Journal of Quality and Reliability Engineering

Research Article

Optimization Problems of Costs in a MultiState System with Imperfect Maintenance

Table 1

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 = 0.0366	β = 0.0388	β = 0.0078 γ = 3	α = 0.03 β = 6.1 10⁻³ γ = 3


δ = 0.5	s = 1 v = 3 = 0.7457	s = 1 v = 3 = 0.7485	s = 1 v = 2 = 0.5937	s = 1 v = 2 = 0.6182
δ = 1	s = 1 v = 2 = 0.6359	s = 1 v = 2 = 0.6321	s = 1 v = 2 = 0.4717	s = 1 v = 2 = 0.4962
δ = 2	s = 1 v = 2 = 0.5248	s = 1 v = 2 = 0.5210	s = 1 v = 2 = 0.3605	s = 1 v = 2 = 0.3851
δ = 1/8	s = 1 v = 3 = 0.8593	s = 1 v = 3 = 0.8621	s = 1 v = 2 = 0.7408	s = 1 v = 3 = 0.7572
δ = 8	s = 1 v = 1 = 0.3633	s = 1 v = 1 = 0.3530	s = 1 v = 1 = 0.1681	s = 1 v = 1 = 0.2229


δ = 0.5	s = 1 v = 3 = 0.5527	s = 1 v = 3 = 0.5545	s = 1 v = 2 = 0.4920	s = 1 v = 3 = 0.4846
δ = 1	s = 1 v = 3 = 0.4694	s = 1 v = 3 = 0.4712	s = 1 v = 2 = 0.3700	s = 1 v = 2 = 0.3863
δ = 2	s = 1 v = 2 = 0.3684	s = 1 v = 2 = 0.3659	s = 1 v = 2 = 0.2589	s = 1 v = 2 = 0.2752
δ = 1/8	s = 1 v = 4 = 0.6637	s = 1 v = 3 = 0.6682	s = 1 v = 3 = 0.6087	s = 1 v = 3 = 0.5982
δ = 8	s = 1 v = 1 = 0.2435	s = 1 v = 1 = 0.2366	s = 1 v = 1 = 0.1134	s = 1 v = 1 = 0.1499


δ = 0.5	s = 1 v = 4 = 0.3414	s = 1 v = 4 = 0.3445	s = 1 v = 3 = 0.3309	s = 1 v = 3 = 0.3256
δ = 1	s = 1 v = 3 = 0.2763	s = 1 v = 3 = 0.2773	s = 1 v = 3 = 0.2476	s = 1 v = 3 = 0.2423
δ = 2	s = 1 v = 2 = 0.2120	s = 1 v = 2 = 0.2107	s = 1 v = 2 = 0.1572	s = 1 v = 2 = 0.1654
δ = 1/8	s = 1 v = 5 = 0.4261	s = 1 v = 5 = 0.4314	s = 1 v = 3 = 0.4445	s = 1 v = 4 = 0.4248
δ = 8	s = 1 v = 1 = 0.1237	s = 1 v = 1 = 0.1203	s = 1 v = 1 = 0.0586	s = 1 v = 1 = 0.0769