Location-allocation planning of stockpiles for effective disaster mitigation. (English) Zbl 1251.90252
Summary: In the existing framework for receiving and allocating strategic national stockpile (SNS) assistance, there are three noticeable delays: the delay by the state in requesting federal assets, the delay in the federal process which releases assets only upon the declaration of a disaster and lastly the time it takes to reach supplies rapidly from the SNS stockpile to where it is needed. The most efficient disaster preparedness plan is one that addresses all three delays taking into account the unique nature of each disaster. In this paper, we propose appropriate changes to the existing framework to address the first two delays and a generic model to address the third which determines the locations and capacities of stockpile sites that are optimal for a specific disaster. Specifically, our model takes into account the impact of disaster specific casualty characteristics, such as the severity and type of medical condition and the unique nature of each type of disaster, particularly with regard to advance warning and factors affecting damage. For disasters involving uncertainty (magnitude/severity) with regard to future occurrences, such as an earthquake, development of appropriate solution strategies involves an additional step using scenario planning and robust optimization. We illustrate the application of our model via case studies for hurricanes and earthquakes and are able to outline an appropriate response framework for each.
MSC:
| 90B80 | Discrete location and assignment |
References:
| [1] | AHA (2006). Preparing for pandemic flu, testimony to the senate special committee on aging, American Hospital Association. http://www.ucop.edu/riskmgt/documents/aha_panflu_testimony.pdf. Accessed January 11, 2008. |
| [2] | Ap, Some of the deadliest natural disasters since 1900 (2004), New York: Associated Press, New York |
| [3] | Aroni, S.; Durkin, M., Injuries and occupant behavior in earthquakes, Proceedings of the joint US-Romanian seminar on earthquakes and energy, 3-40 (1985), Washington: Architectural Research Centers Consortium, Washington |
| [4] | Belson, D. (2005). Storage, distribution, and dispensing of medical supplies. Center for Risk and Economic Analysis of Terrorism Events, Homeland Security Center. http://create.usc.edu/research/50770.pdf. Accessed May 1, 2007. |
| [5] | Berman, O.; Gavious, A., Location of terror response facilities: a game between state and terrorist, European Journal of Operational Research, 177, 2, 1113-1133 (2007) · Zbl 1110.90063 · doi:10.1016/j.ejor.2005.12.022 |
| [6] | Berman, O.; Drezner, Z.; Wesolowsky, G. O., Locating service facilities whose reliability is distance dependent, Computers & Operations Research, 30, 11, 1683-1695 (2003) · Zbl 1039.90022 · doi:10.1016/S0305-0548(02)00099-0 |
| [7] | Berman, O.; Krass, D.; Menezes, M. B., Reliability issues, strategic co-location and centralization in m-median problems, Operations Research, 55, 2, 332-350 (2007) · Zbl 1167.90466 · doi:10.1287/opre.1060.0348 |
| [8] | Cdc, Infectious disease and dermatologic conditions in evacuees and rescue workers after hurricane Katrina—multiple states, Morbidity and Mortality Weekly Report, 54, 38, 961-964 (2005) |
| [9] | Cdc, Surveillance for illness and injury after hurricane Katrina—New Orleans, Louisiana, Morbidity and Mortality Weekly Report, 54, 40, 1018-1021 (2005) |
| [10] | Chang, M. S.; Tseng, Y. L.; Chen, J. W., A scenario planning approach for the flood emergency logistics preparation problem under uncertainty, Transportation Research Part E: Logistics and Transportation Review, 43, 6, 737-754 (2007) · doi:10.1016/j.tre.2006.10.013 |
| [11] | Cheu, D. H., Northridge earthquake, January 17, 1994: the hospital response (1994), Sacramento: California Seismic Safety Commission, Sacramento |
| [12] | Church, R. L.; Revelle, C., The maximal covering location problem, Papers of the Regional Science Association, 32, 1, 101-118 (1974) · doi:10.1007/BF01942293 |
