The Hospital Location-Hardening Problem with Constrained Sources and Predetermined Capacities in Presence of Disruption and Facilities Failure Conditions

Document Type : Scientific - Research

Authors

1 MSc. Grad., Department of Industrial Engineering, Yazd University, Yazd, Iran

2 Department of Industrial Engineering, Yazd University, Yazd, Iran

Abstract

Today, the simultaneous reduction of location costs and transportation costs in the establishment of urban facilities is of critical importance. This becomes extremely sensitive when the area under consideration is in crisis situations and the inevitable transit of vehicles and inland transportation is difficult in those circumstances and may cause financial and irreparable damages.
In this study, an integrated hospital location hardening is proposed in presence of disruption conditions and facility failures. With respect to the predetermined budget, demands of different points, and some predicting of disruption conditions, the optimizing is done. According to the importance of time in proposing of hospital emergency services, one of the objective functions is minimizing of the maximum allocated distances. Another objective function is minimizing the number of demands, which are allocated to far points. Regarding to the bi-objective mathematical model, the ε-constraint and GAMS software are applied. According to the application of the proposed model for the large-scale problems and The NP-Hard structure of the problem, the NSGA-II is applied and evaluated.  In this study, an integrated hospital location hardening is proposed in presence of disruption conditions and facility failures. With respect to the predetermined budget, demands of different points, and some predicting of disruption conditions, the optimizing is done. According to the importance of time in proposing of hospital emergency services, one of the objective functions is minimizing of the maximum allocated distances. Another objective function is minimizing the number of demands, which are allocated to far points.
According to the two-objective mathematical model, the ε-constraint method and the GAMS 24.1.2 software are used. Due to the possibility of using the model in the large dimensional applications as well as the NP-hardness of the model, the NSGA-II meta-algorithm is applied and the efficiency of the proposed approach is examined and evaluated.
 

