The shidduch system, according to many sources, isn't working and we're in a "shidduch crisis." See, e.g. this article. People complain, but nothing gets done.
I don't see that the shadchan system is working for everyone with resumes and references is really working. Among non-Hasidic Jews, there is a surplus of women over 24 who are still single, and in the Hasidic community there is a surplus of men over 24 who have not married. (Source, Mishpacha magazine, Succos edition 2015).
I have observed that the restrictions on getting single boys and girls in the same room could go to the heart of the problem. Such restrictions weren't always an issue, however. I heard that Rabbi Moshe David Tendler, shlita, a senior rosh yeshiva at Yeshiva University's rabbinic college and son-in-law of Rav Moshe Feinstein, zt'l, was married at a wedding where the tables had mixed-sex seating and singles were put at smaller tables so they could meet and talk. Rav Tendler said about that mixing the singles was approved by his father-in-law but he facetiously added "some would say my father-in-law didn't know the halacha.") Also, I understand from Rabbi Berel Wein, shlita, that mixed seating at weddings was common at the weddings of many European gedolim and their sons and daughters, with the lone exception of Hungary. He said since the Germans took over Hungary last, more Jews survived and so did their customs.
Why shouldn't I invite boys from the yeshiva gedolah to meet single girls of the same age at my Shabbos table? Would it be better if I invited their parents as well? What sources say that inviting singles to my home to meet at a Shabbos meal, for purposes of helping them to find a shidduch, is improper?