At the beginning of the first book, when Harry first visits Diagon Alley to buy his school supplies, he tries out a large number of wands in Ollivander's shop. And, while we know that a skilled witch or wizard would be capable of using pretty much any wand, we also know that the wand chooses the wizard. It seems reasonable that when purchasing a (new) wand they would want the wand that is best suited for them, and would always go through a process similar to the one Harry did.
During the events of the last book it's mentioned that Ollivander made new wands for at least two people, Wormtail and Luna Lovegood. Since he didn't have the option of making a number of new wands, and having them test them all to find the one best suited for them, how exactly does he know what to make the wand from? Based on the Pottermore quote in the answer to this question, it seems they could make a reasonable guess about what characteristics the wand should have based on the owner.
However, is there a neater way: Simply making a new wand that exactly matches their old one? Is there any canon evidence to support or disprove the theory that, if a wand maker were to make two identical wands, they would both choose the same witch or wizard and work equally as well for them?