Proceso NHPP y política óptima de mantenimiento sobre sistemas reparables con función de intensidad de falla Log-normal Weibull modificada

ilustraciones, diagramas, tablas

Autores:
Vargas Correa, Raquel
Tipo de recurso:
Fecha de publicación:
2021
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
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oai:repositorio.unal.edu.co:unal/81385
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/81385
https://repositorio.unal.edu.co/
Palabra clave:
510 - Matemáticas::519 - Probabilidades y matemáticas aplicadas
Distribution (probability theory)
Distribución (Teoría de probabilidades)
Distribución de Paisson
Poisson distribution
Intensidad de falla en forma de bañera
Reparación imperfecta
Reparación mínima
Proceso de Poisson no homogéneo
Mantenimiento preventivo óptimo
Modelo proporcional de reducción de la edad
Bathtub-Shaped Failure Intensity
Imperfect Repair
Minimal Repair
Nonhomogeneous Poisson Process
Optimal Preventive Maintenance
Proportional Age-Reduction Model
Rights
openAccess
License
Reconocimiento 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/81385
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
dc.title.spa.fl_str_mv Proceso NHPP y política óptima de mantenimiento sobre sistemas reparables con función de intensidad de falla Log-normal Weibull modificada
dc.title.translated.eng.fl_str_mv NHPP process and optimal policy of maintenance on repairable systems with fault intensity function log-normal Modified Weibull
title Proceso NHPP y política óptima de mantenimiento sobre sistemas reparables con función de intensidad de falla Log-normal Weibull modificada
spellingShingle Proceso NHPP y política óptima de mantenimiento sobre sistemas reparables con función de intensidad de falla Log-normal Weibull modificada
510 - Matemáticas::519 - Probabilidades y matemáticas aplicadas
Distribution (probability theory)
Distribución (Teoría de probabilidades)
Distribución de Paisson
Poisson distribution
Intensidad de falla en forma de bañera
Reparación imperfecta
Reparación mínima
Proceso de Poisson no homogéneo
Mantenimiento preventivo óptimo
Modelo proporcional de reducción de la edad
Bathtub-Shaped Failure Intensity
Imperfect Repair
Minimal Repair
Nonhomogeneous Poisson Process
Optimal Preventive Maintenance
Proportional Age-Reduction Model
title_short Proceso NHPP y política óptima de mantenimiento sobre sistemas reparables con función de intensidad de falla Log-normal Weibull modificada
title_full Proceso NHPP y política óptima de mantenimiento sobre sistemas reparables con función de intensidad de falla Log-normal Weibull modificada
title_fullStr Proceso NHPP y política óptima de mantenimiento sobre sistemas reparables con función de intensidad de falla Log-normal Weibull modificada
title_full_unstemmed Proceso NHPP y política óptima de mantenimiento sobre sistemas reparables con función de intensidad de falla Log-normal Weibull modificada
title_sort Proceso NHPP y política óptima de mantenimiento sobre sistemas reparables con función de intensidad de falla Log-normal Weibull modificada
dc.creator.fl_str_mv Vargas Correa, Raquel
dc.contributor.advisor.none.fl_str_mv González Álvarez, Nelfi Gertrudis
dc.contributor.author.none.fl_str_mv Vargas Correa, Raquel
dc.subject.ddc.spa.fl_str_mv 510 - Matemáticas::519 - Probabilidades y matemáticas aplicadas
topic 510 - Matemáticas::519 - Probabilidades y matemáticas aplicadas
Distribution (probability theory)
Distribución (Teoría de probabilidades)
Distribución de Paisson
Poisson distribution
Intensidad de falla en forma de bañera
Reparación imperfecta
Reparación mínima
Proceso de Poisson no homogéneo
Mantenimiento preventivo óptimo
Modelo proporcional de reducción de la edad
Bathtub-Shaped Failure Intensity
Imperfect Repair
Minimal Repair
Nonhomogeneous Poisson Process
Optimal Preventive Maintenance
Proportional Age-Reduction Model
dc.subject.lemb.none.fl_str_mv Distribution (probability theory)
Distribución (Teoría de probabilidades)
Distribución de Paisson
Poisson distribution
