1. Determine the optimal renewal interval τ and the corresponding maintenance cost rate K(τ) for policy 1 (section 3.2.6.2) given that the system lifetime has a Weibull distribution with form...

1. Determine the optimal renewal interval τ
and the corresponding maintenance cost rate K(τ) for policy 1 (section 3.2.6.2) given that the system lifetime has a Weibull distribution with form parameter

and scale parameter θ; β > 1, θ > 0.

2. Prove the multinomial criterion (formula 3.55). Assume that L has density fL.