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  1. A novel parallel combinatorial algorithm for multiparametric programming

    Multiparametric programming and control has received a lot of attention in the past twenty years with significant advances reported in the open...

    Dustin Kenefake, Efstratios N. Pistikopolous in Optimization and Engineering
    Article 04 October 2023
  2. A parallel hub-and-spoke system for large-scale scenario-based optimization under uncertainty

    Practical solution of stochastic programming problems generally requires the use of parallel computing resources. Here, we describe the open source...

    Bernard Knueven, David Mildebrath, ... David L. Woodruff in Mathematical Programming Computation
    Article 14 August 2023
  3. A parallel splitting ALM-based algorithm for separable convex programming

    The augmented Lagrangian method (ALM) provides a benchmark for solving the canonical convex optimization problem with linear constraints. The direct...

    Shengjie Xu, Bingsheng He in Computational Optimization and Applications
    Article 25 September 2021
  4. Advanced Model of Parallel Sorting Algorithm with Ranking

    The model of parallel sorting of a number array with ranking based on the simultaneous application of high-speed decrement/increment operations...

    T. B. Martyniuk, B. I. Krukivskyi in Cybernetics and Systems Analysis
    Article 01 January 2024
  5. Exponential-time algorithms for parallel machine scheduling problems

    In this paper we consider the problem of scheduling a set of jobs on unrelated parallel machines in the presence of job release dates and deadlines,...

    Olivier Ploton, Vincent T’kindt in Journal of Combinatorial Optimization
    Article 03 September 2022
  6. Brain Principles Programming

    Abstract

    The monograph “Strong Artificial Intelligence. On the Approaches to Superintelligence,” referenced by this paper, provides a...

    E. Vityaev, A. Kolonin, ... A. Molchanov in Doklady Mathematics
    Article 01 December 2022
  7. An Affine Scaling Algorithm for Biobjective Linear Programming

    Given a biobjective linear programming problem, we develop an affine scaling algorithm with min-max direction and demonstrate its convergence for an...

    Marco Antonio Figueiredo Menezes, Nelson Maculan in Journal of the Operations Research Society of China
    Article 21 June 2023
  8. MADAM: a parallel exact solver for max-cut based on semidefinite programming and ADMM

    We present MADAM , a parallel semidefinite-based exact solver for Max-Cut, a problem of finding the cut with the maximum weight in a given graph. The...

    Timotej Hrga, Janez Povh in Computational Optimization and Applications
    Article Open access 26 August 2021
  9. On proximal augmented Lagrangian based decomposition methods for dual block-angular convex composite programming problems

    We design inexact proximal augmented Lagrangian based decomposition methods for convex composite programming problems with dual block-angular...

    Kuang-Yu Ding, **n-Yee Lam, Kim-Chuan Toh in Computational Optimization and Applications
    Article 23 May 2023
  10. Generation of mathematical programming representations for discrete event simulation models of timed petri nets

    This work proposes a mathematical programming (MP) representation of discrete event simulation of timed Petri nets (TPN). Currently, mathematical...

    Mengyi Zhang, Arianna Alfieri, Andrea Matta in Discrete Event Dynamic Systems
    Article Open access 06 December 2023
  11. Extensions to generalized disjunctive programming: hierarchical structures and first-order logic

    Optimization problems with discrete–continuous decisions are traditionally modeled in algebraic form via (non)linear mixed-integer programming. A...

    Hector D. Perez, Ignacio E. Grossmann in Optimization and Engineering
    Article Open access 20 December 2023
  12. Interval constraint programming for globally solving catalog-based categorical optimization

    In this article, we propose an interval constraint programming method for globally solving catalog-based categorical optimization problems. It...

    Charlie Vanaret in Journal of Global Optimization
    Article 22 January 2024
  13. Open issues and recent advances in DC programming and DCA

    DC (difference of convex functions) programming and DC algorithm (DCA) are powerful tools for nonsmooth nonconvex optimization. This field was...

    Hoai An Le Thi, Tao Pham Dinh in Journal of Global Optimization
    Article 15 February 2023
  14. A parallel greedy approach enhanced by genetic algorithm for the stochastic rig routing problem

    Scheduling drilling activities for oil and gas exploration involves solving a problem of optimal routing of a fleet of vehicles that represent...

    Pavel Borisovsky in Optimization Letters
    Article 15 February 2023
  15. Optimization of film-type optical fiber wiring design using mixed-integer programming problem

    Optical fibers are among the most widely used tools in information communication today, and they have had an active development trajectory. Film...

    Hiroki Ishikura, Takashi Wakamatsu, ... Katsuki Fujisawa in Japan Journal of Industrial and Applied Mathematics
    Article 29 December 2023
  16. Data-Driven Distributionally Robust Risk-Averse Two-Stage Stochastic Linear Programming over Wasserstein Ball

    In this paper, we consider a data-driven distributionally robust two-stage stochastic linear optimization problem over 1-Wasserstein ball centered at...

    Yining Gu, Yicheng Huang, Yanjun Wang in Journal of Optimization Theory and Applications
    Article 06 December 2023
  17. Bi-objective multistage stochastic linear programming

    We propose an algorithm for solving a class of bi-objective multistage stochastic linear programs. We show that the cost-to-go functions are saddle...

    O. Dowson, D. P. Morton, A. Downward in Mathematical Programming
    Article 04 August 2022
  18. Dissipativity in Infinite Horizon Optimal Control and Dynamic Programming

    In this paper we extend dynamic programming techniques to the study of discrete-time infinite horizon optimal control problems on compact control...

    David Angeli, Lars Grüne in Applied Mathematics & Optimization
    Article Open access 23 February 2024
  19. A difference-of-convex programming approach with parallel branch-and-bound for sentence compression via a hybrid extractive model

    Sentence compression is an important problem in natural language processing with wide applications in text summarization, search engine and human–AI...

    Yi-Shuai Niu, Yu You, ... Songquan Yao in Optimization Letters
    Article 07 January 2021
  20. OPTIMAL CONTROL OF AN SIR EPIDEMIC MODEL BASED ON DYNAMIC PROGRAMMING APPROACH

    This paper investigates optimal control of a susceptible-infected-recovered (SIR) epidemic model using the dynamic programming approach. In fact, our...

    Touffik Bouremani, Yacine Slimani in Journal of Mathematical Sciences
    Article 02 May 2024
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