zbMath0704.90057MaRDI QIDQ3997222
Hoang Tuy, Reiner Horst
Publication date: 17 September 1992
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A global optimization algorithm for generalized semi-infinite, continuous minimax with coupled constraints and bi-level problems ⋮
A review of recent advances in global optimization ⋮
Modular global optimisation in chemical engineering ⋮
Static and dynamic resource allocation models for recovery of interdependent systems: application to the Deepwater Horizon oil spill ⋮
Global optimization of truss topology with discrete bar areas. II: Implementation and numerical results ⋮
Outcome space range reduction method for global optimization of sum of affine ratios problem ⋮
Adaptive nested optimization scheme for multidimensional global search ⋮
Maximizing for the sum of ratios of two convex functions over a convex set ⋮
Global optimization algorithm for sum of generalized polynomial ratios problem ⋮
Theoretical convergence analysis of a general division-deletion algorithm for solving global search problems ⋮
Truss topology optimization with discrete design variables -- guaranteed global optimality and benchmark examples ⋮
A Newton method for solving continuous multiple material minimum compliance problems ⋮
Unboundedness in reverse convex and concave integer programming ⋮
Piece adding technique for convex maximization problems ⋮
An efficient combined DCA and B\&B using DC/SDP relaxation for globally solving binary quadratic programs ⋮
Global optima for the Zhou-Rozvany problem ⋮
Optimal configuration of a decentralized, market-driven production/inventory system ⋮
Dynamic analysis for the selection of parameters and initial population, in particle swarm optimization ⋮
Solving a class of low rank d.c. programs via a branch and bound approach: a computational experience ⋮
Globally optimal algorithms for stratified autocalibration ⋮
The directional subdifferential of the difference of two convex functions ⋮
A convergent simplicial algorithm with \(\omega \)-subdivision and \(\omega \)-bisection strategies ⋮
Criteria and dimension reduction of linear multiple criteria optimization problems ⋮
On the relation between concavity cuts and the surrogate dual for convex maximization problems ⋮
Think co(mpletely)positive! Matrix properties, examples and a clustered bibliography on copositive optimization ⋮
A global optimization algorithm for sum of quadratic ratios problem with coefficients ⋮
Mathematical and metaheuristic applications in design optimization of steel frame structures: an extensive review ⋮
Criteria for unconstrained global optimization ⋮
Global maximization of a generalized concave multiplicative function ⋮
Generalized semi-infinite programming: a tutorial ⋮
New and old bounds for standard quadratic optimization: dominance, equivalence and incomparability ⋮
Global optimization for special reverse convex programming ⋮
Effect of the subdivision strategy on convergence and efficiency of some global optimization algorithms ⋮
An all-linear programming relaxation algorithm for optimizing over the efficient set ⋮
On Nash-Cournot oligopolistic market equilibrium models with concave cost functions ⋮
Solving DC programs using the cutting angle method ⋮
Global optimization of concave functions subject to quadratic constraints: An application in nonlinear bilevel programming ⋮
On the closure of the feasible set in generalized semi-infinite programming ⋮
Level-constrained programming ⋮
A computational comparison of some branch and bound methods for indefinite quadratic programs ⋮
Existence and sum decomposition of vertex polyhedral convex envelopes ⋮
Zero-convex functions, perturbation resilience, and subgradient projections for feasibility-seeking methods ⋮
What can interval analysis do for global optimization? ⋮
Mathematical programs with a two-dimensional reverse convex constraint ⋮
On solving a d.c. programming problem by a sequence of linear programs ⋮
A new simplicial cover technique in constrained global optimization ⋮
The complementary convex structure in global optimization ⋮
Reduction of indefinite quadratic programs to bilinear programs ⋮
Global optimization of a nonconvex single facility location problem by sequential unconstrained convex minimization ⋮
A global optimization algorithm for polynomial programming problems using a reformulation-linearization technique ⋮
On nonconvex optimization problems with separated nonconvex variables ⋮
An optimality criterion for global quadratic optimization ⋮
Computing exact solution to nonlinear integer programming: convergent Lagrangian and objective level cut method ⋮
Nonconvex piecewise linear knapsack problems ⋮
Heuristics and lower bounds for minimizing fuel consumption in hybrid-electrical vehicles ⋮
Convergence qualification of adaptive partition algorithms in global optimization ⋮
Bounding the gap between the McCormick relaxation and the convex hull for bilinear functions ⋮
Degeneracy removal in cutting plane methods for disjoint bilinear programming ⋮
Canonical d. c. programming techniques for solving a convex program with an additional constraint of multiplicative type ⋮
Generalized bilinear programming. I: Models, applications and linear programming relaxation ⋮
A generalized duality and applications ⋮
