A Credibility-Based Chance-Constrained Transfer Point Location Model for the Relief Logistics Design (Case Study: Earthquake Disaster on Region 1 of Tehran City)

Document Type : Research Paper


1 School of Industrial Engineering, Iran University of science & Technology, Tehran, Iran

2 Iran University of science & Technology, Tehran, Iran

3 Department of Industrial Engineering, Islamic azad ,Arak branch, Arak, Iran


Occurrence of natural disaster inflicts irreparable injuries and symptoms on humans. In such conditions, affected people are waiting for medical services and relief commodities. Thus, quick reaction of medical services and relief commodities supply play important roles in improving natural disaster management. In this paper, a multi-objective non-linear credibility-based fuzzy mathematical programming model under uncertainty conditions is presented, which considers two vital needs in disaster time including medical services and relief commodities through location of hospitals, transfer points, and location routing of relief depots. The proposed model approaches reality by considering time, cost, failures probability in routes, and parameters uncertainty. The problem is first linearized and then global criterion method is applied for solving the multi objective model. Moreover, to illustrate model efficiency, a case study is performed on region 1 of Tehran city for earthquake disaster. Results demonstrate that if Decision-makers want to meet uncertainty with lowered risk, they have to choose a high minimum constraint feasibility degree even though the objective function will be worse.


