If the Virus Respected Queues

Kherani, Nomaan A.

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https://hdl.handle.net/2142/130275 Copy

Description

Title

If the Virus Respected Queues

Author(s)

Kherani, Nomaan A.

Issue Date

2025-09-17

Keyword(s)

• Queueing theory
• Epidemiological modeling
• Stochastic processes

Abstract

We study an infinite server queueing system model that could be used for analyzing the spread of a virus in a facility. We assume the spread of the virus follows the well-established Close Contact Time (CCT) model. We compare the economic reward of running the facility against the risk of contracting the virus. This is done by explicitly modeling the probability of a susceptible individual leaving the facility uninfected by modeling the dynamics as an M/G/∞ queue. We obtain additional structural results for the special cases of M/M/∞ and M/D/∞ queues and compare the risk inflicted on a customer in these two facilities. We also look at operational considerations for the facility and qualitative method to improve customer safety in M/M/∞ queues.

Publisher

Allerton Conference on Communication, Control, and Computing

Series/Report Name or Number

2025 61st Allerton Conference on Communication, Control, and Computing Proceedings

ISSN

2836-4503

Type of Resource

Text

Genre of Resource

Conference Paper/Presentation

Language

eng

Handle URL

https://hdl.handle.net/2142/130275&&

Copyright and License Information

Copyright 2025 is held by Nomaan A. Kherani.

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