Journal of Quality and Reliability Engineering

Research Article

Optimization Problems of Costs in a MultiState System with Imperfect Maintenance

Table 5

Optimal values for s and v and corresponding optimal costs .


	DLFRD(α, β)	DRD(β)	DWD(β, γ)	DMWD(α, β, γ)
	α = 0.01 β = 5.4 10⁻³	β = 8.6 10⁻³	β = 8.39 10⁻⁴ γ = 3	α = 0.03 β = 4.76 10⁻⁴ γ = 3


δ = 0.5	s = 1 v = 8 = 0.3755	s = 1 v = 6 = 0.3675	s = 1 v = 5 = 0.3009	s = 1 v = 6 = 0.3331
δ = 1	s = 1 v = 7 = 0.3724	s = 1 v = 6 = 0.3626	s = 1 v = 5 = 0.2938	s = 1 v = 6 = 0.3281
δ = 2	s = 4 v = 1 = 0.3461	s = 4 v = 1 = 0.3508	s = 3 v = 1 = 0.2661	s = 4 v = 1 = 0.2963
δ = 1/8	s = 1 v = 8 = 0.3776	s = 1 v = 6 = 0.3714	s = 1 v = 5 = 0.3064	s = 1 v = 7 = 0.3363
δ = 8	s = 2 v = 1 = 0.1772	s = 1 v = 1 = 0.1328	s = 2 v = 1 = 0.0534	s = 2 v = 1 = 0.1227


δ = 0.5	s = 1 v = 9 = 0.2886	s = 1 v = 7 = 0.2936	s = 1 v = 6 = 0.2572	s = 1 v = 7 = 0.2687
δ = 1	s = 1 v = 9 = 0.2864	s = 1 v = 7 = 0.2899	s = 1 v = 6 = 0.2522	s = 1 v = 7 = 0.2650
δ = 2	s = 5 v = 1 = 0.2666	s = 4 v = 1 = 0.2735	s = 4 v = 1 = 0.2214	s = 5 v = 1 = 0.2336
δ = 1/8	s = 1 v = 10 = 0.2902	s = 1 v = 8 = 0.2959	s = 1 v = 6 = 0.2610	s = 1 v = 8 = 0.2711
δ = 8	s = 2 v = 1 = 0.1200	s = 2 v = 1 = 0.0914	s = 2 v = 1 = 0.0374	s = 2 v = 1 = 0.0837


δ = 0.5	s = 1 v = 13 = 0.1875	s = 1 v = 11 = 0.2010	s = 1 v = 8 = 0.1985	s = 1 v = 10 = 0.1916
δ = 1	s = 1 v = 13 = 0.1864	s = 1 v = 10 = 0.1993	s = 1 v = 8 = 0.1957	s = 1 v = 9 = 0.1895
δ = 2	s = 7 v = 1 = 0.1636	s = 6 v = 1 = 0.1776	s = 5 v = 1 = 0.1632	s = 6 v = 1 = 0.1566
δ = 1/8	s = 1 v = 14 = 0.1883	s = 1 v = 11 = 0.2021	s = 1 v = 8 = 0.2006	s = 1 v = 10 = 0.1930
δ = 8	s = 2 v = 1 = 0.0628	s = 2 v = 1 = 0.0485	s = 2 v = 1 = 0.0215	s = 2 v = 1 = 0.0446