This paper considers fluid analogues for the standard linear programming problem and for a separable nonlinear programming problem. In the former case the usual duality results are demonstrated using ...

This paper, which is presented in two parts, is a contribution to the theory of fractional programming, i.e. maximization of quotients subject to constraints. In Part I a duality theory for linear and ...

"Using our previous results, we demonstrated that the duality operators can be realized as unitary linear-depth quantum circuits when supplementing the Hilbert space with ancillary degrees of ...