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A benchmark generator for scenario-based discrete optimization
Multi-objective evolutionary algorithms (MOEAs) are a practical tool to solve non-linear problems with multiple objective functions. However, when...
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Algorithm Unions for Solving Discrete Optimization Problems
This paper considers algorithm unions (portfolios and teams) of optimization algorithms, their properties, and their impact on the acceleration of...
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Combining discrete and continuous information for multi-criteria optimization problems
In multi-criteria optimization problems that originate from real-world decision making tasks, we often find the following structure: There is an...
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Error Bounds for Discrete-Continuous Free Flight Trajectory Optimization
Two-stage methods addressing continuous shortest path problems start local minimization from discrete shortest paths in a spatial graph. The...
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Dual optimization approach to set invariance conditions for discrete-time dynamic systems
Positively invariant set is a key concept in dynamic systems. Positive invariance condition of convex set for discrete-time dynamic systems is...
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Suppressing Exogenous Disturbances in a Discrete-Time Control System As an Optimization Problem
AbstractThis paper proposes a novel approach to suppressing bounded exogenous disturbances in a linear discrete-time control system by a static...
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Learning to sample initial solution for solving 0–1 discrete optimization problem by local search
Local search methods are convenient alternatives for solving discrete optimization problems (DOPs). These easy-to-implement methods are able to find...
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A novel discrete adjoint-based level set topology optimization method in B-spline space
This paper presents a novel computational scheme for sensitivity analysis of the velocity field in the level set method using the discrete adjoint...
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Analysis of the weighted Tchebycheff weight set decomposition for multiobjective discrete optimization problems
Scalarization is a common technique to transform a multiobjective optimization problem into a scalar-valued optimization problem. This article deals...
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Semiglobal exponential stability of the discrete-time Arrow-Hurwicz-Uzawa primal-dual algorithm for constrained optimization
We consider the discrete-time Arrow-Hurwicz-Uzawa primal-dual algorithm, also known as the first-order Lagrangian method, for constrained...
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A note on the implications of approximate submodularity in discrete optimization
Submodularity is a key property in discrete optimization. Submodularity has been widely used for analyzing the greedy algorithm to give performance...
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Semi-discrete Optimization Through Semi-discrete Optimal Transport: A Framework for Neural Architecture Search
In this paper, we introduce a theoretical framework for semi-discrete optimization using ideas from optimal transport. Our primary motivation is in...
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Accelerated Optimization on Riemannian Manifolds via Discrete Constrained Variational Integrators
A variational formulation for accelerated optimization on normed vector spaces was recently introduced in Wibisono et al. (PNAS 113:E7351–E7358,...
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Flexible job-shop scheduling with limited flexible workers using an improved multiobjective discrete teaching–learning based optimization algorithm
Flexible job-shop scheduling problem with worker flexibility (FJSPW) has been frequently investigated during the last decade. Many real-world...
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The Weighted p-Norm Weight Set Decomposition for Multiobjective Discrete Optimization Problems
Many solution algorithms for multiobjective optimization problems are based on scalarization methods that transform the multiobjective problem into a...
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Inverse Optimization Problem for a Class of Discrete 2D Systems
AbstractConditions for the solvability of the inverse optimization problem for one class of discrete 2D systems are established. An explicit...
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Discrete Optimization of Robin Transmission Conditions for Anisotropic Diffusion with Discrete Duality Finite Volume Methods
Discrete Duality Finite Volume (DDFV) methods are very well suited to discretize anisotropic diffusion problems, even on meshes with low mesh...
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Discrete Dynamical System Approaches for Boolean Polynomial Optimization
In this article, we discuss the numerical solution of Boolean polynomial programs by algorithms borrowing from numerical methods for differential...
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Discrete multi-load truss sizing optimization: model analysis and computational experiments
Discrete multi-load truss sizing optimization (MTSO) problems are challenging to solve due to their combinatorial, nonlinear, and non-convex nature....
