Abstract
Empirical studies considering the location and relocation of emergency medical service (EMS) vehicles in an urban region provide important insight into dynamic changes during the day. Within a 24-hour cycle, the demand, travel time, speed of ambulances and areas of coverage change. Nevertheless, most existing approaches in literature ignore these variations and require a (temporally and spatially) fixed (double) coverage of the planning area. Neglecting these variations and fixation of the coverage could lead to an inaccurate estimation of the time-dependent fleet size and individual positioning of ambulances. Through extensive data collection, now it is possible to precisely determine the required coverage of demand areas. Based on data-driven optimization, a new approach is presented, maximizing the flexible, empirically determined required coverage, which has been adjusted for variations due to day-time and site. This coverage prevents the EMS system from unavailability of ambulances due to parallel operations to ensure an improved coverage of the planning area closer to realistic demand. An integer linear programming model is formulated in order to locate and relocate ambulances. The use of such a programming model is supported by a comprehensive case study, which strongly suggests that through such a model, these objectives can be achieved and lead to greater cost-effectiveness and quality of emergency care.
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References
Baṡar A, Catay B, Ünlüyurt T (2011) A multi-period double coverage approach for locating the emergency medical service stations in Istanbul. J Oper Res Soc 62(4):627–637
Batta R, Mannur N (1990) Covering-location models for emergency situations that require multiple response units. Manag Sci 36(1):16–23
Brotcorne L, Laporte G, Semet F (2003) Ambulance location and relocation models. Eur J Oper Res 147(3):451–463
Channouf N, L’Ecuyer P, Ingolfsson A, Avramidis A (2007) The application of forecasting techniques to modeling emergency medical system calls in Calgary, Alberta. Health Care Manag Sci 10(1):25–45
Church R, ReVelle C (1974) The maximal covering lovation problem. Pap Reg Sci 32(1):101–118
Daskin MA (1983) maximum expected covering location model: Formulation, properties and heuristic solution. Transp Sci 17(1):48–70
Daskin M, Stern E (1981) A hierarchical objective set covering model for emergency medical service vehicle deployment. Transp Sci 15(2):137–152
Degel D, Lutter P (2013) A robust formulation of the uncertain set covering problem. Workingpaper, Bochum
Degel D, Wiesche L, Rachuba S, Werners B (2013) Dynamic ambulance location providing suitable coverage for time-dependent demand. In: Gunal M, Gunes ED, Cayirli TML, Ormeci E (eds) Conference proceedings on operational research applied to health services (ORAHS) 2013
Dick W (2003) Anglo-American vs. Franco-German emergency medical services system. Prehospital Disaster Med 18(1):39–35
Doerner K, Gutjahr W, Hartl R, Karall M, Reimann M (2005) Heuristic solution of an extended double-coverage ambulance location problem for Austria. CEJOR 13(4):325–340
Ehrgott M (2005) Multicriteria optimization. Springer
Farahani R, Seifi M, Asgari N (2010) Multiple criteria facility location problems: a survey. Appl Math Model 34(7):1689–1709
Feuerwehr-Bochum F (2008) Rettungsdienstbedarfsplan der Stadt Bochum 2008–2012. Technical report, Feuerwehr Bochum
Fico. Xpress-optimizer referenz manual. Fico Xpress optimization suite (www.fico.com), Release 20.00, 3 June 2009
Fujiwara O, Makjamroen T, Gupta K K (1987) Ambulance deployment analysis: a case study of Bangkok. Eur J Oper Res 31(1):9–18
Gendreau M, Laporte G, Semet F (1997) Solving an ambulance location model by tabu search. Locat Sci 5(2):75–88
Gendreau M, Laporte G, Semet F (2001) A dynamic model and parallel tabu search heuristic for real-time ambulance relocation. Parallel Comput 27:1641–1653
Goldberg J, Dietrich R, Chen JM, Mitwasi G, Valenzuela T, Criss E (1990) Validating and applying a model for locating emergency medical vehicles in Tuczon, AZ. Eur J Oper Res 49(3):308–324
