Emergency medical services (EMS) are among the most important services in any society due to their role in saving people’s lives and reducing morbidities. The location of ambulance stations and the allocation of ambulances to the stations is an important planning problem for any EMS system to ensure adequate coverage while minimising the response time. This study considers a mixed-integer programming model that determines the ambulance locations by considering the time of day variations in demand. The presented model also considers heterogeneous performance measures based on survival function and coverage for different patient types with varying levels of urgency. A memetic algorithm based-approach that applies a mixed chromosome representation for solutions is proposed to solve the problem. Our computational results indicate that neglecting time-dependent variation of demand can underestimate the number of ambulances required by up to 15% during peak demand. We also demonstrate the effectiveness of the proposed solution approach in providing good quality solutions within a reasonable time.
Keywords: Emergency medical service planning, ambulance planning, location-allocation, memetic algorithm, operations research in health services
@article{RO_2022__56_4_2967_0,
author = {Nadar, Raviarun A. and Jha, J. K. and Thakkar, Jitesh J.},
title = {Ambulance location under temporal variation in demand using a mixed coded memetic algorithm},
journal = {RAIRO. Operations Research},
pages = {2967--2997},
year = {2022},
publisher = {EDP-Sciences},
volume = {56},
number = {4},
doi = {10.1051/ro/2022140},
mrnumber = {4474360},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2022140/}
}
TY - JOUR AU - Nadar, Raviarun A. AU - Jha, J. K. AU - Thakkar, Jitesh J. TI - Ambulance location under temporal variation in demand using a mixed coded memetic algorithm JO - RAIRO. Operations Research PY - 2022 SP - 2967 EP - 2997 VL - 56 IS - 4 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2022140/ DO - 10.1051/ro/2022140 LA - en ID - RO_2022__56_4_2967_0 ER -
%0 Journal Article %A Nadar, Raviarun A. %A Jha, J. K. %A Thakkar, Jitesh J. %T Ambulance location under temporal variation in demand using a mixed coded memetic algorithm %J RAIRO. Operations Research %D 2022 %P 2967-2997 %V 56 %N 4 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2022140/ %R 10.1051/ro/2022140 %G en %F RO_2022__56_4_2967_0
Nadar, Raviarun A.; Jha, J. K.; Thakkar, Jitesh J. Ambulance location under temporal variation in demand using a mixed coded memetic algorithm. RAIRO. Operations Research, Tome 56 (2022) no. 4, pp. 2967-2997. doi: 10.1051/ro/2022140
[1] , , and , The stochastic location-routing-inventory problem of perishable products with reneging and balking. J. Ambient Intell. Humaniz. Comput. (2021) 1–20.
[2] , and , Locating emergency vehicles with an approximate queuing model and a meta-heuristic solution approach. Transp. Res. Part C: Emerg. Technol. 90 (2018) 134–155. | DOI
[3] , , , and , Using optimization to provide decision support for strategic emergency medical service planning – three case studies. Int. J. Med. Inf. 133 (2020) 103975. | DOI
[4] , , and , Emergency medical services and beyond: addressing new challenges through a wide literature review. Comput. Oper. Res. 78 (2017) 349–368. | MR | Zbl | DOI
[5] , and , The maximal expected covering location problem: revisited. Transp. Sci. 23 (1989) 277–287. | MR | Zbl | DOI
[6] , and , Recent optimization models and trends in location, relocation, and dispatching of emergency medical vehicles. Eur. J. Oper. Res. 272 (2019) 1–23. | MR | Zbl | DOI
[7] and , The ex-post evaluation of the minimum local reliability level: an enhanced probabilistic location set covering model. Ann. Oper. Res. 111 (2002) 51–74. | MR | Zbl | DOI
[8] and , Ambulance emergency response optimization in developing countries. Oper. Res. 68 (2020) 1315–1334. | MR | Zbl | DOI
[9] , and , Ambulance location and relocation models. Eur. J. Oper. Res. 147 (2003) 451–463. | MR | Zbl | DOI
[10] , , and , Ambulance demand: random events or predicable patterns? Emerg. Med. J. 30 (2013) 883–887. | DOI
[11] , , , , and , Time of day and day of week trends in EMS demand. Prehosp. Emerg. Care 19 (2015) 425–431. | DOI
[12] , , and , The minimum -envy location problem: a new model for equitable distribution of emergency resources. IIE Trans. Healthc. Syst. Eng. 1 (2011) 101–115. | DOI
[13] , and , Improving emergency service in rural areas: a bi-objective covering location model for EMS systems. Ann. Oper. Res. 221 (2014) 133–159. | MR | Zbl | DOI
[14] and , The maximal covering location problem. In: Papers of the Regional Science Association. Vol. 32, Springer-Verlag (1974) 101–118. | DOI
[15] , and , Discrete network location models. Facility Locat.: App. Theory 1 (2002) 81–118. | MR | Zbl | DOI
[16] and , An approximation approach for fixed-charge transportation-p-facility location problem. In: International Conference on Logistics and Supply Chain Management. Springer, Cham (2020).
