The Lambert W is a transcendental function defined by solutions of the equation Wexp(W)=x. For real values of the argument, x, the W-function has two branches, W0 (the principal branch) and W−1 (the negative branch). A survey of the literature reveals that, in the case of the principal branch...

We study two-sided ("marriage") and general pairing ("roommate") problems. We introduce "sequences," lists of matchings that are repeated in order. Stable sequences are natural extensions of stable matchings; case in point, we show that a sequence of stable matchings is stable. In addition,...

The use of agent-based modeling in economics is a step forward enabling a more realistic description of the complex interactions and behaviors occurring in the economic environment. Although it offers increased realism, especially in describing how local characteristics generate global patterns,...

In industrial experiments on both design (control) factors and noise factors aimed at improving the quality of manufactured products, designs are needed which afford independent estimation of all design×noise interactions in as few runs as possible, while allowing aliasing between those...