In the days of hand bid matching, the bid cards are put in alpha order and read thru by a committee. The woman is matched to her first choice if possible. if she is not on the first bid list of that group, her card is turned over and they go to the next one. As each group matches to a PNM, the person working that group's list moves down a name so that the total number of their matches and available PNMs always equals quota. And so it goes on thru the entire pack of bid cards. And then over and over until all are matched or there is no way to match the remaining cards. Thre is a system for gridlock should it occur. Anyone who has access to the NPC MOI (Green Book) can look it up in there under Bid Matching. The computer programs now do this but they mirror this system.
And just do it much faster.
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AOII
One Motto, One Badge, One Bond and Singleness of Heart!