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Enhancing mass vaccination programs with queueing theory and spatial optimization. [PDF]

open access: yesFront Public Health
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Approximating many-server queues by means of single-server queues

Advances in Applied Probability, 1978
Obtaining time dependent results for many server queues is, under general structural assumptions, a hard problem. This paper makes an attempt to approximate stochastically the behaviour of a general many server queue by using single server queues as stochastic bounds. We propose three alternative ways of constructing approximating single server queues.
Arjas, Elja, Lehtonen, Tapani
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Customer Abandonment in Many-Server Queues

Mathematics of Operations Research, 2010
We study G/G/n + GI queues in which customer patience times are independent, identically distributed following a general distribution. When a customer's waiting time in queue exceeds his patience time, the customer abandons the system without service.
J. G. Dai, Shuangchi He
openaire   +3 more sources

Algorithms for Time-Varying Networks of Many-Server Fluid Queues

INFORMS Journal on Computing, 2014
Motivated by large-scale service systems with network structure, we introduced in a previous paper a time-varying open network of many-server fluid queues with customer abandonment from each queue and time-varying proportional routing among the queues, and showed how performance functions can be determined.
Liu, Yunan, Whitt, Ward
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Staffing many‐server queues with autoregressive inputs

Naval Research Logistics (NRL), 2020
AbstractRecent studies reveal significant overdispersion and autocorrelation in arrival data at service systems such as call centers and hospital emergency departments. These findings stimulate the needs for more practical non‐Poisson customer arrival models, and more importantly, new staffing formulas to account for the autocorrelative features in the
Xu Sun, Yunan Liu
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Erratum to “On many-server queues in heavy traffic”

The Annals of Applied Probability, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Puhalskii, Anatolii A., Reed, Josh E.
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A Many-Server Queue with Service Interruptions

Operations Research, 1968
A steady-state M/M/N queuing system where each server is subject to random breakdowns of exponentially distributed duration is studied and analyzed. The moment generating function of the queue size is obtained in explicit form for N≦ 2. For larger values of N a numerical method is suggested.
Mitrani I, Avi-Itzhak B
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A Many Server Bulk Queue

Operations Research, 1966
In this study the theory of derived Markov chains is applied to a queuing system with n servers and group service. Application to a queuing system with only one server and group service or arrival in batches has been dealt with already. Although the quasi-derived Poisson servicing is not without its restrictions on the batch size distribution, it ...
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Queues with Many Servers and Impatient Customers

Mathematics of Operations Research, 2012
The asymptotic many-server queue with abandonments, G/GI/N + GI, is considered in the quality- and efficiency-driven (QED) regime. Here the number of servers and the offered load are related via the square-root rule, as the number of servers increases indefinitely.
Avishai Mandelbaum, Petar Momčilović
openaire   +1 more source

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