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

A proof on the optimal arrangement of a linear consecutive-k-out-of-n:G system, with n=2k, was given by Jalali et al. [2005. The optimal consecutive-k-out-of-n:G line for n⩽2k. J. Statist. Plann. Inference 128, 281-287]. However, a corollary for the case n<2k 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.