The invention is a framework and a matching and assignment engine for connecting seekers with providers. It is meant for complex searches like job search, relationship search (dating), real estate search, car search etc. The system works by collecting attributes and weighted preferences from seekers and providers. The matching engine determines a match score based on match between the attributes and preferences of both the seeker and provider. The assignment engine then looks at the match scores and the supply and demand and assigns seekers to providers in a way that minimizes mismatch. The assignments change dynamically when supply and demand changes because of some event (a seeker or provider finds a match, a new seeker or provider becomes available, etc.). It is a web based software application.