Optimization Software and Modeling Systems

Using an Analytical Computational-Geometry Library to Model Nonoverlap and Boundary-Distance Constraints and their Application to Packing Poly-Bézier Shapes

  • Paul Morton
    • Categories Applications - Science and Engineering, Bound-constrained Optimization, Optimization Software and Modeling Systems Tags , , , , , , , , , , ,

    In this paper we will show how to model nonoverlap as well as uniform and nonuniform boundary-distance constraints between poly-Bézier shapes using an analytical computational-geometry library. We then use this capability to develop, implement and analyze analytical-optimization solutions to minimum-area rectangular-boundary packing-problems as well as minimum-area one- and two-dimensional puzzle-piece packing-problems. In the process, we … Read more

    The SCIP Optimization Suite 8.0

  • Ksenia Bestuzheva
  • Mathieu Besançon
  • Wei-Kun Chen
  • Antonia Chmiela
  • Tim Donkiewicz
  • Jasper van Doornmalen
  • Leon Eifler
  • Oliver Gaul
  • Gerald Gamrath
  • Ambros Gleixner
  • Leona Gottwald
  • Christoph Graczyk
  • Katrin Halbig
  • Alexander Hoen
  • Christopher Hojny
  • Rolf van der Hulst
  • Thorsten Koch
  • Marco E. Lübbecke
  • Stephen J. Maher
  • Frederic Matter
  • Erik Mühmer
  • Benjamin Müller
  • Marc E. Pfetsch
  • Daniel Rehfeldt
  • Steffan Schlein
  • Franziska Schlösser
  • Felipe Serrano
  • Yuji Shinano
  • Boro Sofranac
  • Mark Turner
  • Stefan Vigerske
  • Fabian Wegscheider
  • Philipp Wellner
  • Dieter Weninger
  • Jakob Witzig
    • Categories Branch and Cut Algorithms, Integer Programming, Optimization Software and Modeling Systems Tags , , , , , , , , ,

    The SCIP Optimization Suite provides a collection of software packages for mathematical optimization centered around the constraint integer programming framework SCIP. This paper discusses enhancements and extensions contained in version 8.0 of the SCIP Optimization Suite. Major updates in SCIP include improvements in symmetry handling and decomposition algorithms, new cutting planes, a new plugin type … Read more

    OPM, a collection of Optimization Problems in Matlab

  • Serge Gratton
  • Philippe L. Toint
    • Categories Bound-constrained Optimization, Optimization Software Benchmark, Unconstrained Optimization Tags , , ,

    OPM is a small collection of CUTEst unconstrained and bound-constrained nonlinear optimization problems, which can be used in Matlab for testing optimization algorithms directly (i.e. without installing additional software). Article Download View OPM, a collection of Optimization Problems in Matlab

    Scalable Parallel Nonlinear Optimization with PyNumero and Parapint

  • Jose Rodriguez
  • Robert Parker
  • Carl D. Laird
  • Bethany Nicholson
  • John D. Siirola
  • Michael Lee Bynum
    • Categories Nonlinear Optimization, Parallel Algorithms Tags ,

    We describe PyNumero, an open-source, object-oriented programming framework in Python that supports rapid development of performant parallel algorithms for structured nonlinear programming problems (NLP’s) using the Message Passing Interface (MPI). PyNumero provides three fundamental building blocks for developing NLP algorithms: a fast interface for calculating first and second derivatives with the AMPL Solver Library (ASL), … Read more

    EETTlib – Energy-Efficient Train Timetabling Library

  • Andreas Bärmann
  • Patrick Gemander
  • Lukas Hager
  • Frederik Nöth
  • Oskar Schneider
    • Categories (Mixed) Integer Linear Programming, Optimization Software Benchmark, Scheduling Tags , , , , ,

    We introduce EETTlib, an instance library for the Energy-Efficient Train Timetabling problem. The task in this problem is to adjust a given timetable draft such that several key indicators relating to the energy consumption of the resulting railway traffic are minimized. These include peak power consumption, total energy consumption, loss in recuperation energy, fluctuation in … Read more

    RSOME in Python: An Open-Source Package for Robust Stochastic Optimization Made Easy

  • Peng Xiong
  • Zhi Chen
    • Categories Modeling Languages and Systems, Robust Optimization Tags , , ,

    We develop a Python package called RSOME for modeling a wide spectrum of robust and distributionally robust optimization problems. RSOME serves as a modeling platform for formulating various optimization problems subject to distributional ambiguity in a highly readable and mathematically intuitive manner. Compared with the MATLAB version, RSOME in Python is more versatile and well … Read more

    MatQapNB User Guide: A branch-and-bound program for QAPs in Matlab with the Newton-Bracketing method

  • Koichi Fujii
  • Naoki Ito
  • Sunyoung Kim
  • Masakazu Kojima
  • Hans D Mittelmann
  • Kim-Chuan Toh
  • Yuji Shinano
    • Categories Global Optimization Applications, Optimization Software Design Principles, Quadratic Programming Tags , , ,

    MatQapNB is a MATLAB toolbox that implements a parallel branch-and-bound method using NewtBracket (the Newton bracketing method [4]) for its lower bounding procedure. It can solve small to medium scale Quadratic Assignment Problem (QAP) instances with dimension up to 30. MatQapNB was used in the numerical experiments on QAPs in the recent article “Solving challenging … Read more

    Parallel Strategies for Direct Multisearch

  • C. P. Brás
  • Ana Luisa Custódio
  • S. Tavares
  • V. Duarte
  • P. Medeiros
    • Categories Bound-constrained Optimization, Multi-Criteria Optimization, Parallel Algorithms

    Direct Multisearch (DMS) is a Derivative-free Optimization class of algorithms suited for computing approximations to the complete Pareto front of a given Multiobjective Optimization problem. It has a well-supported convergence analysis and simple implementations present a good numerical performance, both in academic test sets and in real applications. Recently, this numerical performance was improved with … Read more

    NOMAD version 4: Nonlinear optimization with the MADS algorithm

  • Charles Audet
  • Sébastien Le Digabel
  • Viviane Rochon Montplaisir
  • Christophe Tribes
    • Categories Nonlinear Optimization, Optimization Software and Modeling Systems Tags , , ,

    NOMAD is software for optimizing blackbox problems. In continuous development since 2001, it constantly evolved with the integration of new algorithmic features published in scientific publications. These features are motivated by real applications encountered by industrial partners. The latest major release of NOMAD, version 3, dates from 2008. Minor releases are produced as new features … Read more

    Maintenance Optimization of Wagons Mix

  • Carmo C. Melo
  • L.M. Vianna
    • Categories Modeling Languages and Systems, Production and Logistics, Transportation Tags , , , ,

    This work proposes to create a tool for support for cost reduction in wagon maintenance through the distribution of the annual plan in workshops. The distribution depends on the type of wagon, the scope of the maintenance service that each workshop serves, and the capacity that is supported by the workshops. This plan is a … Read more