Decision-dependent distributionally robust Markov decision process method in dynamic epidemic control.

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Title: Decision-dependent distributionally robust Markov decision process method in dynamic epidemic control.
Authors: Song, Jun1 (AUTHOR), Yang, William1 (AUTHOR), Zhao, Chaoyue1 (AUTHOR) cyzhao@uw.edu
Source: IISE Transactions. Apr2024, Vol. 56 Issue 4, p458-470. 13p.
Subjects: Markov processes, Real-time programming, Epidemics, Dynamic programming, Infectious disease transmission, Computational neuroscience
Abstract: In this article, we present a Distributionally Robust Markov Decision Process (DRMDP) approach for addressing the dynamic epidemic control problem. The Susceptible-Exposed-Infectious-Recovered (SEIR) model is widely used to represent the stochastic spread of infectious diseases, such as COVID-19. Although the Markov Decision Process (MDP) offers a mathematical framework for identifying optimal actions, such as vaccination and transmission-reducing intervention, to combat disease spread calculated using the SEIR model. However, uncertainties in these scenarios demand a more robust approach that is less reliant on error-prone assumptions. The primary objective of our study is to introduce a new DRMDP framework that allows for an ambiguous distribution of transition dynamics. Specifically, we consider the worst-case distribution of these transition probabilities within a decision-dependent ambiguity set. To overcome the computational complexities associated with policy determination, we propose an efficient Real-Time Dynamic Programming (RTDP) algorithm that is capable of computing optimal policies based on the reformulated DRMDP model in an accurate, timely, and scalable manner. Comparative analysis against the classic MDP model demonstrates that the DRMDP achieves a lower proportion of infections and susceptibilities at a reduced cost. [ABSTRACT FROM AUTHOR]
Copyright of IISE Transactions is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Decision-dependent distributionally robust Markov decision process method in dynamic epidemic control.
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  Data: <searchLink fieldCode="DE" term="%22Markov+processes%22">Markov processes</searchLink><br /><searchLink fieldCode="DE" term="%22Real-time+programming%22">Real-time programming</searchLink><br /><searchLink fieldCode="DE" term="%22Epidemics%22">Epidemics</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamic+programming%22">Dynamic programming</searchLink><br /><searchLink fieldCode="DE" term="%22Infectious+disease+transmission%22">Infectious disease transmission</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+neuroscience%22">Computational neuroscience</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: In this article, we present a Distributionally Robust Markov Decision Process (DRMDP) approach for addressing the dynamic epidemic control problem. The Susceptible-Exposed-Infectious-Recovered (SEIR) model is widely used to represent the stochastic spread of infectious diseases, such as COVID-19. Although the Markov Decision Process (MDP) offers a mathematical framework for identifying optimal actions, such as vaccination and transmission-reducing intervention, to combat disease spread calculated using the SEIR model. However, uncertainties in these scenarios demand a more robust approach that is less reliant on error-prone assumptions. The primary objective of our study is to introduce a new DRMDP framework that allows for an ambiguous distribution of transition dynamics. Specifically, we consider the worst-case distribution of these transition probabilities within a decision-dependent ambiguity set. To overcome the computational complexities associated with policy determination, we propose an efficient Real-Time Dynamic Programming (RTDP) algorithm that is capable of computing optimal policies based on the reformulated DRMDP model in an accurate, timely, and scalable manner. Comparative analysis against the classic MDP model demonstrates that the DRMDP achieves a lower proportion of infections and susceptibilities at a reduced cost. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of IISE Transactions is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1080/24725854.2023.2219281
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 13
        StartPage: 458
    Subjects:
      – SubjectFull: Markov processes
        Type: general
      – SubjectFull: Real-time programming
        Type: general
      – SubjectFull: Epidemics
        Type: general
      – SubjectFull: Dynamic programming
        Type: general
      – SubjectFull: Infectious disease transmission
        Type: general
      – SubjectFull: Computational neuroscience
        Type: general
    Titles:
      – TitleFull: Decision-dependent distributionally robust Markov decision process method in dynamic epidemic control.
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            NameFull: Song, Jun
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            NameFull: Yang, William
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            NameFull: Zhao, Chaoyue
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            – D: 01
              M: 04
              Text: Apr2024
              Type: published
              Y: 2024
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