A Modeling Language for Mathematical Programming
From MaRDI portal
Publication:65612
DOI10.1287/mnsc.36.5.519zbMath0701.90062OpenAlexW4232598359WikidataQ56455512 ScholiaQ56455512MaRDI QIDQ65612
David M. Gay, Brian W. Kernighan, Robert Fourer, Robert Fourer, Brian Kernighan, David M. Gay
Publication date: May 1990
Published in: Management Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1287/mnsc.36.5.519
Large-scale problems in mathematical programming (90C06) Formal languages and automata (68Q45) General topics in the theory of software (68N01)
Related Items
Solving trajectory optimization problems via nonlinear programming: the brachistochrone case study, Power efficient uplink scheduling in SC-FDMA: benchmarking by column generation, EAGO.jl: easy advanced global optimization in Julia, A mixed logarithmic barrier-augmented Lagrangian method for nonlinear optimization, A pathsearch damped Newton method for computing general equilibria, Inversion of convection-diffusion equation with discrete sources, Hierarchical sets in mathematical programming modeling languages, An Algorithmic Framework for MINLP with Separable Non-Convexity, Improved constraint consensus methods for seeking feasibility in nonlinear programs, Iterated local search for the vehicle routing problem with a private fleet and a common carrier, The AMPL Modeling Language: An Aid to Formulating and Solving Optimization Problems, Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread, Interior Point Methods Can Exploit Structure of Convex Piecewise Linear Functions with Application in Radiation Therapy, Matching-based preprocessing algorithms to the solution of saddle-point problems in large-scale nonconvex interior-point optimization, Optimized location of light sources to cover a rectangular region, PySP: modeling and solving stochastic programs in Python, A penalty-interior-point algorithm for nonlinear constrained optimization, Shape-preserving dynamic programming, Optimal control of cancer chemotherapy with delays and state constraints, Mixed integer nonlinear programming tools: an updated practical overview, Analysis and optimal control for free melt flow boundaries in laser cutting with distributed radiation, The supporting hyperplane optimization toolkit for convex MINLP, A multiphase <scp>DMOC</scp>‐based trajectory optimization method, Combination of optimal control approaches for aircraft conflict avoidance via velocity regulation, H2,α -norm optimal model reduction for optimal control problems subject to parabolic and hyperbolic evolution equations, MathOptInterface: A Data Structure for Mathematical Optimization Problems, Controllability of the one-dimensional fractional heat equation under positivity constraints, A robust approach for finding all well-separated solutions of sparse systems of nonlinear equations, Sparse network optimization for synchronization, Unnamed Item, Markov-Dubins interpolating curves, Convergence of a stabilized SQP method for equality constrained optimization, Combination of direct methods and homotopy in numerical optimal control: application to the optimization of chemotherapy in cancer, Optimizing radial basis functions by d.c. programming and its use in direct search for global derivative-free optimization, Optimal control and applications to aerospace: some results and challenges, Optimal Migration Planning of Telecommunication Equipment, Global convergence of the EM algorithm for unconstrained latent variable models with categorical indicators, Variable selection for multicategory SVM via adaptive sup-norm regularization, Approximation Properties and Tight Bounds for Constrained Mixed-Integer Optimal Control, Feasibility and Dominance Rules in the Electromagnetism-Like Algorithm for Constrained Global Optimization, Computational advances in polynomial optimization: RAPOSa, a freely available global solver, Optimal sensitivity based on IPOPT, Steady-State and Periodic Exponential Turnpike Property for Optimal Control Problems in Hilbert Spaces, Unnamed Item, Phase portrait control for 1D monostable and bistable reaction–diffusion equations, A note on solving MINLP's using formulation space search, Partial identification by extending subdistributions, Allee optimal control of a system in ecology, Nonnegative control of finite-dimensional linear systems, A particle swarm pattern search method for bound constrained global optimization, Case studies for a first-order robust nonlinear programming formulation, Complexity of Partially Separable Convexly Constrained Optimization with Non-Lipschitzian Singularities, Optimal control of the Lotka–Volterra system: turnpike property and numerical simulations, Second Order Sufficient Optimality Conditions for a Control Problem with Continuous and Bang-Bang Control Components: Riccati Approach, A Regularized Factorization-Free Method for Equality-Constrained Optimization, Modeling and Solving the Capacitated Vehicle Routing Problem on Trees, Global Optimization in Practice:State of the Art and Perspectives, Efficient formulations for pricing under attraction demand models, ANTIGONE: algorithms for coNTinuous/Integer global optimization of nonlinear equations, An exact primal-dual penalty method approach to warmstarting interior-point methods for linear programming, A stochastic programming model for asset liability management of a Finnish pension company, Financial scenario generation for stochastic multi-stage decision processes as facility location problems, Controllability under positivity constraints of semilinear heat equations, Optimization models for the single delay management problem in public