Optimal Inspection Policies With an Equality Constraint Based on the Variational Calculus

Optimal Checkpoint Placement with Equality Constraints

“…More precisely, the problem is to minimize the expected recovery cost (expected checkpointing cost) subject to a given level of the expected checkpointing cost (expected recovery cost). This idea on equality constraints is used for a classical inspection problem by the same authors [14]. We extend their result to more general cases with application of checkpoint placement.…”

“…After some algebraic manipulations, we have (14) where F (·) = 1 − F (·). Once the optimal CP density D * (t) is obtained, the sub-optimal CP sequencet * = {t * 1 , t * 2 , t * 3 , · · · } can be calculated so as to satisfy the following equation:…”