[17] and , Effect of variable carbon emission in a multi-objective transportation--facility location problem under neutrosophic environment. Comput. Ind. Eng. 132 (2019) 311–324. | DOI
[18] , and , Application of type-2 fuzzy logic to a multiobjective green solid transportation–location problem with dwell time under carbon tax, cap, and offset policy: fuzzy versus nonfuzzy techniques. IEEE Trans. Fuzzy Syst. 28 (2020) 2711–2725. | DOI
[19] , and , An exact and a heuristic approach for the transportation--facility location problem. Comput. Manage. Sci. 17 (2020) 389–407. | MR | Zbl | DOI
[20] , and , Heuristic approaches for solid transportation--facility location problem. Cent. Eur. J. Oper. Res. 28 (2020) 939–961. | MR | Zbl | DOI
[21] , , and , Multi-objective solid transportation-location problem with variable carbon emission in inventory management: a hybrid approach. Ann. Oper. Res. (2021) 1–27. | MR | Zbl
[22] , A maximum expected covering location model: formulation, properties and heuristic solution. Transp. Sci. 17 (1983) 48–70. | DOI
[23] , Analysis of the deployment of emergency medical services. Omega 9 (1981) 655–657. | DOI
[24] , , and , Time-dependent ambulance allocation considering data-driven empirically required coverage. Health Care Manage. Sci. 18 (2015) 444–458. | DOI
[25] , , , and Ontario Prehospital Advanced Life Support Study Group, Optimal defibrillation response intervals for maximum out-of-hospital cardiac arrest survival rates. Ann. Emerg. Med. 42 (2003) 242–250. | DOI
[26] , , and , Genetic algorithm with iterated local search for solving a location-routing problem. Expert Syst. Appl. 39 (2012) 2865–2871. | DOI
[27] , , , and , Heuristic solution of an extended double-coverage ambulance location problem for Austria. Cent. Eur. J. Oper. Res. 13 (2005) 325–340. | Zbl
[28] and , A linear programming model and memetic algorithm for the Emergency Vehicle Routing. In: 2019 4th World Conference on Complex Systems (WCCS). IEEE (2019). | DOI
[29] , and , A bi-objective covering location problem: case of ambulance location in the Beirut area, Lebanon. Manage. Decis. 57 (2019) 432–444. | DOI
[30] , and , Ambulance location for maximum survival. Nav. Res. Log. 55 (2008) 42–58. | MR | Zbl | DOI
[31] , and , Solving an ambulance location model by tabu search. Locat. Sci. 5 (1997) 75–88. | Zbl | DOI
[32] , , , and , Metaheuristics for solving a multimodal home-healthcare scheduling problem. Cent. Eur. J. Oper. Res. 23 (2015) 89–113. | MR | Zbl | DOI
[33] and , Concepts and applications of backup coverage. Manage. Sci. 32 (1986) 1434–1444. | DOI
[34] and , Improved biogeography-based optimization using migration process adjustment: an approach for location-allocation of ambulances. Comput. Ind. Eng. 135 (2019) 800–813. | DOI
[35] , and , Ambulance allocation for maximal survival with heterogeneous outcome measures. Omega 40 (2012) 918–926. | DOI
[36] and , A tutorial for competent memetic algorithms: model, taxonomy, and design issues. IEEE Trans. Evol. Comput. 9 (2005) 474–488. | DOI
[37] , A hypercube queuing model for facility location and redistricting in urban emergency services. Comput. Oper. Res. 1 (1974) 67–95. | DOI
[38] , , , and , Strategic ambulance location for heterogeneous regions. Eur. J. Oper. Res. 260 (2017) 122–133. | MR | Zbl | DOI
[39] , , and , Real-coded memetic algorithms with crossover hill-climbing. Evol. Comput. 12 (2004) 273–302. | DOI
[40] , Covering models for two-tiered emergency medical services systems. Locat. Sci. 6 (1998) 355–368. | DOI
[41] , , , , , , , and , Circadian pattern of emergency calls: implications for ED organization. Am. J. Emerg. Med. 20 (2002) 282–286. | DOI
[42] and , The queueing maximal availability location problem: a model for the siting of emergency vehicles. Eur. J. Oper. Res. 93 (1996) 110–120. | Zbl | DOI
[43] and , A simulation model to enable the optimization of ambulance fleet allocation and base station location for increased patient survival. Eur. J. Oper. Res. 247 (2015) 294–309. | Zbl | DOI
[44] , A maximum expected covering location model with two types of servers. IIE Trans. 41 (2009) 730–741. | DOI
[45] and , Evaluating emergency medical service performance measures. Health Care Manage. Sci. 13 (2010) 124–136. | DOI
[46] and , Fitness landscape analysis and memetic algorithms for the quadratic assignment problem. IEEE Trans. Evol. Comput. 4 (2000) 337–352. | DOI
[47] , , , and , A metaheuristic for the rural school bus routing problem with bell adjustment. Expert. Syst. Appl. 180 (2021) 115086. | DOI
[48] and , A bi-level model and memetic algorithm for arc interdiction location-routing problem. Comput. Appl. Math. 40 (2021) 1–44. | MR | Zbl | DOI
[49] , and , Two server dynamic coverage location model under stochastic travel time. Int. J. Appl. Comput. Math. 7 (2021) 1–19. | MR | Zbl
[50] and , Optimal emergency vehicles location: an approach considering the hierarchy and substitutability of resources. Eur. J. Oper. Res. 287 (2020) 583–599. | MR | Zbl | DOI
[51] , , and , Developing effective meta-heuristics for a probabilistic location model via experimental design. Eur. J. Oper. Res. 177 (2007) 83–101. | Zbl | DOI
[52] , and , A multiperiod set covering location model for dynamic redeployment of ambulances. Comput. Oper. Res. 35 (2008) 814–826. | Zbl | DOI
[53] , Genetic algorithms Part A: Background. 28 (2003).
