{"title":"Allocation of Mobile Units in an Urban Emergency Service System","authors":"Dimitra Alexiou","volume":96,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":1450,"pagesEnd":1454,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9999960","abstract":"
In an urban area the location allocation of emergency
\r\nservices mobile units, such as ambulances, police patrol cars must be
\r\ndesigned so as to achieve a prompt response to demand locations.
\r\nIn this paper the partition of a given urban network into distinct
\r\nsub-networks is performed such that the vertices in each component
\r\nare close and simultaneously the sums of the corresponding
\r\npopulation in the sub-networks are almost uniform. The objective
\r\nhere is to position appropriately in each sub-network a mobile
\r\nemergency unit in order to reduce the response time to the demands.
\r\nA mathematical model in framework of graph theory is developed.
\r\nIn order to clarify the corresponding method a relevant numerical
\r\nexample is presented on a small network.<\/p>\r\n","references":"[1] Alsalloum, O.I., Rand, G.K., Extensions to emergency vehicle location\r\nmodels, Computers& Operations Research, 33, p2725-2743, 2006.\r\n[2] Andersson, T., V\u00e4rband P., Decision support tools for ambulance\r\ndispatch and relocation, Journal of the Operational Research Society\r\n(2007) 58, 195\u20132007.\r\n[3] Burwell, T.H., Jarvis, J.P., McKnew, M.A., An application of a spatially\r\ndistributed queuing model to an ambulance system, Socio-Economic\r\nPlanning Sciences, Volume 26, Issue 4, p289-300,1992.\r\n[4] Christofides N, Graph Theory an Algorithmic Approach, Academic\r\nPress, 1975.\r\n[5] Floyd R.W., Algorithm 97: Shortest Paths, Communication of the ACM\r\n5 (6), 1962, p 345.\r\n[6] Gendreau, M., Laporte, G., Semet, F., The Maximal Expected Coverage\r\nRelocation Problem for Emergency Vehicles, Jour. of the Operational\r\nResearch Society, 92006) 57, p 22-28.\r\n[7] Goldberg J, Dietrich R, Chen J, Mitwasi M, Valenzuela T and Criss\r\nE,Validating and applying a model for locating emergency medical\r\nvehicles in Tucson, AZ. European Journal of Operational Research, 49:\r\n308-324, (1990).\r\n[8] Goldberg J, Dietrich R, Chen J, Mitwasi M, Valenzuela T and Criss E\r\n(1990). A simulation model for evaluating a set of emergency vehicle\r\nbase location: Development, validation, and usage. Socio-Econ Plan Sci,\r\n24: 125-141.\r\n[9] Harary Frank, Graph Theory, Addison Wesley, 1969.\r\n[10] Henderson, S.G., and A.J. Mason. Ambulance service planning:\r\nsimulation and data visualisation. In M.L. Brandeau, F. Sainfort and\r\nW.P. Pierskalla, eds, Operations Research and Health Care: A Handbook\r\nof Methods and Applications, 77-102. Kluwer Academic, Boston, 2004.\r\n[11] Jia, Hongzhong, Ord\u00f3\u00f1ez, Fernando; Dessouky, Maged, A modeling\r\nframework for facility location of medical services for large-scale\r\nemergencies, IIE Transactions, 39:1, p41-55, 2007.\r\n[12] Paluzzi, M. (2004). Testing a heuristic P-median location allocation\r\nmodel for siting emergency service facilities. Paper Presented at the\r\nAnnual Meeting of Association of American Geographers, Philadelphia,\r\nPA.\r\n[13] Uyeno, Dean H., and C. Seeberg, A practical methodology for\r\nambulance location, Simulation, Vol. 43, No. 2, 79-87 (1984), DOI:\r\n10.1177\/003754978404300202.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 96, 2014"}