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A Two-Stage Optimal Time-Space Model of Nuclear Radiation Control, Health Protection, and Cost Minimization

Author

Listed:
  • Carmen Camacho

    (PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Rodolphe Desbordes

    (SKEMA Business School - SKEMA Business School)

  • Herb Kunze

    (Department of Mathematics and Statistics, University of Guelph)

  • Davide La Torre

    (SKEMA Business School - SKEMA Business School)

Abstract

We present a two-stage optimal control model with space and time dimensions to analyze the diffusion of radiations from a nuclear radiation source. The first stage of the model considers the optimal policy to contain the emissions generated from a nuclear radiation source which are diffusing and contaminating the surrounding territories. The second stage, instead, seeks to determine the best location for the nuclear radiation source by minimizing the cost of containment and maximizing the distance from population centers. We illustrate our approach through different numerical examples and we also provide a real case study by using available data from Chernobyl.

Suggested Citation

  • Carmen Camacho & Rodolphe Desbordes & Herb Kunze & Davide La Torre, 2023. "A Two-Stage Optimal Time-Space Model of Nuclear Radiation Control, Health Protection, and Cost Minimization," Working Papers hal-04287224, HAL.
    • Handle: RePEc:hal:wpaper:hal-04287224
    Note: View the original document on HAL open archive server: https://hal.science/hal-04287224
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