dc.subject.proposal.spa.fl_str_mv Intensidad de falla en forma de bañera
Reparación imperfecta
Reparación mínima
Proceso de Poisson no homogéneo
Mantenimiento preventivo óptimo
Modelo proporcional de reducción de la edad
dc.subject.proposal.eng.fl_str_mv Bathtub-Shaped Failure Intensity
Imperfect Repair
Minimal Repair
Nonhomogeneous Poisson Process
Optimal Preventive Maintenance
Proportional Age-Reduction Model
description ilustraciones, diagramas, tablas
publishDate 2021
dc.date.issued.none.fl_str_mv 2021
dc.date.accessioned.none.fl_str_mv 2022-03-25T15:36:49Z
dc.date.available.none.fl_str_mv 2022-03-25T15:36:49Z
dc.type.spa.fl_str_mv Trabajo de grado - Maestría
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/masterThesis
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/acceptedVersion
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/TM
status_str acceptedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/81385
dc.identifier.instname.spa.fl_str_mv Universidad Nacional de Colombia
dc.identifier.reponame.spa.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
dc.identifier.repourl.spa.fl_str_mv https://repositorio.unal.edu.co/
url https://repositorio.unal.edu.co/handle/unal/81385
https://repositorio.unal.edu.co/
identifier_str_mv Universidad Nacional de Colombia
Repositorio Institucional Universidad Nacional de Colombia
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.references.spa.fl_str_mv Almalki, S. J. y Yuan, J. (2013). “A new modified Weibull distribution”. En: Reliability Engineering & System Safety 111, págs. 164-170.
Ascher, H. y Feingold, H. (1984). Repairable systems reliability: modeling, inference, misconceptions and their causes. M. Dekker New York.
Aven, T. (1983). “Optimal replacement under a minimal repair strategy : A general failure model”. En: Advances in Applied Probability 15(1), págs. 198-211.
Aven, T. y Jensen, U. (2000). “A general minimal repair model”. En: Journal of Applied Probability 37(1), págs. 187-197.
Bain, L. J. (1974). “Analysis for the linear failure-rate life-testing distribution”. En: Technometrics 16(4), págs. 551-559.
Barlow, R. y Hunter, L. (1960). “Optimum preventive maintenance policies”. En: Operations Research 8(1), págs. 90-100.
Block, H. W., Borges, W. D. S. y Savits, T. H. (1990). “A general age replacement model with minimal repair”. En: Naval Research Logistics (NRL) 35(5), págs. 365-372.
Block, H. W. y Savits, T. H. (1997). “Burn-in”. En: Statistical Science 12(1), págs. 1-19
Brent, R. P. (1973). “Algorithms for Minimization without Derivatives”. En: Prentice-Hall, Englewood Cliffs, New Jersey.
Brown, M. y Proschan, F. (1983). “Imperfect repair”. En: Journal of Applied Probability 20(4), págs. 851-859.
Chen, Z. (2000). “A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function”. En: Statistics & Probability Letters 49(2), págs. 155-161.
Chien, Y.-H. (2019). “The optimal preventive-maintenance policy for a NHPBP repairable system under free-repair warranty”. En: Reliability Engineering & System Safety 188, págs. 444-453.
Coetzee, J. L. (1996). “Reliability degradation and the equipment replacement problem”. En: Proceedings of the International Conference of Maintenance Societies.
Colosimo, E. A., Gilardoni, G. L., Santos, W. B. y Motta, S. B. (2010). “Optimal maintenance time for repairable systems under two types of failures”. En: Communications in Statistics Theory and Methods 39(7), págs. 1289-1298.
Coolen-Schrijner, P. y Coolen, F. P. (2007). “Nonparametric adaptive age replacement with a one-cycle criterion”. En: Reliability Engineering & System Safety 92(1), págs. 74-84.
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Gilardoni, G. L., Guerra De Toledo, M. L., Freitas, M. A. y Colosimo, E. A. (2016). “Dynamics of an optimal maintenance policy for imperfect repair models”. En: European Journal of Operational Research 248(3), págs. 1104-1112
Guida, M. y Pulcini, G. (2009). “Reliability analysis of mechanical systems with bounded and bathtub shaped intensity function”. En: IEEE Transactions on Reliability 58(3), págs. 432-443.