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Main Subjects


-Aksen, D. and Aras, N. (2012) “A bi-level fixed charge location model for facilities under imminent attack”, Computers and Operations Research, Vol. 39, No. 7, pp. 1364 –1381.
-Aliakbarian, N., Dehghanian, F. and Salari, M. (2015) “A bi-level programming model for protection of hierarchical facilities under imminent attacks” Computers and Operations Research, Vol.64, No. 2015, pp. 210-224.
-Beheshtinia, M. A., and Aarabi, A. (2017) “A genetic algorithm for integration of vehicle routing problem and production scheduling in supply chain (Case Study: Medical Equipment Supply Chain), Journal of Industrial Engineering,  Vol. 51, No. 2, pp. 147-160.
-Beheshtinia, M.A. and Ghasemi, A. (2018). A multi-objective and integrated model for supply chain scheduling optimization in a multi-site manufacturing system, Engineering Optimization, doi.org/10.1080/0305215X.2017
.1400546, pp. 1-19.
-Beheshtinia, M.A., Ghasemi, A. and Farokhnia, M., (2017). Supply chain scheduling and routing in multi-site manufacturing system (case study: a drug manufacturing company), Journal of Modelling in Management, in press.
-Berman, O., Krass, D. and Menezes, M. (2013) “Location and reliability problems on a line: Impact of objectives and correlated failures on optimal location patterns”, Omega, Vol. 41, No. 4, pp. 766-779.
-Boonme, Ch., Arimura, M. and Asada, T. (2017) “Facility location optimization model for emergency humanitarian logistics”, International Journal of Disaster Risk Reduction, Vol. 24, No. 2017, pp.485-498.
-Cheraghi, S. and Hosseini-Motlagh, S. M. (2017). Optimal blood transportation in disaster relief considering facility disruption and route reliability under uncertainty, International Journal of Transportation Engineering  Vol. 4, No. 3, pp. 225-254.
-Chen, A. Y. and Yu, T. (2016) “Network based temporary facility location for the Emergency Medical Services considering the disaster induced demand and the transportation infrastructure in disaster response”, Transportation Research Part B, Vol. 91, pp.408-423.
-Erkat, J., Zamani, Sh. (2013). “Suppose the congestion problem locating treatment facilities in times of crisis”, Tenth International Conference on Industrial Engineering, Vol. 10, pp. 126-135.
-Eskandari, M., Ehsan Seif, A. and Heshmati, V. (2011) “The readiness of hospitals to cope with earthquake”, The Sixth International Conference on Seismology and Earthquake Engineering, Vol. 6, pp. 12-21.
-Hatam Abadi, H. (2006) “Evaluation of pre-hospital medical response in Bam earthquake”, The Third International Congress on Health, Medication and Crisis Management in Disaster, Tehran, The medical community mobilization, Vol. 2, pp.24-32.
-Hernandez, I., Emmanuel Ramirez-Marquez, J., Rainwater, C., Pohl, E., Medal, H. (2014) “Robust facility location: Hedging against failures”. Reliability Engineering and System Safety, Vol. 123, No. 2014, pp. 73-80.
-Jokar, A. and Hosseini-Motlagh, S. M. (2015) Impact of capacity of mobile units on blood supply chain performance: Results from a robust analysis, International Journal of Hospital Research, Vol. 4, No. 3, pp. 101-105.
-Li, Q., Zeng, B. and Savachkin, A. (2013) “Reliable facility location design under disruptions”, Computers and Operations Research, Vol. 40, No. 4, pp. 901-909.
-Masi, A., Santarsiero, G. and Chiauzzi, L. (2014) “Development of a seismic risk mitigation methodology for public buildings applied to the hospitals of Basilicata region (Southern Italy)”, Soil Dynamics and Earthquake Engineering, Vol. 65, No. 2014, pp. 30-42.
-Medal, R., Pohl, A. and Rossetti, D. (2014) “A multi-objective integrated facility location-hardening model: Analyzing the pre- and post-disruption tradeoff”, European Journal of Operational Research, Vol. 237, pp. 257-270.
-Mehr Agency (2017) “Hospital disruption in Kermanshah earthquake; Oct. 2017”; https://www.mehrnews.com/news/4142566.
-Mestre, A. M., Oliveira, M. D. and Barbosa-Póvoa, A. P. (2015) “Location–allocation approaches for hospital network planning under uncertainty”, European Journal of Operational Research, Vol. 240, No. 3, pp. 791-806.
-Miniati, R., Capone, P. and Dietrich, H. (2014) “Decision support system for rapid seismic risk mitigation of hospital systems. Comparison between models and countries”, International Journal of Disaster Risk Reduction, Vol. 9, pp. 12-25.
-Nuti, C. and Vanzi, I. (1998) “Assessment of post-earthquake availability of hospital system and upgrading strategies”, Earthquake Engineering, and Structural Dynamics,   Vol. 27, No. 12, pp. 1403-1423.
-Ouyang, M. (2016) “Critical location identification and vulnerability analysis of interdependent infrastructure systems under spatially localized attacks”, Reliability Engineering and System Safety, Vol. 154, pp.106-116.
-Paul, J. and Batta, R. (2008) “Models for Hospital Location and Capacity Allocation for an Area Prone to Natural Disasters”, International journal of operational research, Vol. 3, No. 5, pp. 473-496.
-Poorahmad, A., Ashlagy, M., Ahar, H., Manouchehri, A. and Ramezani, M. (2014). The location hospitals using Fuzzy Logic combining AHP and TOPSIS environment ARCGIS. Geography and Environmental Planning Journal, Vol. 54, No. 2, pp. 24-36.
-Sabouhi, F., Bozorgi Amiri, A., (2017) “Routing and scheduling of transportation equipment for distribution of relief, taking into account partial delivery and multiple warehouses”, Journal of Transportation Engineering, Vol. 9, No. 1 (33), pp. 125-138.
-Sahelgozin, M.R., Alimohammadi, A., (2016) “Optimizing of the Metro transportation scheduling via NSGA-II in order to reduce the trip time and improve the economic and environmental performance”, Journal of Transportation Engineering, Vol. 8, No. 1, pp. 29-51.
-Shishebori, D., Snyder, L.V. and Jabalameli, M.S. (2014). A reliable budget-constrained facility location/network design problem with unreliable facilities. Networks and Spatial Economics, Vol. 14, No. 3-4, pp. 549-580.
-Srinivas, N. and Deb, K. (1994) “Multi-objective optimization using non-dominated sorting in genetic algorithms”, Evolutionary Computation, Vol. 2, No. 3, pp. 221-248.