The k-mutual exclusion problem is the problem of guaranteeing that no more
than Ic computing nodes enter a critical section simultaneously. The use of
a k-coterie, which is a special set of node groups, is known as a robust a
pproach to this problem. In general, k-coteries are classified as either do
minated or nondominated, and a mutual exclusion mechanism has maximal avail
ability when it employs a nondominated k-coterie. In this paper, we propose
tno new schemes called VOT and D-VOT for constructing nondominated k-coter
ies. We conduct a comparative evaluation of the proposed schemes and well-k
nown previous schemes. The results clearly show the superiority of the prop
osed schemes.