Guo, H., Mettas, A., Sarakakis, G. y Niu, P. (2010). “Piecewise NHPP models with maximum likelihood estimation for repairable systems”. En: 2010 Proceedings-Annual Reliability and Maintainability Symposium (RAMS), San Jose, págs. 1-7. DOI: 10.1109/RAMS.2010. 5448029
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Pham, H. y Wang, H. (1996). “Imperfect maintenance”. En: European Journal of Operational Research 94(3), págs. 425-438.
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Pulcini, G. (2001a). “A bounded intensity process for the reliability of repairable equipment”. En: Journal of Quality Technology 33(4), págs. 480-492.
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dc.rights.license.spa.fl_str_mv Reconocimiento 4.0 Internacional
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dc.publisher.department.spa.fl_str_mv Escuela de estadística
dc.publisher.faculty.spa.fl_str_mv Facultad de Ciencias
dc.publisher.place.spa.fl_str_mv Medellín, Colombia
dc.publisher.branch.spa.fl_str_mv Universidad Nacional de Colombia - Sede Medellín
institution Universidad Nacional de Colombia
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spelling Reconocimiento 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2González Álvarez, Nelfi Gertrudis86e82e93e46d66537cc159764c3be3b4Vargas Correa, Raquel69cd298d0ef2671ff817bd4ae8be1e7a2022-03-25T15:36:49Z2022-03-25T15:36:49Z2021https://repositorio.unal.edu.co/handle/unal/81385Universidad Nacional de ColombiaRepositorio Institucional Universidad Nacional de Colombiahttps://repositorio.unal.edu.co/ilustraciones, diagramas, tablasEl análisis de equipos reparables ha sido un tema con gran desarrollo en confiabilidad. Un acercamiento común al modelamiento de este tipo de sistemas es por medio procesos de conteo, entre ellos los procesos Poisson. Dentro de los procesos Poisson existen los homogéneos que tienen tasa constante y los no homogéneos donde la tasa de recurrencia depende del tiempo. En la literatura existen dos modelos de procesos Poisson no homogéneos (NHPP) que son ampliamente difundidos: el modelo ley potencia y el modelo log lineal, pero ambos modelos son incapaces de modelar tasas de recurrencia de procesos falla/reparo en forma de bañera, es decir una tasa de recurrencia caracterizada por tres periodos: “mortalidad infantil”, “vida útil” y “desgaste”. Existen alternativas para modelar tasas de recurrencia en forma de bañera, pero modelar tasas de falla en forma de bañera donde la parte de “vida útil” sea “plana” presenta dificultades. Este trabajo consiste en la adaptación de una distribución de vida con hazard flexible en un modelo NHPP que pueda modelar tasas de falla en forma de bañera con parte plana extendida, y adicional a esto, plantear un modelo de mantenimiento preventivo óptimo bajo el supuesto de reparación mínima con este nuevo modelo NHPP. (Texto tomado de la fuente)The analysis of repairable equipment has been a subject with great development in reliability. A common approach to modeling this type of system is through counting processes, including Poisson processes. Within the Poisson processes there are homogeneous ones that have a constant rate and non-homogeneous ones where the recurrence rate depends on time. In the literature 8 there are two models of non-homogeneous Poisson processes (NHPP) that are widely spread: the power law model and the linear log model, but both models are unable to model recurrence rates of failure/repair processes in the form of a bathtub, that is, say a recurrence rate characterized by three periods: “infant mortality”, “service life” and “attrition”. There are alternatives to modeling bathtub-shaped recurrence rates, but modeling bathtub-shaped failure rates where the “service life” part is “flat” presents difficulties. This work consists of the adaptation of a life