Month: April 2022

Solution Strategies for Integrated Distribution, Production, and Routing Problems Arising in Modular Manufacturing

  • R. Cory Allen
  • Styliani Avraamidou
  • Sergiy Butenko
  • Efstratios N. Pistikopoulos
    • Categories Applications - OR and Management Sciences Tags , , ,

    Recently, there has been a paradigm shift by certain energy and chemical companies towards modular manufacturing, whereby transportable modular production units can be relocated between production facilities to meet the spatial and temporal changes in the availabilities, demands, and prices of the underlying commodities. We refer to the optimal distribution, production, and storage of commodities, … Read more

    Convergence Results for Primal-Dual Algorithms in the Presence of Adjoint Mismatch

  • Andres Contreras
  • Émilie Chouzenoux
  • Jean-Christophe Pesquet
  • Marion Savanier
    • Categories Convex Optimization, Nonsmooth Optimization Tags , , , , , , ,

    Most optimization problems arising in imaging science involve high-dimensional linear operators and their adjoints. In the implementations of these operators, approximations may be introduced for various practical considerations (e.g., memory limitation, computational cost, convergence speed), leading to an adjoint mismatch. This occurs for the X-ray tomographic inverse problems found in Computed Tomography (CT), where the … Read more

    Riemannian Interior Point Methods for Constrained Optimization on Manifolds

  • Zhijian Lai
  • Akiko Yoshise
    • Categories Linear, Cone and Semidefinite Programming, Nonlinear Optimization Tags , , , , ,

    We extend the classical primal-dual interior point method from the Euclidean setting to the Riemannian one. Our method, named the Riemannian interior point method (RIPM), is for solving Riemannian  constrained optimization problems. We establish its local superlinear and quadratic convergence  under the standard assumptions. Moreover, we show its global convergence when it is combined with … Read more

    Distributionally Robust Chance Constrained $p$-Hub Center Problem

  • Yue Zhao
  • Zhi Chen
  • Zhenzhen Zhang
    • Categories Robust Optimization, Transportation Tags , , , ,

    The $p$-hub center problem is a fundamental model for the strategic design of hub location. It aims at constructing $p$ fully interconnected hubs and links from nodes to hubs so that the longest path between any two nodes is minimized. Existing literature on the $p$-hub center problem under uncertainty often assumes a joint distribution of … Read more

    A new sufficient condition for non-convex sparse recovery via weighted $\ell_r\!-\!\ell_1$ minimization

  • Jianwen Huang
  • Feng Zhang
    • Categories Data-Mining, Nonsmooth Optimization Tags , , ,

    In this letter, we discuss the reconstruction of sparse signals from undersampled data, which belongs to the core content of compressed sensing. A new sufficient condition in terms of the restricted isometry constant (RIC) and restricted orthogonality constant (ROC) is first established for the performance guarantee of recently proposed non-convex weighted $\ell_r-\ell_1$ minimization in recovering … Read more

    CliSAT: a SAT-based exact algorithm for hard maximum clique problems

  • Pablo San Segundo
  • Fabio Furini
  • David Alvarez
  • Panos M. Pardalos
    • Categories Combinatorial Optimization, Game Theory Tags , , ,

    Given a graph, the maximum clique problem (MCP) asks for determining a complete subgraph with the largest possible number of vertices. We propose a new exact algorithm, called CliSAT, to solve the MCP to proven optimality. This problem is of fundamental importance in graph theory and combinatorial optimization due to its practical relevance for a … Read more

    A decomposition method for lasso problems with zero-sum constraint

  • Andrea Cristofari
    • Categories Nonlinear Optimization Tags , , , ,

    In this paper, we consider lasso problems with zero-sum constraint, commonly required for the analysis of compositional data in high-dimensional spaces. A novel algorithm is proposed to solve these problems, combining a tailored active-set technique, to identify the zero variables in the optimal solution, with a 2-coordinate descent scheme. At every iteration, the algorithm chooses … Read more

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

  • Giovanna Castelloa Andrade
  • Sandra A. Santos
    • 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

    Advancements in the computation of enclosures for multi-objective optimization problems

  • Gabriele Eichfelder
  • Leo Warnow
    • Categories (Mixed) Integer Nonlinear Programming, Multi-Criteria Optimization, Nonlinear Optimization Tags , , , ,

    A central goal for multi-objective optimization problems is to compute their nondominated sets. In most cases these sets consist of infinitely many points and it is not a practical approach to compute them exactly. One solution to overcome this problem is to compute an enclosure, a special kind of coverage, of the nondominated set. One … Read more

    Distributionally Robust Disaster Relief Planning under the Wasserstein Set

  • Mohamed El Tonbari
  • George L. Nemhauser
  • Alejandro Toriello
    • Categories Applications - OR and Management Sciences, Robust Optimization Tags , ,

    We study a two-stage natural disaster management problem modeled as a stochastic program, where the first stage consists of a facility location problem, deciding where to open facilities and pre-allocate resources such as medical and food kits, and the second stage is a fixed-charge transportation problem, routing resources to affected areas after observing a disaster. … Read more