Duality in disjunctive programming via vector optimization

摘要: In this paper, we develop a new duality theory for families of linear programs with an emphasis on disjunctive optimization by proposing `vector' problem as dual problem. We establish that the well-known relations between primal and problems hold in context. show our method generalizes results Borwein programs, Balas Patkar Stancu-Minasian fractional programs. Moreover, can derive some integer where denominator is not assumed (as usual) to be greater than zero each feasible point.