Hogan K, ReVelle C (1986) Concepts and applications of backup coverage. Manag Sci 32(11):1434–1444
Ingolfsson A, Budge S, Erkut E (2008) Optimal ambulance location with random delays and travel times. Health Care Manag Sci 11(3):262–274
Kok A, Hans E, Schutten J (2012) Vehicle routing under timedependent travel times: the impact of congestion avoidance.Comput Oper Res 39(5):910–918
Kritzinger S, Doerner K, Hartl R, Kiechle G, Stadler H, Manohar S (2012) Using traffic information for time-dependent vehicle routing. Procedia - Soc Behav Sci 39:217–229
Krueger U, Schimmelpfeng K (2012) Characteristics of service requests and service processes of fire and rescue service dispatch centers. Health Care Manag Sci 16(1):1–13
Laporte G, Louveaux F, Semet F, Thirion A (2009) Applications of the double standard model for ambulance location. In: Innovations in distribution logisticspages. Berlin, pp 235–249
Li X, Zhao Z, Zhu X, Wyatt T (2011) Covering models and optimization techniques for emergency response facility location and planning: a review. Math Methods Oper Res 74(3):281–310
McLay L, Mayorga M (2010) Evaluating emergency medical service performance measures. Health Care Manag Sci 13(2):124–136
Narasimhan S, Pirkul H, Schilling D (1992) Capacitated emergency facility siting with multiple levels of backup. Ann Oper Res 40(1):323–337
Pirkul H, Schilling D (1988) The siting of emergency service facilities with workload capacities and backup service. Manag Sci 34(7):896–908
Rajagopalan H, Saydam C (2009) A minimum expected response model: formulation, heuristic solution, and application. Socio Econ Plan Sci 43(4):253–262
Rajagopalan H, Saydam C, Setzler H, Sharer E (2012) Decision making for emergency medical services: community-based operations research. Int Ser Oper Res Man Sci 167:275–296
Rajagopalan H, Saydam C, Xiao J (2008) A multiperiod set covering location model for dynamic redeployment of ambulances. Comput Oper Res 35(3):814–826
Repede J, Bernardo J (1994) Developing and validating a decision support system for locating emergency medical vehicles in Louisville, Kentucky. Eur J Oper Res 75(3):567–581
ReVelle C (1989) Review, extension and prediction in emergency service siting models. Eur J Oper Res 40(1):58–69
Revelle C, Hogan K (1989) The maximum availability location problem. Transp Sci 23(3):192–200
Schmid V (2012) Solving the dynamic ambulance relocation and dispatching problem using approximate dynamic programming. Eur J Oper Res 219(3):611–621
Schmid V, Doerner K (2010) Ambulance location and relocation problems with time-dependent travel times. Eur J Oper Res 207(3):1293–1303
Schmiedel R (2011) Leistungen des Rettungsdienstes 2008/09: Analyse des Leistungsniveaus im Rettungsdienst für die Jahre 2008 und 2009. Bergisch Gladbach
Schmiedel R, Betzler E (1999) Ökonomische Rahmenbedingungen im Rettungsdienst: Teil II - Kostenstruktur im Rettungsdienst. Notfall & Rettungsmedizin 2:101–104
Toregas C, Swain R, Charles R, Lawrence B (1971) The location of emergency service facilities. Oper Res 19(6):1363–1373
Werners B, Wülfing T (2010) Robust optimization of internal transports at a parcel sorting center operated by Deutsche post world net. Eur J Oper Res 201(2):419–426
Acknowledgments
This research is financially supported by Stiftung Zukunft NRW. The authors are grateful to staff members of the Feuerwehr und Rettungsdienst Bochum for detailed insights.
The authors would like to thank the associate editor and two anonymous reviewers for their valuable comments. These suggestions have helped to improve the quality of this work.
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Degel, D., Wiesche, L., Rachuba, S. et al. Time-dependent ambulance allocation considering data-driven empirically required coverage. Health Care Manag Sci 18, 444–458 (2015). https://doi.org/10.1007/s10729-014-9271-5
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DOI: https://doi.org/10.1007/s10729-014-9271-5