internet Architecture · Computer Science 2024-04-12 Siyu Wang , Bo Yang , Zhiwen Yu , Xuelin Cao , Yan Zhang , Chau Yuen

Network Virtualization is one of the key technologies for developing the future mobile networks. However, the performance of virtual mobile entities may not be sufficient for delivering the service required for future networks in terms of…

Networking and Internet Architecture · Computer Science 2016-05-11 Jonathan Prados-Garzon , Juan J. Ramos-Munoz , Pablo Ameigeiras , Pilar Andres-Maldonado , Juan M. Lopez Soler

We calculate asymptotics of the distribution of the number of customers in orbit in a two-class priority retrial $M/G/1$-type queueing model. In this model, priority customers wait in line while non-priority customers join an orbit and…

Probability · Mathematics 2018-01-23 Joris Walraevens , Dieter Claeys , Tuan Phung-Duc

We consider optimizing average queueing delay and average power consumption in a nonpreemptive multi-class M/G/1 queue with dynamic power control that affects instantaneous service rates. Four problems are studied: (1) satisfying per-class…

Optimization and Control · Mathematics 2011-01-17 Chih-ping Li , Michael J. Neely

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

This paper presents a queueing network approach to the analysis and control of mobility-on-demand (MoD) systems for urban personal transportation. A MoD system consists of a fleet of vehicles providing one-way car sharing service and a team…

Performance · Computer Science 2014-09-30 Rick Zhang , Marco Pavone

We introduce an extension of the M/M/1 queueing process with a spatial structure and excluded- volume effect. The rule of particle hopping is the same as for the totally asymmetric simple exclusion process (TASEP). A stationary-state…

Statistical Mechanics · Physics 2014-09-18 Chikashi Arita

Medical emergency departments are complex systems in which patients must be treated according to priority rules based on the severity of their condition. We develop a model of emergency departments using Petri nets with priorities,…

Optimization and Control · Mathematics 2025-05-06 Xavier Allamigeon , Pascal Capetillo , Stéphane Gaubert

Queueing-network models are developed for enhanced and next-generation 911 (E911 and NG911) systems, which capture both their cyber-components (communications, data-processing) and physical-world-elements (call takers, vehicle dispatch).…

Systems and Control · Electrical Eng. & Systems 2021-01-28 Mengran Xue , Sandip Roy

In this paper, we study a queueing model that incorporates patient reentrance to reflect patients' recurring requests for nurse care and their rest periods between these requests. Within this framework, we address two levels of…

Optimization and Control · Mathematics 2024-06-19 Wei Liu , Mengshi Lu , Pengyi Shi
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