论文标题

基于代理的网络爵士流行病的分布式控制

An Agent-Based Distributed Control of Networked SIR Epidemics

论文作者

Mubarak, Mohammad, Nowzari, Cameron

论文摘要

本文讨论了关于人类接触网络对流行过程的分布式控制的长期关注问题。由于问题的随机性质和组合复杂性,即使对于小型网络来说,找到最佳策略也很棘手。即使可以有效地找到解决方案,也可能更大的问题是,当面对网络中的小型干扰或不合作的药物时,此类政策却很脆弱。与该领域的绝大多数相关作品不同,我们规定了直接解决棘手的目标,而是寻求简单的控制策略来解决这一问题。更具体地说,基于向特定人提供的本地可用信息,该人应该如何利用此信息来尽可能多地进行社交,同时确保某些预期的安全水平?我们使用众所周知的Markov链易受感染回热(SIR)模型将其设置为有限的时间最佳控制问题。利用文献结果,我们采用了常用的均值近似(MFA)技术来放松问题。我们将解决这个问题的解决方案表明是对该人邻居感染的机会的一种阈值。模拟说明了我们的结果。

This paper revisits a longstanding problem of interest concerning the distributed control of an epidemic process on human contact networks. Due to the stochastic nature and combinatorial complexity of the problem, finding optimal policies are intractable even for small networks. Even if a solution could be found efficiently enough, a potentially larger problem is such policies are notoriously brittle when confronted with small disturbances or uncooperative agents in the network. Unlike the vast majority of related works in this area, we circumvent the goal of directly solving the intractable and instead seek simple control strategies to address this problem. More specifically, based on the locally available information to a particular person, how should that person make use of this information to socialize as much as possible while ensuring some desired level of safety? We set this up as a finite time optimal control problem using a well known exact Markov chain Susceptible-Infected-Removed (SIR) model. Leveraging results from the literature, we employ a commonly used mean-field approximation (MFA) technique to relax the problem. We show solution of this problem to be a form of threshold on the chance of infection of the neighbors of that person. Simulations illustrate our results.

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