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Table 4 Optimal \(T^{*}\) and \(J\left( {T^{*} } \right)\) for different values of \(\xi\)

From: Selecting statistical model and optimum maintenance policy: a case study of hydraulic pump

Model Optimal values Additional cost
\(\xi\) = 70,000 \(\xi\) = 90,000 \(\xi\) = 110,000 \(\xi\) = 130,000
Threefold Weibull \(T^{*}\) 14,631 14,484 14,377 14,295
\(J\left( {T^{*} } \right)\;\) 10.40593 11.43373 12.45314 13.46734
Weibull–Normal–Exponential \(T^{*}\) 14,468 14,361 14,286 14,230
\(J\left( {T^{*} } \right)\;\) 10.33359 11.33318 12.3265 13.31607
Normal–Lognormal–Weibull \(T^{*}\) 14,476 14,368 14,291 14,234
\(J\left( {T^{*} } \right)\;\) 10.32712 11.32669 12.31991 13.30929