transportation, The travelling salesman problem with neighbourhoods: MINLP solution, A manifold-based approach to sparse global constraint satisfaction problems, A structure-conveying modelling language for mathematical and stochastic programming, OSiL: An instance language for optimization, Self-adaptive support vector machines: modelling and experiments, High-order evaluation complexity for convexly-constrained optimization with non-Lipschitzian group sparsity terms, Unnamed Item, From Marriages to Coalitions: A Soft CSP Approach, The empirical behavior of sampling methods for stochastic programming, A near-optimal optimization algorithm for link assignment in wireless ad-hoc networks, Cruise itineraries optimal scheduling, Pace and motor control optimization for a runner, Solving equilibrium problems using extended mathematical programming, Minimal controllability time for the heat equation under unilateral state or control constraints, MIPLIB 2017: data-driven compilation of the 6th mixed-integer programming library, Hybridizing the electromagnetism-like algorithm with descent search for solving engineering design problems, Numerical aspects of large-time optimal control of Burgers equation, Adaptive, Limited-Memory BFGS Algorithms for Unconstrained Optimization, Design and dispatch optimization of a solid-oxide fuel cell assembly for unconventional oil and gas production, Optimizing micro-algae production in a raceway pond with variable depth, Assessing the potential of interior point barrier filter line search methods: nonmonotoneversusmonotone approach, Numerical study of augmented Lagrangian algorithms for constrained global optimization, Optimal design and dispatch of a hybrid microgrid system capturing battery fade, Applying software engineering techniques in the development and management of linear and integer programming applications, A twist on SLP algorithms for NLP and MINLP problems: an application to gas transmission networks, Operational decisions for multi-period industrial gas pipeline networks under uncertainty, The multi-depot \(k\)-traveling repairman problem, Collusive game solutions via optimization, MPEC Methods for Bilevel Optimization Problems, Optimal shape and location of sensors for parabolic equations with random initial data, A New Scalarization Technique and New Algorithms to Generate Pareto Fronts, Control of COVID-19 outbreak using an extended SEIR model, A Time-Indexed Generalized Vehicle Routing Model and Stabilized Column Generation for Military Aircraft Mission Planning, An optimal control strategy for antiretroviral treatment of HIV infection in presence of immunotherapy, Dynamic programming with Hermite approximation, A penalty approach to linear programs with many two-sided constraints, Modeling design and control problems involving neural network surrogates, A versatile optimization framework for sustainable post-disaster building reconstruction, Rotor imbalance suppression by optimal control, Necessary conditions for a class of optimal multiprocess with state constraints, Pricing and revenue management for bank home loans: a mathematical approach, The continuous quadrant penalty formulation of logical constraints, A simple but powerful simulated certainty equivalent approximation method for dynamic stochastic problems, A Global Optimization Approach for Multimarginal Optimal Transport Problems with Coulomb Cost, Quantum annealing to solve the unrelated parallel machine scheduling problem, Linear Programs with Conjunctive Database Queries, Optimization over the Pareto front of nonconvex multi-objective optimal control problems, Unnamed Item, JuMP: A Modeling Language for Mathematical Optimization, Optimal Mass Transport for Activities Location Problem, Optimal Control of Vaccination and Plasma Transfusion with Potential Usefulness for Covid-19, Strong linear programming relaxations for the orienteering problem, Minotaur: a mixed-integer nonlinear optimization toolkit, \texttt{pyomo.dae}: a modeling and automatic discretization framework for optimization with differential and algebraic equations, The fixed charge transportation problem: a strong formulation based on Lagrangian decomposition and column generation, Communication protocols for options and results in a distributed optimization environment, Optimal deployment of alternative fueling stations on transportation networks considering deviation paths, Computational approaches for mixed integer optimal control problems with indicator constraints, The use of squared slack variables in nonlinear second-order cone programming, Sets and indices in linear programming modelling and their integration with relational data models, Packing ellipsoids by nonlinear optimization, A two-level approach to large mixed-integer programs with application to cogeneration in energy-efficient buildings, Best practices for comparing optimization algorithms, Single machine scheduling with interfering job sets, Scenario formulation in an algebraic modelling language, Convex preference cone-based approach for many objective optimization problems, Features of multiregional and intertemporal AGE modelling with GEMPACK, Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy, SLP-IOR: An interactive model management system for stochastic linear programs, Interactions between nonlinear programming and modeling systems, Leader-follower equilibria for electric power and \(\text{NO}_x\) allowances markets, Robust delay-constrained routing in telecommunications, Parallel decomposition of large-scale stochastic nonlinear programs, On the formulation of stochastic linear programs using algebraic modelling