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Optimising the Preparedness Capacity of Enterprise Resilience Using Mathematical Programming

Author

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  • Raquel Sanchis

    (Research Centre on Production Management and Engineering (CIGIP), Universitat Politècnica de València, Escuela Politécnica Superior de Alcoy, Calle Alarcón, 03801 Alcoy, Spain)

  • Alfonso Duran-Heras

    (Área de Ingeniería de Organización, Dpto. de Ingeniería Mecánica, Universidad Carlos III de Madrid, Avda. de la Universidad, 30, 28911 Leganés, Spain)

  • Raul Poler

    (Research Centre on Production Management and Engineering (CIGIP), Universitat Politècnica de València, Escuela Politécnica Superior de Alcoy, Calle Alarcón, 03801 Alcoy, Spain)

Abstract

In today’s volatile business arena, companies need to be resilient to deal with the unexpected. One of the main pillars of enterprise resilience is the capacity to anticipate, prevent and prepare in advance for disruptions. From this perspective, the paper proposes a mixed-integer linear programming (MILP) model for optimising preparedness capacity. Based on the proposed reference framework for enterprise resilience enhancement, the MILP optimises the activation of preventive actions to reduce proneness to disruption. To do so, the objective function minimizes the sum of the annual expected cost of disruptive events after implementing preventive actions and the annual cost of such actions. Moreover, the algorithm includes a constraint capping the investment in preventive actions and an attenuation formula to deal with the joint savings produced by the activation of two or more preventive actions on the same disruptive event. The management and business rationale for proposing the MILP approach is to keep it as simple and comprehensible as possible so that it does not require highly mathematically skilled personnel, thus allowing top managers at enterprises of any size to apply it effortlessly. Finally, a real pilot case study was performed to validate the mathematical formulation.

Suggested Citation

  • Raquel Sanchis & Alfonso Duran-Heras & Raul Poler, 2020. "Optimising the Preparedness Capacity of Enterprise Resilience Using Mathematical Programming," Mathematics, MDPI, vol. 8(9), pages 1-29, September.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1596-:d:414238
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    References listed on IDEAS

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    1. Albert Munoz & Michelle Dunbar, 2015. "On the quantification of operational supply chain resilience," International Journal of Production Research, Taylor & Francis Journals, vol. 53(22), pages 6736-6751, November.
    2. Benjamin R. Tukamuhabwa & Mark Stevenson & Jerry Busby & Marta Zorzini, 2015. "Supply chain resilience: definition, review and theoretical foundations for further study," International Journal of Production Research, Taylor & Francis Journals, vol. 53(18), pages 5592-5623, September.
    3. Gilly, Jean-Pierre & Kechidi, Med & Talbot, Damien, 2014. "Resilience of organisations and territories: The role of pivot firms," European Management Journal, Elsevier, vol. 32(4), pages 596-602.
    4. Brian Tomlin, 2006. "On the Value of Mitigation and Contingency Strategies for Managing Supply Chain Disruption Risks," Management Science, INFORMS, vol. 52(5), pages 639-657, May.
    5. Hamm, Robert M., 1991. "Selection of verbal probabilities: A solution for some problems of verbal probability expression," Organizational Behavior and Human Decision Processes, Elsevier, vol. 48(2), pages 193-223, April.
    6. Jafar Namdar & Xueping Li & Rupy Sawhney & Ninad Pradhan, 2018. "Supply chain resilience for single and multiple sourcing in the presence of disruption risks," International Journal of Production Research, Taylor & Francis Journals, vol. 56(6), pages 2339-2360, March.
    7. Ana Paula Barroso & Virginia Helena Machado & Virgilio Cruz Machado, 2011. "Supply Chain Resilience Using the Mapping Approach," Chapters, in: Pengzhong Li (ed.), Supply Chain Management, IntechOpen.
    8. Raquel Sanchis & Raúl Poler, 2019. "Enterprise Resilience Assessment—A Quantitative Approach," Sustainability, MDPI, vol. 11(16), pages 1-13, August.
    9. Monideepa Tarafdar & Sufian Qrunfleh, 2017. "Agile supply chain strategy and supply chain performance: complementary roles of supply chain practices and information systems capability for agility," International Journal of Production Research, Taylor & Francis Journals, vol. 55(4), pages 925-938, February.
    10. Tang, Christopher S., 2006. "Perspectives in supply chain risk management," International Journal of Production Economics, Elsevier, vol. 103(2), pages 451-488, October.
    11. Wapee Manopiniwes & Takashi Irohara, 2017. "Stochastic optimisation model for integrated decisions on relief supply chains: preparedness for disaster response," International Journal of Production Research, Taylor & Francis Journals, vol. 55(4), pages 979-996, February.
    12. Raquel Sanchis & Luca Canetta & Raúl Poler, 2020. "A Conceptual Reference Framework for Enterprise Resilience Enhancement," Sustainability, MDPI, vol. 12(4), pages 1-27, February.
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