A note on the proof for the optimal consecutive-k-out-of-n:G line for n⩽2k☆

Abstract A proof on the optimal arrangement of a linear consecutive-k-out-of- n : G system, with n = 2 k , was given by Jalali et al. [2005. The optimal consecutive-k-out-of- n : G line for n ⩽ 2 k . J. Statist. Plann. Inference 128, 281–287]. However, a corollary for the case n 2 k was still incomplete. In this note we point out what is missing from the proof of that corollary and present a new proof using a different approach.