Type Ia supernova progenitors, lifetime, and cosmic supernova rate

We make a comparison of the lifetime distribution derived from several models of Type Ia Supernovae (SNe Ia) and evaluate the SN Ia models from the observational constraints. Our SN Ia model, which is based on the single degenerate scenario and includes the metallicity effect, gives better reproduction of the [O/Fe]-(Fe/H) relation in the solar neighborhood if compared to, e.g., Matteucci & Recchi (2001). We also provide predictions of the cosmic supernova rate history.