Global Optimization of Mixed-Integer ODE Constrained Network Problems Using the Example of Stationary Gas Transport
DOI10.1137/17M1152668zbMath1427.90231OpenAlexW2962396350MaRDI QIDQ5203796
Oliver Habeck, Marc E. Pfetsch, Stefan Ulbrich
Publication date: 9 December 2019
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/17m1152668
Programming involving graphs or networks (90C35) Numerical mathematical programming methods (65K05) Applications of mathematical programming (90C90) Mixed integer programming (90C11) Polyhedral combinatorics, branch-and-bound, branch-and-cut (90C57) Nonconvex programming, global optimization (90C26) Deterministic network models in operations research (90B10) Existence theories for optimal control problems involving ordinary differential equations (49J15)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Relaxation methods for mixed-integer optimal control of partial differential equations
- Improved relaxations for the parametric solutions of ODEs using differential inequalities
- Discretize-then-relax approach for convex/concave relaxations of the solutions of parametric ODEs
- Combinatorial integral approximation
- Mixed integer nonlinear programming. Selected papers based on the presentations at the IMA workshop mixed-integer nonlinear optimization: Algorithmic advances and applications, Minneapolis, MN, USA, November 17--21, 2008
- Generalized McCormick relaxations
- Combinatorial optimal control of semilinear elliptic PDEs
- SCIP: solving constraint integer programs
- Proof of convergence for a global optimization algorithm for problems with ordinary differential equations
- A review of recent advances in global optimization
- Direct methods with maximal lower bound for mixed-integer optimal control problems
- MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems
- Validated solutions of initial value problems for ordinary differential equations
- A rigorous global optimization algorithm for problems with ordinary differential equations
- Convex and concave relaxations for the parametric solutions of semi-explicit index-one differential-algebraic equations
- A decomposition method for MINLPs with Lipschitz continuous nonlinearities
- Unified framework for the propagation of continuous-time enclosures for parametric nonlinear ODEs
- Global optimization with nonlinear ordinary differential equations
- Validated solutions of initial value problems for parametric ODEs
- Nonlinear convex and concave relaxations for the solutions of parametric ODEs
- Evaluating Gas Network Capacities
- Validation of nominations in gas network optimization: models, methods, and solutions
- The Lagrangian relaxation for the combinatorial integral approximation problem
- Global optimal control with the direct multiple shooting method
- Optimization with PDE Constraints
- Nonlinear Integer Programming
- Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems
- Analysis of Operating Modes of Complex Compressor Stations
- Numerical solution of optimal control problems with explicit and implicit switches
- Challenges in Optimal Control Problems for Gas and Fluid Flow in Networks of Pipes and Canals: From Modeling to Industrial Applications
- Towards simulation based mixed‐integer optimization with differential equations
- On Taylor Model Based Integration of ODEs
- Bounding the Solutions of Parameter Dependent Nonlinear Ordinary Differential Equations
- Global optimization based on local searches
- Deterministic global optimization in nonlinear optimal control problems