languages, New constructs for the description of combinatorial optimization problems in algebraic modeling languages, Computing solutions for large general equilibrium models using GEMPACK, Estimating arrival rate of nonhomogeneous Poisson processes with semidefinite programming, On an optimal control problem in laser cutting with mixed finite-/infinite-dimensional constraints, A note on the implementation of an interior-point algorithm for nonlinear optimization with inexact step computations, A storm of feasibility pumps for nonconvex MINLP, Dynamic programming with shape-preserving rational spline Hermite interpolation, SAA-regularized methods for multiproduct price optimization under the pure characteristics demand model, Polynomials with bounds and numerical approximation, A stochastic programming model for the optimal electricity market bid problem with bilateral contracts for thermal and combined cycle units, Error bounds for initial value problems by optimization, A framework for globally optimizing mixed-integer signomial programs, On the optimal design of water distribution networks: a practical MINLP approach, A trust-region framework for constrained optimization using reduced order modeling, A numerical method for nonconvex multi-objective optimal control problems, Military aircraft mission planning. Efficient model-based metaheuristic approaches, Markov-Dubins path via optimal control theory, Optimizing high-level nuclear waste disposal within a deep geologic repository, Performance of several nonlinear programming software packages on microcomputers., Propagation of data error and parametric sensitivity in computable general equilibrium models, Real options valuation of forest plantation investments in Brazil, Robot trajectory planning with semi-infinite programming., On the use of expert systems in network optimization: With an application to matrix balancing, Processing second-order stochastic dominance models using cutting-plane representations, Interior-point methods for nonconvex nonlinear programming: cubic regularization, Efficiently packing unequal disks in a circle, On the solution of the symmetric eigenvalue complementarity problem by the spectral projected gradient algorithm, A new scalarization technique to approximate Pareto fronts of problems with disconnected feasible sets, A sequential quadratic programming with a dual parametrization approach to nonlinear semi-infinite programming, Heuristics for flight and maintenance planning of mission aircraft, Optimal combined radio- and anti-angiogenic cancer therapy, Study of a primal-dual algorithm for equality constrained minimization, Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions, An integer programming model for optimal pork marketing, The design of the zinc modelling language, The geometry of rank decompositions of matrix multiplication. II: \(3 \times 3\) matrices, Cubic regularization in symmetric rank-1 quasi-Newton methods, CasADi: a software framework for nonlinear optimization and optimal control, Simulated annealing with asymptotic convergence for nonlinear constrained optimization, On the covering multiplicity of lattices, Minimal time spiking in various ChR2-controlled neuron models, A study of the difference-of-convex approach for solving linear programs with complementarity constraints, Optimizing invasive species management: a mixed-integer linear programming approach, Optimal management of naturally regenerating uneven-aged forests, New multi-commodity flow formulations for the pooling problem, An interior-point algorithm for nonlinear minimax problems, TroublemakeR, Air pollution control with semi-infinite programming, Patrolling security games: definition and algorithms for solving large instances with single patroller and single intruder, Numerical optimisation as grid services for engineering design, Mesh shape-quality optimization using the inverse mean-ratio metric, A comparison of complete global optimization solvers, Feasibility pump for aircraft deconfliction with speed regulation, A hybrid heuristic algorithm for the open-pit-mining operational planning problem, LPL: A mathematical programming language, Lower bounds based on linear programming for the quadratic assignment problem, TACO: a toolkit for AMPL control optimization, Algebraic languages for mathematical programming, A discrete method to solve fractional optimal control problems, A nonlinear optimization methodology for VLSI fixed-outline floorplanning, A note on the regularity of reduced models obtained by nonlocal quasi-continuum-like approaches, An XML-based schema for stochastic programs, Location of retail facilities under conditions of uncertainty, Reducing overcapacity in chemical plants by linear programming, On the implementation of automatic differentiation tools, Subscript-free modeling languages: A tool for facilitating the formulation and use of models, Optimal oblivious routing under linear and ellipsoidal uncertainty, Two-sided space-time \(L^1\) polynomial approximation of hypographs within polynomial optimal control, Solving elliptic control problems with interior point and SQP methods: Control and state constraints, Bounds for probabilistic integer programming problems, Improving aggregation bounds for two-stage stochastic programs, Representation of time in mathematical programming modeling languages, Mixed global constraints and inference in hybrid CLP--IP solvers, Issues in the design of modeling languages for mathematical programming, Enhanced indexation based on second-order stochastic dominance, Approximate solutions of continuous dispersion problems
Uses Software
