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An integer linear programming formulation for removing nodes in a network to minimize the spread of influenza virus infections

Hadi Charkhgard (hcharkhgard***at***usf.edu)
Vignesh Subramanian (vigneshs***at***mail.usf.edu)
Walter Silva (silvasotillo***at***mail.usf.edu)
Tapas Das (das***at***usf.edu)

Abstract: We study the problem of minimizing the spread of influenza virus infections in (dynamic) networks of people by isolating sick nodes (or vaccinating susceptible nodes) over time. This can be viewed as removing nodes with certain characteristics from networks of people over time. We present a novel integer linear programming formulation for this problem such that several practical aspects of the spread of influenza virus infections are incorporated in that. A comprehensive computational study demonstrates the efficacy of the proposed formulation and several enhancement techniques.

Keywords: influenza, node removal, mixed integer linear programming

Category 1: Integer Programming

Category 2: Network Optimization

Citation:

Download: [PDF]

Entry Submitted: 01/26/2017
Entry Accepted: 01/26/2017
Entry Last Modified: 07/15/2017

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