Talk:Linear bottleneck assignment problem

Merge proposal

I propose merging this page into Assignment problem. This page has existed since 2010, but it is a stub and seemingly, virtually all of the sections on this page are currently also found on the Assignment problem page. I do not think a merge would not cause any article-size or weighting problems. A mentally disabled mathematician (talk) 12:28, 12 March 2025 (UTC)

• Oppose merge. Funny you should talk about weighting problems. The weights are what make these two problems different. The assignment problem, when named without other qualification, always means the problem where one maximizes the total weight, the sum of the weights of all chosen pairs. The bottleneck assignment problem, on the other hand, uses a different optimization criterion of minimizing the maximum of the weights of all chosen pairs. Because it is a different problem it has different optimization criteria. I think that trying to talk about one problem with one formulation, on an article about a different problem with a different formulation, would overload the combined article and confuse readers trying to look up either problem. Neither article is actually very stubby and the bottleneck article could be expanded from many published sources, so I don't see what benefit would be obtained in exchange for this increased confusion. —David Eppstein (talk) 07:30, 20 March 2025 (UTC)