| [13] | Dallas, C. E.; Bell, W. C., Prediction modeling to determine the adequacy of medical response to urban nuclear attack, Disaster Medicine and Public Health Preparedness, 1, 2, 80-89 (2007) · doi:10.1097/DMP.0b013e318159a9e3 |
| [14] | Dantzig, G. B., Planning under uncertainty, Annals of Operations Research, 85, 1-4, 1 (1999) |
| [15] | DHHS (2005). FY 2006 Budget in Brief. http://archive.hhs.gov/budget/06budget/management.html. Accessed March 13, 2007. |
| [16] | Drezner, Z.; Wesolowsky, G. O., Allocation of demand when cost is demand dependent, Computers & Operations Research, 26, 1, 1-15 (1999) · Zbl 0932.90020 · doi:10.1016/S0305-0548(98)00052-5 |
| [17] | Drezner, Z.; Wesolowsky, G. O., Allocation of discrete demand with changed costs, Computers & Operations Research, 26, 14, 1335-1349 (1999) · Zbl 0931.90025 · doi:10.1016/S0305-0548(99)00039-8 |
| [18] | Durkin, M. E. (1995). Fatalities, nonfatal injuries and medical aspects of the Northridge earthquake, Northridge, California earthquake of 17 January, 1994. California Department of Conservation, Division of Mines and Geology, Sacramento. |
| [19] | Escudero, L. F.; Kamesam, P. V.; King, A. J.; Wets, R. J. B., Production planning via scenario modelling, Annals of Operations Research, 43, 1-4, 311-335 (1993) · Zbl 0784.90033 |
| [20] | FEMA (2000). HAZUS99 estimated annualized earthquake loss for the U.S. http://www.seismo.unr.edu/nesc/FEMA366.pdf. Accessed December 22, 2006. |
| [21] | FEMA (2007). HAZUS user and technical manuals. http://www.fema.gov/plan/prevent/hazus/hz_manuals.shtm. Accessed April 20, 2007. |
| [22] | FEMA (2010). Chapter 1: Introduction to emergency management. http://training.fema.gov/EMIWeb/edu/fem.asp. Accessed August 30, 2010. |
| [23] | Franco, C.; Toner, E.; Waldhorn, R.; Maldin, B.; O’Toole, T.; Inglesby, T. V., Systemic collapse: medical care in the aftermath of hurricane Katrina, Biosecurity and Bioterrorism: Biodefense Strategy, Practice and Science, 4, 2, 135-146 (2006) · doi:10.1089/bsp.2006.4.135 |
| [24] | GPO Access Reports (2005). Chapter 24: Medical assistance. http://www.gpoaccess.gov/serialset/creports/pdf/sr109-322/ch24.pdf. Accessed August 30, 2010. |
| [25] | Hanfling, D., Equipment, supplies, and pharmaceuticals: how much might it cost to achieve basic surge capacity?, Academic Emergency Medicine, 13, 11, 1232-1237 (2006) · doi:10.1111/j.1553-2712.2006.tb01654.x |
| [26] | HAZUS (2008). FEMAs software program for estimating potential losses from disasters, FEMA. http://www.fema.gov/plan/prevent/hazus/index.shtm. Accessed August 30, 2010. |
| [27] | Huang, R.; Kim, S.; Menezes, M. B., Facility location models for large scale emergencies, Annals of Operations Research, 43, 1, 271-286 (2010) · Zbl 1209.90236 · doi:10.1007/s10479-010-0736-8 |
| [28] | Hung, S. Y.; Ku, Y. C.; Linag, T. P.; Lee, C. J., Regret avoidance as a measure of DSS success: an exploratory study, Decision Support Systems, 42, 4, 2093-2106 (2007) · doi:10.1016/j.dss.2006.05.006 |
| [29] | Inuiguchi, M.; Sakawa, M., Minimax regret solution to linear programming problems with an interval objective function, European Journal of Operational Research, 86, 3, 526-536 (1995) · Zbl 0914.90196 · doi:10.1016/0377-2217(94)00092-Q |
| [30] | Jia, H.; Ordonez, F.; Dessouky, M., A modeling framework for facility location of medical services for large-scale emergencies, IIE Transactions, 39, 1, 41-55 (2007) · doi:10.1080/07408170500539113 |
| [31] | Jinkins, L. (2007). County of Santa Clara facilities and fleet, department capital programs, capital bond projects implementation and financing status, February 1. http://www.sccgov.org/SCC/docs/SCC |
| [32] | Korte, R. F., Applying scenario planning across multiple levels of analysis, Advances in Developing Human Resources, 10, 2, 179-197 (2008) · doi:10.1177/1523422307313319 |
| [33] | Klein, K. R.; Nagel, N. E., Mass medical evacuation: hurricane Katrina and nursing experiences at the New Orleans airport, Disaster Management & Response, 5, 11, 56-61 (2007) · doi:10.1016/j.dmr.2007.03.001 |
| [34] | Latourrette, T., & Willis, H. H. (2007). Using probabilistic terrorism risk modeling for regulatory benefit-cost analysis. http://www.rand.org/pubs/working_papers/WR487/. Accessed February 22, 2008. |
