Location of single-server immobile facilities subject to a loss constraint

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dc.contributor.authorBoffey, B.
dc.contributor.authorGalvao, R. D.
dc.contributor.authorMarianov, V.
dc.date.accessioned2024-01-10T13:14:27Z
dc.date.available2024-01-10T13:14:27Z
dc.date.issued2010
dc.description.abstractWaiting may be unacceptable, even a short time, at a facility providing a service involving medical or other emergencies. Hence, it is appropriate to locate such facilities so that the rate at which users are lost is limited. Each facility will here be modelled as an M/E(r)/m/N queueing system subject to a loss restriction constraint and the single-server case (m = 1) will be treated in detail. Introduction of the Erlang distribution for service times allows a better fit of the model to actual values of both mean and variance than do currently available models that use an exponential distribution. Location of facilities will be such that the average travel time to a facility is minimized. It is shown how a deterministic constraint, equivalent to the loss constraint, can be generated resulting in an integer linear program, and values of a parameter (rho c) which facilitates this linearization are tabulated for various values of r, N and service level demanded. Numerical experiments are performed including an application loosely related to the location of neonatal clinics in the Municipality of Rio de Janeiro. Finally, there is a discussion of how further improved modelling of the service time distribution might be effected.
dc.description.funderEPSRC
dc.description.funderCNPq
dc.description.funderBrazilian National Research Council
dc.fechaingreso.objetodigital2024-04-25
dc.format.extent13 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1057/jors.2009.12
dc.identifier.issn0160-5682
dc.identifier.urihttps://doi.org/10.1057/jors.2009.12
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/78408
dc.identifier.wosidWOS:000277565100010
dc.information.autorucIngeniería;Marianov V;S/I;99349
dc.issue.numero6
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final999
dc.pagina.inicio987
dc.publisherPALGRAVE MACMILLAN LTD
dc.revistaJOURNAL OF THE OPERATIONAL RESEARCH SOCIETY
dc.rightsacceso restringido
dc.subjectlocation
dc.subjectqueues
dc.subjectloss
dc.subjectErlang distribution
dc.subjectALLOCATION MODELS
dc.subjectQUEUES
dc.titleLocation of single-server immobile facilities subject to a loss constraint
dc.typeartículo
dc.volumen61
sipa.codpersvinculados99349
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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