A new lower bound for wrap-around L2L2-discrepancy on two and three mixed level factorials

The objective of this paper is to study the issue of lower bound of the wrap-around L2L2-discrepancy value on asymmetrical designs with two and three mixed levels. We present a new lower bound of wrap-around L2L2-discrepancy, and by numerical simulation and some examples, we show that our lower bound behaves better than those in the literature.