distribution with flexible hazard in an NHPP model that can model failure rates in the form of a bathtub with an extended flat part, and in addition to this, propose an optimal preventive maintenance model under the minimum repair assumption with this new NHPP model.MaestríaMaestría en Ciencias - EstadísticaÁrea Curricular Estadística84 páginasapplication/pdfspa510 - Matemáticas::519 - Probabilidades y matemáticas aplicadasDistribution (probability theory)Distribución (Teoría de probabilidades)Distribución de PaissonPoisson distributionIntensidad de falla en forma de bañeraReparación imperfectaReparación mínimaProceso de Poisson no homogéneoMantenimiento preventivo óptimoModelo proporcional de reducción de la edadBathtub-Shaped Failure IntensityImperfect RepairMinimal RepairNonhomogeneous Poisson ProcessOptimal Preventive MaintenanceProportional Age-Reduction ModelProceso NHPP y política óptima de mantenimiento sobre sistemas reparables con función de intensidad de falla Log-normal Weibull modificadaNHPP process and optimal policy of maintenance on repairable systems with fault intensity function log-normal Modified WeibullTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMMedellín - Ciencias - Maestría en Ciencias - EstadísticaEscuela de estadísticaFacultad de CienciasMedellín, ColombiaUniversidad Nacional de Colombia - Sede MedellínAlmalki, S. J. y Yuan, J. (2013). “A new modified Weibull distribution”. En: Reliability Engineering & System Safety 111, págs. 164-170.Ascher, H. y Feingold, H. (1984). Repairable systems reliability: modeling, inference, misconceptions and their causes. M. Dekker New York.Aven, T. (1983). “Optimal replacement under a minimal repair strategy : A general failure model”. En: Advances in Applied Probability 15(1), págs. 198-211.Aven, T. y Jensen, U. (2000). “A general minimal repair model”. En: Journal of Applied Probability 37(1), págs. 187-197.Bain, L. J. (1974). “Analysis for the linear failure-rate life-testing distribution”. En: Technometrics 16(4), págs. 551-559.Barlow, R. y Hunter, L. (1960). “Optimum preventive maintenance policies”. En: Operations Research 8(1), págs. 90-100.Block, H. W., Borges, W. D. S. y Savits, T. H. (1990). “A general age replacement model with minimal repair”. En: Naval Research Logistics (NRL) 35(5), págs. 365-372.Block, H. W. y Savits, T. H. (1997). “Burn-in”. En: Statistical Science 12(1), págs. 1-19Brent, R. P. (1973). “Algorithms for Minimization without Derivatives”. En: Prentice-Hall, Englewood Cliffs, New Jersey.Brown, M. y Proschan, F. (1983). “Imperfect repair”. En: Journal of Applied Probability 20(4), págs. 851-859.Chen, Z. (2000). “A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function”. En: Statistics & Probability Letters 49(2), págs. 155-161.Chien, Y.-H. (2019). “The optimal preventive-maintenance policy for a NHPBP repairable system under free-repair warranty”. En: Reliability Engineering & System Safety 188, págs. 444-453.Coetzee, J. L. (1996). “Reliability degradation and the equipment replacement problem”. En: Proceedings of the International Conference of Maintenance Societies.Colosimo, E. A., Gilardoni, G. L., Santos, W. B. y Motta, S. B. (2010). “Optimal maintenance time for repairable systems under two types of failures”. 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EVESURBIFBPUiBMQSBTRUNSRVRBUsONQSBHRU5FUkFMLiAqTEEgVEVTSVMgQSBQVUJMSUNBUiBERUJFIFNFUiBMQSBWRVJTScOTTiBGSU5BTCBBUFJPQkFEQS4gCgpBbCBoYWNlciBjbGljIGVuIGVsIHNpZ3VpZW50ZSBib3TDs24sIHVzdGVkIGluZGljYSBxdWUgZXN0w6EgZGUgYWN1ZXJkbyBjb24gZXN0b3MgdMOpcm1pbm9zLiBTaSB0aWVuZSBhbGd1bmEgZHVkYSBzb2JyZSBsYSBsaWNlbmNpYSwgcG9yIGZhdm9yLCBjb250YWN0ZSBjb24gZWwgYWRtaW5pc3RyYWRvciBkZWwgc2lzdGVtYS4KClVOSVZFUlNJREFEIE5BQ0lPTkFMIERFIENPTE9NQklBIC0gw5psdGltYSBtb2RpZmljYWNpw7NuIDE5LzEwLzIwMjEK

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