550 likes | 664 Views
PARTIE II. Introduction à la Modélisation & à l’ Optimisation Modèle GPIM vs GRP Optimisation « Overhaul Policy B-H » Antinomie selon le REX pour la modélisation MC/MP GPIM_PLP vs GPIM_LLP. REF 1 : cf.Generalized proportional intensities models for repairable systems.
E N D
PARTIE II Introduction à la Modélisation & à l’ Optimisation • Modèle GPIM vs GRP • Optimisation « Overhaul Policy B-H » • Antinomie selon le REX pour la modélisation MC/MP GPIM_PLP vs GPIM_LLP
REF 1 :cf.Generalized proportional intensities models for repairable systems. By D.F. PERCY & B.M. ALKALI. Journal of Management Mathematics(2006) 17,171-185.
REF 2 : cf. Discontinuous point processes for the analysis of repairable units .By R.CALABRIA & G. PULCINI. International Journal OF Reliability, Quality and Safety Engineering (1999) Vol.6, N°.4, 361-382.
REF 3:P_PLP cf.Practical Methods for Modeling Repairable Systems with Time Trends and Repair Effects. by H. GUO, W. ZHAO & A. METTAS. IEEE(2006).L_LLP cf.A New Stochastic Model for Systems Under General Repair. by H. GUO, W. ZHAO & A. METTAS. IEEE(2007).
With the power-law intensity baseline functionLog Likelihood “ SIMPLE SYSTEM TYPE I ”PARTIAL REPAIR (CM (PERCY) , (GUO) , (CALABRIA))
GRAPHIQUE par CALCUL ANALYTIQUE du modèle P_PLP/PIM_PLPP_PLP[_,t_] = (-1/)*Log[(1-*λ*t^)]; = 3, λ = 0.001. = Exp[-]
With the log-linear intensity baseline functionLog Likelihood “ SIMPLE SYSTEM TYPE I ”PARTIAL REPAIR (CM (PERCY) , (GUO) , (CALABRIA))
Log Likelihood “ MULTI- SYSTEMS TYPE I ” (1/2)PARTIAL REPAIR (CM (GUO))
Log Likelihood “ MULTI- SYSTEMS TYPE I ” (2/2)PARTIAL REPAIR (CM (GUO))
RE-ANALYSE LK_HPP = - 152.85 AIC_HPP = 307.7 BIC_HPP = 309.52
GENERALIZED PROPORTIONAL INTENSINTIES MODELSWhitout Covariates Log Likelihood “ SIMPLE SYSTEM ”GPIM ( CM + PM )
EXAMPLE I : SIMPLE SYSTEM (General Repair)cf. Scheduling preventive maintenance for oil pumps using generalized proportional intensities models by D.F. PERCY & B.M. ALKALI. International Transactions in Operational Research. 14 (2007) 547-563.
EXAMPLE I I : SIMPLE SYSTEM (General Repair)Cf. A pratical method of predicting the failure intensity of hydropower generating units.By X. QIAN & Y. WUIEEE 2011
EXAMPLE III : SIMPLE SYSTEM (General Repair)Cf. Bayesian Prediction of the Overhaul Effect on a Repairable Systemwith Bounded Failure Intensity.(International Journal of Quality, Statistics and Reliability 2010).