Journal of Quality and Reliability Engineering

Research Article

Optimization Problems of Costs in a MultiState System with Imperfect Maintenance

Table 2

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 = 0.0075 		β = 0.0086 β = 8.31 10−4  
γ = 3		α = 0.03
β = 4.76 10−4  
γ = 3
    
  δ = 0.5s = 2
v = 6
= 0.3730		s = 1
v = 6
= 0.3727		s = 2
v = 4
= 0.3065		s = 2
v = 5
= 0.3273
  δ = 1s = 2
v = 5
= 0.3326		s = 2
v = 4
= 0.3310		s = 2
v = 4
= 0.2547		s = 2
v = 5
= 0.2858
  δ = 2s = 3
v = 2
= 0.2657		s = 3
v = 2
= 0.2615		s = 3
v = 2
= 0.1778		s = 3
v = 2
= 0.2157
  δ = 1/8s = 1
v = 7
= 0.3755		s = 1
v = 6
= 0.3727		s = 1
v = 5
= 0.3073		s = 1
v = 7
= 0.3373
  δ = 8s = 2
v = 1
= 0.1465		s = 2
v = 1
= 0.1327		s = 2
v = 1
= 0.0513		s = 2
v = 1
= 0.1211
    
  δ = 0.5s = 2
v = 7
= 0.2861		s = 2
v = 6
= 0.2895		s = 2
v = 5
= 0.2529		s = 2
v = 6
= 0.2580
  δ = 1s = 3
v = 5
= 0.2518		s = 2
v = 5
= 0.2545		s = 2
v = 5
= 0.2114		s = 3
v = 4
= 0.2187
  δ = 2s = 3
v = 3
= 0.1921		s = 3
v = 3
= 0.1915		s = 3
v = 2
= 0.1371		s = 3
v = 3
= 0.1571
  δ = 1/8s = 1
v = 8
= 0.2951		s = 1
v = 8
= 0.2967		s = 1
v = 6
= 0.2615		s = 1
v = 8
= 0.2718
  δ = 8s = 2
v = 1
= 0.0990		s = 2
v = 1
= 0.0897		s = 2
v = 1
= 0.0355		s = 2
v = 1
= 0.0820
    
  δ = 0.5s = 2
v = 10
= 0.1858		s = 2
v = 9
= 0.1901		s = 2
v = 7
= 0.1867		s = 2
v = 8
= 0.1775
  δ = 1s = 3
v = 7
= 0.1552		s = 3
v = 6
= 0.1586		s = 3
v = 5
= 0.1473		s = 3
v = 6
= 0.1413
  δ = 2s = 3
v = 4
= 0.1128		s = 3
v = 4
= 0.1136		s = 3
v = 3
= 0.0894		s = 4
v = 3
= 0.0952
  δ = 1/8s = 1
v = 12
= 0.1984		s = 1
v = 11
= 0.2025		s = 1
v = 8
= 0.2007		s = 1
v = 10
= 0.1934
 δ = 8s = 2
v = 1
= 0.0514		s = 2
v = 1
= 0.0468		s = 2
v = 1
= 0.0197		s = 2
v = 1
= 0.0430