2007
DOI: 10.1007/s10479-007-0195-z
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A hypercube queueing model embedded into a genetic algorithm for ambulance deployment on highways

Abstract: The hypercube is a well-known descriptive model for planning server-tocustomer systems. In the present study we adapt this model to analyze Emergency Medical Systems on highways involving partial backup and multiple dispatching of ambulances. The modified model is then embedded into a genetic algorithm to optimize the configuration and operation of the system. By embedding the hypercube into a genetic algorithm, we can support decisions, such as, determining the optimal districts for the system in order to opt… Show more

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Cited by 62 publications
(28 citation statements)
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“…• New call arrival (lines [8][9][10][11][12][13][14][15] • Scene departure (lines [16][17][18][19][20][21][22][23]. The vehicles assigned to a call are leaving the scene of the incident, t sc seconds after arrival of the rst vehicle.…”
Section: Simulation Modelmentioning
confidence: 99%
“…• New call arrival (lines [8][9][10][11][12][13][14][15] • Scene departure (lines [16][17][18][19][20][21][22][23]. The vehicles assigned to a call are leaving the scene of the incident, t sc seconds after arrival of the rst vehicle.…”
Section: Simulation Modelmentioning
confidence: 99%
“…A practical example of such a system is the SAU-Centrovias case studied in Iannoni et al (2008Iannoni et al ( , 2009). The flow equations of the system can be built in a way similar to the single partial backup model, and by taking into account multiple dispatch transitions.…”
Section: The Basic Modelmentioning
confidence: 99%
“…Some examples of applications of the hypercube queueing model include the location of ambulances in urban areas (Brandeau & Larson, 1986;Burwell et al, 1993;Takeda et al, 2007;Rajagopalan et al, 2008) and ambulances and service patrol vehicles on highways (Mendonça and Morabito, 2001; Iannoni et al, 2008Iannoni et al, , 2009Geroliminis et al, 2009Geroliminis et al, , 2011; the deployment of police patrol units (Chelst and Barlach, 1981;Larson and Macknew, 1982;Sacks and Grief, 1994); the design of repair services related to interruptions in the distribution of electrical energy (Albino, 1994), and the programs for visits by the social service (Larson & Odoni, 1981). The hypercube has also been considered as a deployment model for response to terrorism attacks and other major emergencies (Larson, 2004).…”
Section: Introductionmentioning
confidence: 99%
“…It is not difficult to envisage a situation where the 'best' single location may not be included in the set of N best locations when the whole set is evaluated rather than the individual. Additionally, much of the previous research relating specifically to ambulance location problems have considered a small number of locations: Chuang (2007) used to a GA to identify only 4 facilities; Iannoni et al (2008) combined a GA within a hypercube to consider the optimal location of five ambulances on two connected stretches of highway.…”
Section: Introductionmentioning
confidence: 99%