[54] , A genetic algorithm for flowshop sequencing. Comput. Oper. Res. 22 (1995) 5–13. | Zbl | DOI
[55] and , Developing and validating a decision support system for locating emergency medical vehicles in Louisville, Kentucky. Eur. J. Oper. Res. 75 (1994) 567–581. | DOI
[56] , and , Logistics for emergency medical service systems. Health Syst. 6 (2017) 187–208. | DOI
[57] and , The maximum availability location problem. Transp. Sci. 23 (1989) 192–200. | MR | Zbl | DOI
[58] and , Ambulance location and relocation problems with time-dependent travel times. Eur. J. Oper. Res. 207 (2010) 1293–1303. | MR | Zbl | DOI
[59] , and , Location-allocation problem for resource distribution under uncertainty in disaster relief operations. Soc.-Econ. Planning Sci. 82 (2022) 101232. | DOI
[60] and , Integrated design of sustainable supply chain and transportation network using a fuzzy bi-level decision support system for perishable products. Expert. Syst. Appl. 195 (2022) 116628. | DOI
[61] , and , A novel two-echelon hierarchical location-allocation-routing optimization for green energy-efficient logistics systems. Ann. Oper. Res. (2021) 1–29. | MR | Zbl
[62] , , , and , A novel model for sustainable waste collection arc routing problem: pareto-based algorithms. Ann. Oper. Res. (2022) 1–26. | MR | Zbl
[63] and , A cluster-based stratified hybrid decision support model under uncertainty: sustainable healthcare landfill location selection. Appl. Intell. (2022) 1–20.
[64] , , and , The location of emergency service facilities. Oper. Res. 19 (1971) 1363–1373. | Zbl | DOI
[65] , , and , Joint location and dispatching decisions for emergency medical services. Comput. Ind. Eng. 64 (2013) 917–928. | DOI
[66] , , , and , Reducing disparities in large-scale emergency medical service systems. J. Oper. Res. Soc. 66 (2015) 1169–1181. | DOI
[67] and , Time-dependent MEXCLP with start-up and relocation cost. Eur. J. Oper. Res. 242 (2015) 383–389. | MR | Zbl | DOI
[68] , Model Building in Mathematical Programming. John Wiley & Sons (2013). | Zbl
[69] , and , A memetic algorithm with a novel neighborhood search and modified solution representation for closed-loop supply chain network design. Comput. Ind. Eng. 128 (2019) 418–436. | DOI
[70] and , Bi-objective no-wait multiproduct multistage product scheduling problem with flexible due dates based on MOIDE-MA. Comput. Oper. Res. 137 (2022) 105543. | MR | Zbl | DOI
[71] , and , A MILP model and memetic algorithm for the hub location and routing problem with distinct collection and delivery tours. Comput. Ind. Eng. 135 (2019) 105–119. | DOI
[72] and , An expected coverage model with a cutoff priority queue. Health Care Manage. Sci. 21 (2018) 517–533. | DOI
[73] and , Dynamic dispatch policies for emergency response with multiple types of vehicles. Transp. Res. Part E: Logistics Transp. Rev. 152 (2021) 102405. | DOI
[74] , and , A stochastic programming approach for locating and dispatching two types of ambulances. Transp. Sci. 55 (2021) 275–296. | DOI
[75] , and , A memetic algorithm for the patient transportation problem. Omega 54 (2015) 60–71. | DOI
[76] , , and , A simulation optimization framework for ambulance deployment and relocation problems. Comput. Ind. Eng. 72 (2014) 12–23. | DOI
Cité par Sources :