| [35] | Lee, E. K.; Maheshwary, S.; Mason, J.; Glisson, W., Decision support system for mass dispensing of medications for infectious disease outbreaks and bioterrorist attacks, Annals of Operations Research, 148, 1, 25-53 (2006) · Zbl 1106.90044 · doi:10.1007/s10479-006-0087-7 |
| [36] | MT DPHHS (2005). Fact sheet strategic national stockpile: what you need to know. www.dphs.mt.gov/PHSD/risk-communication/pdf/Chempack.doc. Accessed April 13, 2007. |
| [37] | Mulvey, J. M.; Vladimirou, H., Stochastic network optimization models for investment planning, Annals of Operations Research, 20, 1-4, 187-217 (1989) · Zbl 0704.90033 · doi:10.1007/BF02216929 |
| [38] | Murali, P.; Ordonez, F.; Dessouky, M. M., Facility location with demand uncertainty: response to a large-scale bioterror attack, Socio-Economic Planning Sciences, 46, 1, 78-87 (2012) · doi:10.1016/j.seps.2011.09.001 |
| [39] | NACCHO (2007). The strategic national stockpile (SNS): a reference for local planner. National Association of County and City Health Officials. http://archive.naccho.org/documents/NACCHO-NPS-Guide.pdf. Accessed February 18, 2008. |
| [40] | Olson, R. A., & Alexander, D. E. (1996). Summary of proceedings, in second national workshop on modeling earthquake casualties for planning and response. Jesuit Retreat House, Los Altos, California. |
| [41] | Paul, J. A.; Batta, R., Models for hospital location and capacity allocation for an area prone to natural disasters, International Journal of Operational Research, 3, 5, 473-496 (2008) · Zbl 1163.90634 · doi:10.1504/IJOR.2008.019170 |
| [42] | Paul, J. A.; George, S. K.; Yi, P.; Lin, L., Transient modeling in simulation of hospital operations for emergency response and the effect of patient mix and prehospital transport time on patient waiting times, Prehospital Disaster Medicine, 21, 3, 223-236 (2006) |
| [43] | Pearson, M. (2006). Hurricane Katrina. Office of Emergency Preparedness and Response, Mississipi Department of Health. http://www.deadiversion.usdoj.gov/mtgs/drug_chemical/2006/sns_mp.pdf. Accessed May 23, 2007. |
| [44] | Pepe, P. E.; Wyatt, C. H.; Bickell, W. H.; Bailey, M. L.; Mattox, K. L., The relationship between total prehospital time and outcome in hypotensive victims of penetrating injuries, Annals of Emergency Medicine, 16, 3, 293-297 (1987) · doi:10.1016/S0196-0644(87)80174-9 |
| [45] | Peterson, G. D.; Cumming, G. S.; Carpenter, S. R., Scenario planning: a tool for conservation in an uncertain world, The Journal of the Society for Conservation Biology, 17, 2, 358-366 (2003) · doi:10.1046/j.1523-1739.2003.01491.x |
| [46] | Peterson, G. D.; Beard, T. D. Jr.; Beisner, B. E.; Bennett, E. M.; Carpenter, S. R.; Cumming, G. S.; Dent, C. L.; Havlicek, T. D., Assessing future ecosystem services: a case study of the Northern Highlands Lake District, Wisconsin, Conservation Ecology, 7, 3, 1-24 (2003) |
| [47] | Petri, R. W.; Dyer, A.; Lumpkin, J., The effect of prehospital transport time on the mortality from traumatic injury, Prehospital Disaster Medicine, 10, 1, 24-29 (1995) |
| [48] | Pomerol, J.-C., Scenario development and practical decision making under uncertainty, Decision Support Systems, 31, 2, 197-204 (2001) · doi:10.1016/S0167-9236(00)00131-7 |
| [49] | Rawls, C. G.; Turnquist, M. A., Pre-positioning of emergency supplies for disaster Response, IEEE international symposium on technology and society, 2006. ISTAS 2006, 1-9 (2006) · doi:10.1109/ISTAS.2006.4375894 |
| [50] | Snyder, L. V.; Daskin, M. S., Reliability models for facility location: the expected failure cost case, Transportation Science, 39, 3, 400-416 (2005) · doi:10.1287/trsc.1040.0107 |
| [51] | Swisher, J. R.; Jacobson, S. H.; Jun, J. B.; Balci, O., Modeling and analyzing a physician clinic environment using discrete-event (visual) simulation, Computers & Operations Research, 28, 2, 105-125 (2001) · Zbl 0991.90542 · doi:10.1016/S0305-0548(99)00093-3 |
| [52] | Tanner, R., Katrina-how deadly (2005), New York: Associated Press, New York |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
