Solving a Network Flow Decision Problem with Sampled Nonlinearities

摘要: The tensor product B-spline is applied in global solution of approximated mixed integer nonlinear programs, exploiting the special structure to create convex relaxations a Branch-and-Bound framework. main application considered short-term oil production optimization problem, were one fundamental challenges replace simulator models with more conveniently manipulated approximations. Representing network analytically allows for decoupling large into smaller, manageable components that can be replaced individually. suggested method real case and classic academic problem. results presented are both theoretical practical interest indicate has potential worthy further investigation.