A Multi-Period Robust Model for Fair Allocation of Rescue Resources After Natural Disasters

Document Type : Research Paper

Authors

1 School of Industrial Engineering, College of Engineering, University of Tehran

2 School of Industrial Engineering, Sharif University of Technology

Abstract

Effective planning and execution of rescue operations play a vital role in the survival rate of impacted people in natural disasters. Given the scarcity of resources vs. the rescue demand magnitude and the time pressure in the operations, this becomes even more crucial in saving more lives. This paper presents a mixed integer multi-period optimization model for rescue teams’ allocation in the disaster-affected districts. The presented model maximizes the minimum effective coverage of demand over the impacted districts as the fairness satisfaction. Due to the sensitivity of operations to the time loss, the allocation decision in each period is characterized by an effectiveness measure. To count for the coordination of teams in the response operations, transshipment of resources between affected districts and the possibility of releasing them from rescue operations to other missions are considered. To count for the uncertain disaster environment, an interval-data robust optimization is adopted. Being inspired by the results of earthquake floating scenario in Tehran region 6, the mathematical model is run and analyzed. The results analysis highlights the importance of training local teams and planning for neighbor regions’ resource back-up to provide timely availability of rescue teams. The developed model is also capable of providing the disaster managers in earlier stages of disaster management cycle with practical managerial insights for assessing and prioritizing their options for resource capacity building and structures’ resistance to the earthquake.

Keywords


اشراق نیای جهرمی، عبدالحمید و محمد دانشور کاخکی (1384)؛ "مدلی جهت تقسیم‌بندی مناطق آسیب دیده از زلزله در زمان جستجو و نجات"، کنفرانس بین المللی مهندسی صنایع، دوره 4، 20 تا 21 آذر.
راسخ، ابوالفضل و علیرضا وفایی نژاد (1393)؛ "طراحی و شبیه‌سازی مدل صف عملیات امداد و نجات زلزله به کمک سامانه‌ی اطلاعات جغرافیایی (GIS)"، دو فصلنامه علمی پژوهشی مدیریت بحران، دوره 3، شماره 2، صص 25-36.
خوش سیرت، مازیار؛ دباغ، رحیم و علی بزرگی امیری (1397)؛ "ارائه مدل خرید اقلام امدادی تحت مناقصه معکوس چند شاخصه با به‌کارگیری رویکرد ترکیبی برنامه‌ریزی فازی چندهدفه"، فصلنامه پژوهشنامه بازرگانی، شماره 86، صص 189-218
سرشماری جمعیت سال 90، مرکز آمار ایران (http://nnt.sci.org.ir)
کاویانپور اصفهانی، سارا و فریبرز جولای (1394)؛ "ارائه‌ی یک مدل لجستیک بشردوستانه برای فاز پاسخگویی مدیریت بحران با استفاده از تخصیص داوطلبین امداد"، کنگره بین المللی مهندسی عمران، دوره 10، 15 تا 17 اردیبهشت.
 
Altay, N. and W.G. Green (2006); “OR/MS research in disaster operations management”, European Journal of Operational Research, Vol. 175, No. 1, pp. 475-493.
Ambraseys, N. N. and C.P. Melville (1977); “The seismicity of Kuhistan, Iran”, Geography Journal, Vol.143, pp. 179-199.
Bertsimas, D.; Brown, D.B. and C. Caramanis (2011); “Theory and applications of robust optimization” SIAM Review, Vol. 53, No. 3, pp. 464-501.
Bertsimas, D. and M. Sim (2004); “The price of robustness”, Operations Research, Vol. 52, No. 1, pp. 35-53.
Bertsimas, D. and A. Thiele (2006); “A robust optimization approach to inventory theory”, Operations Research, Vol. 54, No. 1, pp. 150-168.
Comfort, L.K.; Ko, K. and A. Zagorecki (2004); ”Coordination in rapidly evolving disaster response systems the role of information” American Behavioral Scientist, Vol. 48, No. 3, pp. 295-313 .
Chu, X. and Q.Y. Zhong (2015); “Post-earthquake allocation approach of medical rescue teams”, Natural Hazards, Vol. 70, No. 3, pp. 1809-1824.
Fei, L.; Deng, Y. and Y. Hu (2019); “DS-VIKOR: a new multi-criteria decision-making method for supplier selection”, International Journal of Fuzzy Systems, Vol. 21, No. 1, pp. 157-175.
Fiedrich, F.; Gehbauer, F. and U. Rickers (2000); “Optimized resource allocation for emergency response after earthquake disasters”, Safety Science, Vol. 35, pp. 41-57.
Hu, C. L.; Liu, X. and Y.K. Hua (2016); “A bi-objective robust model for emergency resource allocation under uncertainty”, International Journal of Production Research, Vol. 54, No. 24, pp. 7421-7438.
Japan International Cooperation Agency (JICA) (2000); “The study on seismic micro-zoning of the greater Tehran area in the Islamic Republic of Iran”, Main Report.
Najafi, M.; Eshghi, K. and W. Dullaert (2013); ”A multi-objective robust optimization model for logistics planning in the earthquake response phase”, Transportation Research - Part E, Vol. 49, pp. 217-249.
Statheropoulos, M.; Agapiou, A.; Pallis, G.C.; Mikedi, K.; Karma, S.; VAmvakarri, J.; Dandoulaki, M.; Andritsos, F. and C.L. Paul Thomas (2015); “Factors that affect rescue time in urban search and rescue (USAR) operations”, Natural Hazards, Vol. 75, pp. 57-69.
Su, Z.; Zhang, G.; Liu, Y.; Yue, F. and J. Jiang (2016); “Multiple emergency resource allocation for concurrent incidents in natural disasters”, International Journal of Disaster Risk Reduction, Vol.17, pp. 199-212.
Xiang, Y. and J. Zhuang (2016); “A medical resource allocation model for serving emergency victims with deteriorating health conditions”, Annals of Operations Research, Vol. 236, pp. 177-196.
Yu, L.; Zhang, C.; Yang, H and L. Miao (2018); “Novel methods for resource allocation in humanitarian logistics considering human suffering”, Computers and Industrial Engineering, Vol. 119, pp. 1-20.
Zhang, J.H.; Li, J. and Z.P. Liu (2012); “Multiple-resource and multiple-depot emergency response problem considering secondary disasters”, Expert Systems with Applicatio