Main Subjects

Allahyari, S., Salari, M., Talebian Sharif, M., Eshtehadi, R. (2013) “The design of a transport model in the field of crisis”, The Journal of Supply Chain Management, Imam Hossaine University, Tehran, Iran, Vol. 41, pp. 24-31.
Akgün, İ., Gümüşbuğa, F and Tansel. B., (2014) “Risk based facility location by using fault tree analysis in disaster management”, Omega.
Akkihal, A.R. (2006). Inventory pre-positioning for humanitarian operations, Master thesis.
Amini, J., Karami, J., AliMohamadi Sarab, A., Safarzadeh, T., (2012) “An Evaluation of the RADIUS Model in Assessing the Damages Caused by Earthquake via GIS (case study Region1 Tehran)”, Urban - Regional Studies and Research Journal, Vol. 11, pp 23-40.
Balcik, B. and Beamon B. M, (2008) “Facility location in humanitarian relief,” International Journal of Logistics Research and Applications, Vol.11, pp.101–121.
Bakuli, D.L., Smith, J.M. (1996). “Resource allocation in state-dependent emergency evacuation networks”, Eur. J. Oper. Res., Vol. 89, pp. 543–555.
Banerjee, S., & Roy, T. K. (2001) “Linear equations and systems in fuzzy environment”. Journal of mathematics and computer Science, Vol.15, pp. 23–31.
Berman, O., Drezner, Z. and Wesolowsky, G.O, (2005) “The facility and transfer points location problem” International Transactions in Operational Research, Vol. 12, pp. 387–402.
Berman. O, Drezner. Z and Wesolowsky. G. O, (2007) “The multiple location of transfer points” Journal of the Operational Research Society, Vol. 59, pp. 805–811.
Brotcorne, L., Laporte, G., Semet, F. (2003). “Ambulance location and relocation models,” European Journal of Operational Research., Vol. 147, pp. 451–463.
Campbell. A. M and Jones P. C, (2011) “Prepositioning supplies in preparation for disasters,” European Journal of Operational Research, Vol. 209, pp.156–165.
Furuta, T. and Tanaka,K,. (2013) “Minisum and minimax location models for helicopter emergency medical service systems” Journal of the Operations Research Society of Japan, Vol. 56(3), pp. 221–242.
Gupta, S. and Kant, S., (2004) "Emergency Medical Services and Disaster Management", 2nd Ed. New Delhi: Gaypee Inc.
Hassan-Poura, H. A., Mosadegh-Khaha, M., & Zareei, M. (2007) “An Efficient Algorithm for Solving a Stochastic Location-Routing Problem”. Journal of mathematics and computer Science,. Vol. 12, pp. 27–38.
Hadavi, B., Tayi, M., Khodapanah, M. (2011) “External effects of transport by private car in Tehran”, Journal of Quantitative Economics, Vol. 2, pp. 51-77.
Hosseinijou, S. A. and Bashiri. M, (2011) “Stochastic models for transfer point location problem” International Journal of Advanced Manufacturing Technology, Vol. 58, pp. 211–225.
Ingram, J., (1987) “Food and Disaster Relief Issues of Management policy”, Disasters, Vol. 12(1), pp. 12–18.
Jia, H., Ordóñez, F., Dessouky, M. (2007). “A modeling framework for facility location of medical services for large-scale emergencies”, IIE Transactions., Vol. 39, pp. 41–55.
JICA, C. (2000). The study on seismic microzoning of the Greater Tehran Area in the Islamic Republic of Iran. Pacific Consultants International Report, OYO Cooperation, Japan, 390pp.
Kalantari, H., Yousefli. A and Ghazanfari. M, (2013) “Fuzzy transfer point location problem : a possibilistic unconstrained nonlinear programming approach,” International Journal of Advanced Manufacturing Technology, Vol.70, pp. 1043–1051.
Khorsi, M., Bozorgi-Amiri, A., Ashjari, B., (2013). “A Nonlinear Dynamic Logistics Model for Disaster Response under Uncertainty,” Journal of mathematics and computer Science, Vol. 7, pp. 63–72.
Liu, B., & Liu, Y. K. (2002). “Expected value of fuzzy variable and fuzzy expected value models”. Fuzzy Systems, IEEE Transactions on, Vol. 10(4), pp. 445-450.
Liu, B. Uncertainty Theory: An Introduction to its Axiomatic Foundations. 2004.
Mahmudian, M , Keivani, A ., Davoudpour, H and Ardestani Jaafari, A . (2010) “Two Iterative Algorithms for Transfer Point Location Problem” Journal of American Science, vol 9, pp.827-830.
Mastane, Z., Moseli, L., Jahangir, M., (2013) “Capabilities and limitations of crisis management in hospitals”, Fasa Journal University of Medical Sciences, Vol. 41, pp. 244-250.
Ministry of Health and Medical Education, (2008) “Guidelines country needs assessment correction of systems triage in hospital emergency rooms” pp 4-5.
Mohebi, H., Hossaini, SH., Sheian, M. (2007)” Frequency of injuries and treatment of earthquake victims were referred to civilian and military hospitals in Tehran” Vol. 1, pp. 31-36.
Pelling, M., Maskrey, A., Ruiz, P., Hall, L. (2004). Reducing disaster risk: a challenge for development, A Global Report, United Nations Development Programme, pp. 52–53.
Pishvaee, M. S., Torabi, S. A., & Razmi, J. (2012). “Credibility-based fuzzy mathematical programming model for green logistics design under uncertainty”. Computers & Industrial Engineering, Vol. 62(2), pp. 624-632.
Rao, S. S., & Rao, S. S. (2009). “Engineering optimization: theory and practice”. John Wiley & Sons.
Tayefi Nasrabadi, A., Rashidi Mehr Abadi., M. H, (2008). “Flood management and prevention of flood damage reduction”, 3nd Conference on Water Resources Management, Tehran, Iran.
Toregas, C., Swain, R., Revelle. C. and Bergman. L, (1971) “The location of emergency service facilities,” Operations Research, Vol. 19, pp. 1363–1373.
Yaghoubi, S., Mohamadi, A., Nahofti, J. (2014) “A dynamic model for Transfer point location in time of disaster” 12nd International Conference on Management, University of Sharif, Tehran, Iran.
Zhu, H., & Zhang, J. (2009, November). “A credibility-based fuzzy programming model for APP problem”. In Artificial Intelligence and Computational Intelligence.. AICI'09. International Conference on (Vol. 1, pp. 455-459). IEEE.