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If the Virus Respected Queues
Kherani, Nomaan A.
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https://hdl.handle.net/2142/130275
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.
Owning Collections
61st Allerton Conference - 2025 PRIMARY
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