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Twist Without Tangle: Flutter Suppression of Thin-Walled Wing-Engine Systems via Curvilinear Fiber Path Tailoring and Cross-Section Optimization

Categories Applications - Science and Engineering, Optimization of Simulated Systems, Optimization of Systems modeled by PDEs Tags , , ,

Flutter is traditionally delayed by modifying either a structure’s geometry or its stiffness distribution. Here, we show that allowing both to evolve simultaneously can unlock a fundamentally different route to aeroelastic stability. We concurrently optimize the cross-sectional geometry and fiber paths of a composite thin-walled wing–engine system to maximize flutter onset. The wing structure is … Read more

Scenario Tradeoffs in Uncertain Multiobjective Optimization

Categories Multi-Criteria Optimization, Robust Optimization Tags , , ,

Realistic decision problems are inherently multiobjective and uncertain. To manage both of these complexities, robust multiobjective optimization strives to aid the decision maker in finding a decision which is Pareto efficient and is hedged against the worst-case scenario. In this paper, we present a robustness approach which is grounded in the decision maker’s preferences by … Read more

Nonlinear optimization over trees with binary coupling decisions

Categories (Mixed) Integer Nonlinear Programming, Dynamic Programming, Optimization in Data Science

Mixed integer nonlinear programs with binary coupling decisions naturally model selective coordination tasks where a fixed penalty is incurred whenever adjacent continuous variables differ. A prominent example is the classical Potts model, which is widely used in statistical inference. However, exact solvability remains theoretically challenging since the problem is NP hard on general graphs, and … Read more

Solving Quasi-Variational Inequalities Using the Progressive Decoupling of Linkages

Categories Complementarity and Variational Inequalities, Convex Optimization, Game Theory Tags

Inspired by the progressive decoupling of linkages methodology for optimization and variational inequalities, we propose an algorithm for solving quasi-variational inequalities as a sequence of variational inequalities. Our method is shown to converge locally under some regularity conditions and globally when such conditions hold throughout the entire domain. Separately, under other type of assumptions, global … Read more

Enclosures and Local Lower and Upper Bound Sets in Multiobjective Optimization

Categories Multi-Criteria Optimization Tags , , , , ,

One goal of multiobjective optimization is to approximate the nondominated set in the image space. One widely used approximation concept is that of enclosures. These are unions of closed boxes that cover the nondominated set. The bounds of these boxes form the lower and upper bound sets of the enclosure. The quality of an enclosure … Read more

Convexification of mixed-integer quadratic optimization via decision diagrams

Categories (Mixed) Integer Nonlinear Programming, Dynamic Programming Tags , ,

We study mixed-integer quadratic optimization (MIQO) problems with indicator variables. We propose a unified framework, based on decision diagrams, that serves both to solve the associated optimization problems and to construct ideal conic quadratic extended formulations of the closure of the convex hull of the underlying mixed-integer set. The construction applies to arbitrary quadratics and … Read more

A Decision-Support Framework for Structuring and Reducing Large Multi-Objective Solution Sets via Clustering: An Application to Proton Therapy

Categories (Mixed) Integer Linear Programming, Biomedical Applications, Multi-Criteria Optimization Tags , , , , , , , , , , ,

This paper proposes a four-stage decision-support framework for structuring and reducing large multi-objective solution sets into compact and interpretable collections of representative alternatives. The methodology combines: (Phase 1) systematic solution generation through extended goal programming and structured preference exploration; (Phase 2) robustness-aware enrichment and profiling under weight sensitivity analysis; (Phase 3) filtering and dominance-based reduction … Read more

On the Absence of Identifiable Manifolds in Finite-Max Composite Optimization

Categories Nonlinear Optimization, Nonsmooth Optimization, Other Topics Tags , ,

In nonsmooth optimization, identifiable sets describe the local region eventually reached by sequences converging to a prescribed critical point. When such a set is a \(C^2\) manifold on which the objective restricts to a \(C^2\) function, it is called an identifiable manifold. Their appeal lies in what they enable: many first-order methods identify these manifolds … Read more

Online Performative Decision Making with Latent Distribution States

Categories Other Topics

Many operational decisions reshape the populations they act on: routing policies alter traffic, care interventions affect health outcomes, and public programs change participation. We study online control of such decision-dependent populations when the primitive state is a distribution, actions determine both current reward and the next distribution, and the reward and transition laws are unknown. … Read more

DD-suite: A cross-platform package to build Decision Diagrams for optimization purposes

Categories Dynamic Programming, Optimization Software and Modeling Systems, Optimization Software Design Principles Tags , , , ,

Decision diagrams (DDs) have become a powerful tool for discrete optimization, supporting a wide range of algorithms that span cut-generation procedures, decomposition methods, and specialized branch-and-bound searches. Despite this growth, their adoption remains limited, partly because most existing DD code is tailored to a specific algorithm or application and is therefore hard to reuse. We … Read more