In collaboration with Payame Noor University and the Iranian Society of Instrumentation and Control Engineers

Document Type : Research Article


1 Department of Mathematics‎, ‎University of Payame Noor (PNU)‎, P.O‎. ‎Box 19395-4697‎, ‎Tehran‎, ‎Iran

2 Department of Management, University of Payame Noor (PNU), P.O. Box 19395-4697, Tehran, Iran.



Natural disasters‎, ‎such as earthquakes‎, ‎result in significant financial and human losses‎. ‎Rescue operations play a crucial role in managing such crises‎. ‎However‎, ‎the lack of precise information and the damage or destruction of urban transportation routes following earthquakes introduces uncertainty into these operations‎. ‎This study presents a multi-objective humanitarian logistics model that utilizes a mixed-integer nonlinear programming (MINLP) approach‎. ‎The model considers the reliability of transportation routes after an earthquake‎, ‎the standard response time for allocating personnel and relief equipment‎, ‎and the coverage maximization‎. ‎This model incorporates various uncertainties‎, ‎including the reliability of the transportation network‎. ‎Real data from the city of Gonabad‎, ‎Iran‎, ‎was used to evaluate the proposed model‎. ‎The results and sensitivity analysis demonstrated that the model exhibits desirable performance‎.


Main Subjects

[1] Ahmadi, M., Seifi, A., Tootooni, B. (2015). “A humanitarian logistics model for disaster relief operation considering network failure and standard relief time: A case study on San Francisco district”, Transportation Research Part E: Logistics and Transportation Review, 75, 145-163.
[2] Alcántara-Ayala, I. (2002). “Geomorphology, natural hazards, vulnerability and prevention of natural disasters in developing countries”, Geomorphology, 47(2-4), 107-124.
[3] Altay, N., Green III, W.G. (2006). “ OR/MS research in disaster operations management’’, European Journal of Operational Research”, 175(1), 475-493.
[4] Balcik, B., Beamon, B.M. (2008). “Facility location in humanitarian relief”, International Journal of Logistics, 11(2), 101-121.
[5] Bozorgi Amiri, A., Mansoori, S., Pishvaee, M.S. (2017). “Multi-objective relief chain network design for earthquake response under uncertainties”, Journal of Industrial Management Perspective, 7(1, Spring 2017), 9-36.
[6] Chen, D., Ding, F., Huang, Y., Sun, D. (2018). “Multi-objective optimisation model of emergency material allocation in emergency logistics: A view of utility, priority and economic principles”, International Journal of Emergency Management, 14(3), 233-253.
[7] Ehrgott, M. (2005). “Multicriteria optimization”, Springer Science & Business Media.
[8] Fereiduni, M., Shahanaghi, K. (2017). “A robust optimization model for distribution and evacuation in the disaster response phase”, Journal of Industrial Engineering International, 13, 117-141.
[9] Ghassemi, M.R. (2016). “Surface ruptures of the Iranian earthquakes 1900–2014: Insights for earthquake fault rupture hazards and empirical relationships”. Earth-science reviews, 156, 1-13.
[10] Hallegatte, S., Vogt-Schilb, A., Rozenberg, J., Bangalore, M., Beaudet, C. (2020). “From poverty to disaster and back: A review of the literature”. Economics of Disasters and Climate Change, 4, 223-247.
[11] Hashemi Borzabadi, A., Hasanabadi, M., Sadjadi, N. (2016). “Approximate Pareto optimal solutions of multi objective optimal control problems by evolutionary algorithms”, Control and Optimization in Applied Mathematics, 1(1), 1-19.
[12] Hermann, C.F. (1972). “Indicators of international political crises: Some initial steps toward prediction”, in Paper for the Conference “The political System in Crisis” at the Otto-Suhr-Institute of the Freie UniversiUit Berlin (I0.-13.1. 1972).
[13] Kleber, R.J., Figley, C.R., Gersons, B.P. (Eds.). (2013). Beyond trauma: Cultural and societal dynamics. Springer Science & Business Media.
[14] Maharjan, R., Hanaoka, S. (2018). “A multi-actor multi-objective optimization approach for locating temporary logistics hubs during disaster response”, Journal of Humanitarian Logistics and Supply Chain Management, 8(1), 2-21.
[15] Mahdavi, I., Aalaei, A., Paydar, M.M., Solimanpur, M. (2010). “Designing a mathematical model for dynamic cellular manufacturing systems considering production planning and worker assignment”, Computers & Mathematics with Applications, 60(4), 1014-1025.
[16] Mitsotakis,A.,Kassaras,G.(2010).“Managing disaster in the Ionian Sea: Planning and optimizing logistics for disaster relief operations for the island of Kefalonia”.
[17] Nikjoo, N., Javadian, N. (2019). “A multi-objective robust optimization logistics model in times of crisis under uncertainty”, Journal of Industrial Management Perspective, 8(4, Winter 2019), 121-147.
[18] Nour, A.R., Kamali, A.M. (2009). “A weighted metric method to optimize multi-response robust problems”. Journal of Industrial engineering International, 5(8), 10-19.
[19] Sahebjamnia, N., Torabi, S.A., Mansouri, S.A. (2017). “A hybrid decision support system for managing humanitarian relief chains”, Decision Support Systems, 95, 12-26.
[20] ‎Salehi‎, ‎M.‎, ‎Jabarpour‎, E‎. ‎(2020)‎. ‎``Modeling and solving a multi-objective location-routing problem considering the evacuation of casualties and homeless people and fuzzy paths in relief logistics''‎, ‎Control and Optimization in Applied Mathematics‎, ‎5(1)‎, ‎41-65‎.
[21] Subramaniam, P. (2023). “Multi-objective Optimization for Equitable Post-Disaster Relief Supply Distribution”. DH Vergara. Available at SSRN 4798520.
[22] Sun, H., Wang, Y., Xue, Y. (2021). “A bi-objective robust optimization model for disaster response planning under uncertainties”, Computers & Industrial Engineering, 155, 107213.
[23] Tafahomi, R. (2021). “Application of physical and nonphysical elements in the conservation of historic core of city”, South African Journal of Geomatics, 10(1), 75-86.
[24] Van Zutphen, T. (2011). “Sphere project–humanitarian charter and minimum standards in humanitarian response”, Rugby, Warwickshire, UK: Practical Action Publishing [Preprint].
[25] Veysmoradi, D.,  Vahdani, B., Farhadi Sartangi, M.,  Mousavi, S.M.  (2018). “Multi-objective open location-routing model for relief distribution networks with split delivery and multi-mode transportation under uncertainty”, Scientia Iranica, 25(6), 3635-3653.
[26] Wald, D.J. (2020). “Practical limitations of earthquake early warning”. Earthquake Spectra, 36(3), 1412-1447.
[27] Wallemacq, P., Below, R., McClean, D. (2018). “Economic losses, poverty & disasters: 1998-2017”, United Nations Office for Disaster Risk Reduction.
[28] Kreimer, A., Arnold, M. (Eds.). (2000). “Managing disaster risk in emerging economies”. World Bank Publications (Vol. 2).
[29] Zarrinpoor, N., Aray, Z., Sheikholeslami, M. (2023).“ A robust-stochastic optimization approach for designing relief logistics operations under network disruption”, International Journal of Supply and Operations Management, 10(3), 271-294.