Why not just have a tag for searching? Searching is a problem, no need to add the word to the tag; and there's already a tag for algorithms. Come on, let's get rid of these.
As pointed out by Kaveh, search-problem has a more narrow technical meaning. While I am still personally unconvinced that this warrants having a tag for it, it can reasonably be taken as an argument in favor of having it. As such, you may feel free to focus on the search-algorithms tag, despite the apparent fact that search-algorithm can refer to exactly those problems which qualify as search-problems according to Kaveh's inferred usage.