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Facility Location Decisions with Random Disruptions and Imperfect Estimation

Author

Listed:
  • Michael K. Lim

    (Department of Business Administration, University of Illinois at Urbana–Champaign, Champaign, Illinois 61820)

  • Achal Bassamboo

    (Department of Managerial Economics and Decision Sciences, Northwestern University, Evanston, Illinois 60208)

  • Sunil Chopra

    (Department of Managerial Economics and Decision Sciences, Northwestern University, Evanston, Illinois 60208)

  • Mark S. Daskin

    (Department of Industrial and Operations Engineering, University of Michigan, Ann Arbor, Michigan 48109)

Abstract

Supply chain disruptions come with catastrophic consequences in spite of their low probability of occurrence. In this paper, we consider a facility location problem in the presence of random facility disruptions where facilities can be protected with additional investments. Whereas most existing models in the literature implicitly assume that the disruption probability estimate is perfectly accurate, we investigate the impact of misestimating the disruption probability. Using a stylized continuous location model, we show that underestimation in disruption probability results in greater increase in the expected total cost than overestimation. In addition, we show that, when planned properly, the cost of mitigating the misestimation risk is not too high. Under a more generalized setting incorporating correlated disruptions and finite capacity, we numerically show that underestimation in both disruption probability and correlation degree result in greater increase in the expected total cost compared to overestimation. We, however, find that the impact of misestimating the correlation degree is much less significant relative to that of misestimating the disruption probability. Thus, managers should focus more on accurately estimating the disruption probability than the correlation.

Suggested Citation

  • Michael K. Lim & Achal Bassamboo & Sunil Chopra & Mark S. Daskin, 2013. "Facility Location Decisions with Random Disruptions and Imperfect Estimation," Manufacturing & Service Operations Management, INFORMS, vol. 15(2), pages 239-249, May.
    • Handle: RePEc:inm:ormsom:v:15:y:2013:i:2:p:239-249
    DOI: 10.1287/msom.1120.0413
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    References listed on IDEAS

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    1. Yanfeng Ouyang & Carlos F. Daganzo, 2006. "Discretization and Validation of the Continuum Approximation Scheme for Terminal System Design," Transportation Science, INFORMS, vol. 40(1), pages 89-98, February.
    2. Tang, Christopher S., 2006. "Perspectives in supply chain risk management," International Journal of Production Economics, Elsevier, vol. 103(2), pages 451-488, October.
    3. Jian Li & Jia Chen & Shouyang Wang, 2011. "Risk Management of Supply and Cash Flows in Supply Chains," International Series in Operations Research and Management Science, Springer, number 978-1-4614-0511-5, September.
    4. Jun Wu & Jian Li & Jia Chen & Yingxue Zhao & Shouyang Wang, 2011. "Risk management in supply chains," International Journal of Revenue Management, Inderscience Enterprises Ltd, vol. 5(2/3), pages 157-204.
    5. Opher Baron & Oded Berman & Dmitry Krass, 2008. "Facility Location with Stochastic Demand and Constraints on Waiting Time," Manufacturing & Service Operations Management, INFORMS, vol. 10(3), pages 484-505, August.
    6. Sunil Chopra & Gilles Reinhardt & Usha Mohan, 2007. "The importance of decoupling recurrent and disruption risks in a supply chain," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(5), pages 544-555, August.
    7. Rajan Batta & Narasimha R. Mannur, 1990. "Covering-Location Models for Emergency Situations That Require Multiple Response Units," Management Science, INFORMS, vol. 36(1), pages 16-23, January.
    8. Mozart Menezes & O. Berman & D. Krass, 2007. "Facility Reliability Issues in Network p-Median Problems: Strategic Centralization and Co-location Effects," Post-Print halshs-00170396, HAL.
    9. 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.
    10. Hasan Pirkul & David A. Schilling, 1988. "The Siting of Emergency Service Facilities with Workload Capacities and Backup Service," Management Science, INFORMS, vol. 34(7), pages 896-908, July.
    11. Tingting Cui & Yanfeng Ouyang & Zuo-Jun Max Shen, 2010. "Reliable Facility Location Design Under the Risk of Disruptions," Operations Research, INFORMS, vol. 58(4-part-1), pages 998-1011, August.
    12. Cui, Tingting & Ouyang, Yanfeng & Shen, Zuo-Jun Max J, 2010. "Reliable Facility Location Design under the Risk of Disruptions," University of California Transportation Center, Working Papers qt5sh2c7pw, University of California Transportation Center.
    13. Dasci, Abdullah & Verter, Vedat, 2001. "A continuous model for production-distribution system design," European Journal of Operational Research, Elsevier, vol. 129(2), pages 287-298, March.
    14. Michael Lim & Mark S. Daskin & Achal Bassamboo & Sunil Chopra, 2010. "A facility reliability problem: Formulation, properties, and algorithm," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(1), pages 58-70, February.
    15. Langevin, André & Mbaraga, Pontien & Campbell, James F., 1996. "Continuous approximation models in freight distribution: An overview," Transportation Research Part B: Methodological, Elsevier, vol. 30(3), pages 163-188, June.
    16. Li, Xiaopeng & Ouyang, Yanfeng, 2010. "A continuum approximation approach to reliable facility location design under correlated probabilistic disruptions," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 535-548, May.
    17. Lawrence V. Snyder & Mark S. Daskin, 2005. "Reliability Models for Facility Location: The Expected Failure Cost Case," Transportation Science, INFORMS, vol. 39(3), pages 400-416, August.
    18. Ben-Tal, Aharon & Chung, Byung Do & Mandala, Supreet Reddy & Yao, Tao, 2011. "Robust optimization for emergency logistics planning: Risk mitigation in humanitarian relief supply chains," Transportation Research Part B: Methodological, Elsevier, vol. 45(8), pages 1177-1189, September.
    19. Michael O. Ball & Feng L. Lin, 1993. "A Reliability Model Applied to Emergency Service Vehicle Location," Operations Research, INFORMS, vol. 41(1), pages 18-36, February.
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