The vigour of the mother tree can help in a number of ways. If it had been fertilized adequately during the past growing season then the cuttings are supposed to have better nutrient storage. Cuttings taken from the sunny side also help in the cuttings stored energy. A good lignified (current or last year woody) thick cutting with closed nodes can assure success. Also, it had been noted that it makes difference to some extent if cutting is taken close to the basal or apical end of the plant. If you surf the F4F and GW fig forums, you will come across many such factors described.
Jenia, early fruiting is not a big problem but early (or on time) ripening is a real problem. Some cuttings will have fruit even the first year but if the plants are not in a warm zone, many fig fruits many not ripen in the first year and few in the second year. However, as the trees mature over the years, it may start ripening earlier (other conditions being the same or better).
Also, only your own experience can really apply to your location and site. Data from other threads can help but cannot be realized to all locations because of climate, soil, day length and many other factors. Keep good records.