Determining the optimal periodicity for preventive replacement of mechanical spare parts
DOI:
https://doi.org/10.54246/t8xc7f82المراجع
B. Al-Najjar, I. Alsyouf, Selecting the most efficient maintenance
approach using fuzzy multiple criteria decision making, Int. J. Prod.
Econ. 84 (2003)
R.E. Barlow, F. Proschan, Mathematical theory of reliability, Wiley, New
York (1965).5-100
J.K. Vaurio, Availability and cost functions for periodically inspected
preventively maintained units, Reliab. Eng. Syst. Safe. 63 (1999) 133–
140.
R. Bris, New method to minimize the preventive maintenance cost of
series-parallel systems, Reliab. Eng. Syst. Safe. 82 (2004) 247–255.
M. Samrout, F. Yalaoui, E. Chatelet, N. Chebbo, New methods to
minimize the preventive maintenance cost of series-parallel systems
using ant colonyoptimization, Reliab. Eng. Syst. Safe. 89 (2005) 346–
364.
A. Chelbi, D.A. Kadi, Analysis of a production/inventory system with
randomly failing production unit submitted to regular preventive
maintenance,Eur. J. Oper. Res. 156 (2004) 712–723.
I. El-Amin, S. Duffuaa, M. Abbas, A tabu search algorithm for
maintenance scheduling of generating units, Electr. Power Syst. Res. 54
(2000) 91–99.
Y. Chien, A number-dependent replacement policy for a system with
continuous preventive maintenance and random lead times, Appl. Math.
Model.33 (2009) 1708–1718.
B. Jones, I. Jenkinson, J. Wang, Methodology of using delay-time
analysis for a manufacturing industry, Reliab. Eng. Syst. Safe. 94 (2009)
111–124.
R.H. Yeh, G.C. Chen, M.Y. Chen, Optimal age-replacement policy for
non-repairable products under renewing free-replacement warranty, IEEE
Transactions on Reliability 54 (1) (2005) 92–97.
Y.H. Chien, Determining optimal warranty periods from the seller’s
perspective and optimal out-of-warranty replacement age from the
buyer’s perspective, International Journal of Systems Science 36 (10)
(2005) 361–367.
Nosoohi, S.R. Hejazi, A multi-objective approach to simultaneous
determination of spare part numbers and preventive replacement times,
Appl. Math. Model. 35 (2011) 1157–1166.
T. Halim, L.C. Tang, Confidence interval for optimal preventive
maintenance interval and its applications in maintenance planning, Int J
Adv Manuf Technol 40 (2009) 203–213.
G.M. Jung, D.H Park, Optimal maintenance policies during the postwarranty
period, Reliab. Eng. Syst. Safe. 82 (2003) 173–185.
Y.H. Chien, J.A. Chen, Optimal spare ordering policy for preventive
replacement under cost effectiveness criterion, Appl. Math. Model. 34
(2010) 716–724.
R.E. Barlow, L.C. Hunter, Optimum preventive maintenance policies,
Oper. Res. 8 (1960) 90–100.
B. Bergman, on the optimality of stationary replacement strategies, J.
App. Prob. 17 (1980) 78–86.
Nomenclature
C Cost ratio of system preventive replacement to cost of
system failure
Cc Cost of system failure
Cp Cost of system preventive replacement
F(t) Unreliability of the system over time t, F (t) = 1 – R(t)ƒ(t)
PM preventive Maintenance
CM corrective Maintenance
R(t ) Reliability of the system over time t
f (t) Failure density of the system, f (t) = - R’(t)
M(T) Renewal function of block replacement policy:
C(T) Total cost per unit time when T is the replacement Time
η Weibull distribution scale parameter
β Weibull distribution shape parameter
y(μ) Function report / ratio of cost
μ0, μ1 Root of y(μ)
approach using fuzzy multiple criteria decision making, Int. J. Prod.
Econ. 84 (2003)
R.E. Barlow, F. Proschan, Mathematical theory of reliability, Wiley, New
York (1965).5-100
J.K. Vaurio, Availability and cost functions for periodically inspected
preventively maintained units, Reliab. Eng. Syst. Safe. 63 (1999) 133–
140.
R. Bris, New method to minimize the preventive maintenance cost of
series-parallel systems, Reliab. Eng. Syst. Safe. 82 (2004) 247–255.
M. Samrout, F. Yalaoui, E. Chatelet, N. Chebbo, New methods to
minimize the preventive maintenance cost of series-parallel systems
using ant colonyoptimization, Reliab. Eng. Syst. Safe. 89 (2005) 346–
364.
A. Chelbi, D.A. Kadi, Analysis of a production/inventory system with
randomly failing production unit submitted to regular preventive
maintenance,Eur. J. Oper. Res. 156 (2004) 712–723.
I. El-Amin, S. Duffuaa, M. Abbas, A tabu search algorithm for
maintenance scheduling of generating units, Electr. Power Syst. Res. 54
(2000) 91–99.
Y. Chien, A number-dependent replacement policy for a system with
continuous preventive maintenance and random lead times, Appl. Math.
Model.33 (2009) 1708–1718.
B. Jones, I. Jenkinson, J. Wang, Methodology of using delay-time
analysis for a manufacturing industry, Reliab. Eng. Syst. Safe. 94 (2009)
111–124.
R.H. Yeh, G.C. Chen, M.Y. Chen, Optimal age-replacement policy for
non-repairable products under renewing free-replacement warranty, IEEE
Transactions on Reliability 54 (1) (2005) 92–97.
Y.H. Chien, Determining optimal warranty periods from the seller’s
perspective and optimal out-of-warranty replacement age from the
buyer’s perspective, International Journal of Systems Science 36 (10)
(2005) 361–367.
Nosoohi, S.R. Hejazi, A multi-objective approach to simultaneous
determination of spare part numbers and preventive replacement times,
Appl. Math. Model. 35 (2011) 1157–1166.
T. Halim, L.C. Tang, Confidence interval for optimal preventive
maintenance interval and its applications in maintenance planning, Int J
Adv Manuf Technol 40 (2009) 203–213.
G.M. Jung, D.H Park, Optimal maintenance policies during the postwarranty
period, Reliab. Eng. Syst. Safe. 82 (2003) 173–185.
Y.H. Chien, J.A. Chen, Optimal spare ordering policy for preventive
replacement under cost effectiveness criterion, Appl. Math. Model. 34
(2010) 716–724.
R.E. Barlow, L.C. Hunter, Optimum preventive maintenance policies,
Oper. Res. 8 (1960) 90–100.
B. Bergman, on the optimality of stationary replacement strategies, J.
App. Prob. 17 (1980) 78–86.
Nomenclature
C Cost ratio of system preventive replacement to cost of
system failure
Cc Cost of system failure
Cp Cost of system preventive replacement
F(t) Unreliability of the system over time t, F (t) = 1 – R(t)ƒ(t)
PM preventive Maintenance
CM corrective Maintenance
R(t ) Reliability of the system over time t
f (t) Failure density of the system, f (t) = - R’(t)
M(T) Renewal function of block replacement policy:
C(T) Total cost per unit time when T is the replacement Time
η Weibull distribution scale parameter
β Weibull distribution shape parameter
y(μ) Function report / ratio of cost
μ0, μ1 Root of y(μ)
