Multidisciplinary Design Optimization

Rooting Out Self-Intersection: An Algebraic Shape-Optimization Barrier

Categories Applications - Science and Engineering, Multidisciplinary Design Optimization, Nonlinear Optimization Tags , , ,

Self-intersection is a fundamental feasibility constraint in shape optimization: a self-crossing boundary leaves its interior, normal field, and finite-element mesh ill-defined, yet most existing barriers rely on heuristic geometric-proximity measures rather than certifying self-intersection directly. We propose a self-intersection barrier grounded in algebraic detection. We derived two bivariate polynomials from a curve’s Fourier coefficients whose … Read more

An optimal orbit design for LISA

Categories Constrained Nonlinear Optimization, Multidisciplinary Design Optimization, Optimization of Systems modeled by PDEs Tags , ,

The ESA/NASA joint LISA (laser interferometer space antenna) mission is designed to detect gravitational waves to perform gravitational astronomy. A key mission requirement is the maintenance of a three-spacecraft constellation in a near-equilateral triangular configuration with a prescribed inter-spacecraft separation. Existing approaches have addressed this problem using simplified dynamical models to enhance tractability; however, the … Read more

A Framework for Explainable Knowledge Generation with Expensive Sample Evaluations

Categories Global Optimization, Multidisciplinary Design Optimization, Optimization of Simulated Systems Tags , , ,

Real world problems often require complex modeling and computation efforts to be effectively addressed. Relying solely on data-driven approaches without integrating physics-based models can result in limited predictive capabilities. Even advanced techniques such as deep learning may be impractical for decision-makers due to the lack of data and challenges in justifying and explaining results. In … Read more

A level-set-based topology optimization strategy using radial basis functions and a Hilbertian velocity extension

Categories Mechanical Engineering, Multidisciplinary Design Optimization, Optimization of Systems modeled by PDEs Tags , , , ,

This work addresses the structural compliance minimization problem through a level-set-based strategy that rests upon radial basis functions with compact support combined with Hilbertian velocity extensions. A consistent augmented Lagrangian scheme is adopted to handle the volume constraint. The linear elasticity model and the variational problem associated with the computation of the velocity field are … Read more

The Strip Method for Shape Derivatives

Categories Infinite Dimensional Optimization, Multidisciplinary Design Optimization, Optimization of Systems modeled by PDEs Tags , , , ,

A major challenge in shape optimization is the coupling of finite element method (FEM) codes in a way that facilitates efficient computation of shape derivatives. This is particularly difficult with multiphysics problems involving legacy codes, where the costs of implementing and maintaining shape derivative capabilities are prohibitive. The volume and boundary methods are two approaches … Read more

Power to Air-transportation via Hydrogen

Categories Airline Optimization, Energy, Multidisciplinary Design Optimization Tags , , ,

This paper proposes a framework to analyze the concept of power to hydrogen (P2H) for fueling the next generation of aircraft. The impact of introducing new P2H loads is investigated from different aspects namely, cost, carbon emission, and wind curtailment. The newly introduced electric load is calculated based on the idea of replacing the busiest … Read more

Economic Interpretation of Demand Curves in Multi-product Electricity Markets

Categories Finance and Economics, Multidisciplinary Design Optimization Tags , , , , , , , ,

In the absence of direct demand-side bids for certain reliability products in the wholesale electricity markets, Independent System Operators (ISOs) traditionally use fixed demand requirements with penalty factors to clear the market. This approach does not allow proper tradeoffs between reliability and cost due to the inelasticity of the fixed requirements. Therefore, ISOs have been … Read more

Query Batching Optimization in Database Systems

Categories (Mixed) Integer Linear Programming, Approximation Algorithms, Multidisciplinary Design Optimization

Techniques based on sharing data and computation among queries have been an active research topic in database systems. While work in this area developed algorithms and systems that are shown to be effective, there is a lack of rigorous modeling and theoretical study for query processing and optimization. Query batching in database systems has strong … Read more

An Integer Programming Formulation of the Key Management Problem in Wireless Sensor Networks

Categories 0-1 Programming, Multidisciplinary Design Optimization, Telecommunications Tags , , , ,

With the advent of modern communications systems, much attention has been put on developing methods for securely transferring information between constituents of wireless sensor networks. To this effect, we introduce a mathematical programming formulation for the key management problem, which broadly serves as a mechanism for encrypting communications. In particular, an integer programming model of … Read more