Assignment problems: A golden anniversary survey

Having reached the 50th (golden) anniversary of the publication of Kuhn’s seminal article on the solution of the classic assignment problem, it seems useful to take a look at the variety of models to which it has given birth. This paper is a limited survey of what appear to be the most useful of the variations of the assignment problem that have appeared in the literature over the past 50 years. The intention here is not to identify every such paper (of which there have been hundreds) nor to identify the best solution procedure for each variation. Rather, the intention is to identify what these variations are and what they are called so as to make it easier for a researcher trying to develop some variation of the assignment problem for a particular application to find the relevant literature.