  We review the construction of a concrete supersymmetric grand unified model,
which naturally leads to a moderate violation of "asymptotic" Yukawa
unification and, thus, can allow an acceptable b-quark mass within the
constrained minimal supersymmetric standard model with mu>0. The model
possesses a wide and natural range of parameters which is consistent with the
data on the cold dark matter abundance in the universe, b-->s gamma, the muon
anomalous magnetic moment and the Higgs boson masses. Also, it automatically
leads to a new version of shifted hybrid inflation, which avoids overproduction
of monopoles at the end of inflation by using only renormalizable terms.