An outer approximation method for minimizing the product of several convex functions on a convex set ⋮
Multidimensional bisection: the performance and the context ⋮
Nonlinear coordinate transformations for unconstrained optimization. II: Theoretical background ⋮
Combined branch-and-bound and cutting plane methods for solving a class of nonlinear programming problems ⋮
Differentiable McCormick relaxations ⋮
A global optimization approach for solving the convex multiplicative programming problem ⋮
An application of Lipschitzian global optimization to product design ⋮
Polyhedral annexation, dualization and dimension reduction technique in global optimization ⋮
A parametric successive underestimation method for convex multiplicative programming problems ⋮
An algorithm for solving convex programs with an additional convex- concave constraint ⋮
Minimization of a quasi-concave function over an efficient set ⋮
A new reformulation-linearization technique for bilinear programming problems ⋮
An approach to constrained global optimization based on exact penalty functions ⋮
Attractive force search algorithm for piecewise convex maximization problems ⋮
Some further duality theorems for optimization problems with reverse convex constraint sets ⋮
Compressor scheduling in oil fields. Piecewise-linear formulation, valid inequalities, and computational analysis ⋮
A global optimization approach for the linear two-level program ⋮
Calculation of bounds on variables satisfying nonlinear inequality constraints ⋮
Relaxing the optimality conditions of box QP ⋮
An integral function and vector sequence method for unconstrained global optimization ⋮
Alternating local search based VNS for linear classification ⋮
Piecewise-linear approximations of multidimensional functions ⋮
Global optimization of nonlinear sum of ratios problem ⋮
Maximization of generalized convex functionals in locally convex spaces. ⋮
Discretization and resolution of the \((r| X_ p)\)-medianoid problem involving quality criteria. ⋮
On the global optimization of sums of linear fractional functions over a convex set ⋮
A fast memoryless interval-based algorithm for global optimization ⋮
Heuristic algorithms for the general nonlinear separable knapsack problem ⋮
Branch-and-bound outer approximation algorithm for sum-of-ratios fractional programs ⋮
A branch and reduce approach for solving a class of low rank d.c. programs ⋮
Convergent Lagrangian and domain cut method for nonlinear knapsack problems ⋮
On the subdifferentiability of the difference of two functions and local minimization ⋮
Conditions for boundedness in concave programming under reverse convex and convex constraints ⋮
Problem-method classification in optimization and control ⋮
Tight convex underestimators for \({{\mathcal C}^2}\)-continuous problems. I: Univariate functions ⋮
Tight convex underestimators for \({\mathcal{C}^2}\)-continuous problems. II: Multivariate functions ⋮
On generalization performance and non-convex optimization of extended \(\nu \)-support vector machine ⋮
Global optimization from concave minimization to concave mixed variational inequality ⋮
Concave minimization via conical partitions and polyhedral outer approximation ⋮
Deterministic methods in constrained global optimization: Some recent advances and new fields of application ⋮
Algorithms to solve some problems of concave programming with linear constraints ⋮
Decision-making based on approximate and smoothed Pareto curves ⋮
A simplicial branch and bound duality-bounds algorithm to linear multiplicative programming ⋮
Global optimization issues in deep network regression: an overview ⋮
A method of acceleration for a class of multiplicative programming problems with exponent ⋮
A DIRECT-based approach exploiting local minimizations for the solution of large-scale global optimization problems ⋮
The DTC (difference of tangentially convex functions) programming: optimality conditions ⋮
An efficient algorithm for globally minimizing sum of quadratic ratios problem with nonconvex quadratic constraints ⋮
On solving general reverse convex programming problems by a sequence of linear programs and line searches ⋮
Valid Inequalities for Separable Concave Constraints with Indicator Variables ⋮
Finding all solutions of nonlinearly constrained systems of equations ⋮
A d.c. optimization method for single facility location problems ⋮
A branch-and-bound algorithm for bound constrained optimization problems without derivatives ⋮
On some connections among variational inequalities, combinatorial and continuous optimization ⋮
An intelligent decision support system for assisting industrial wastewater management ⋮
New LP bound in multivariate Lipschitz optimization: Theory and applications ⋮
Quasidifferentiability in nonsmooth, nonconvex mechanics ⋮
Outcome-based algorithm for optimizing over the efficient set of a bicriteria linear programming problem ⋮
A generalized karush-kuhn-tucki optimality condition without constraint qualification using tl approximate subdifferential ⋮
A proximal bundle method for nonsmooth DC optimization utilizing nonconvex cutting planes ⋮
\(\alpha BB\): A global optimization method for general constrained nonconvex problems ⋮
Global optimization for the biaffine matrix inequality problem ⋮
An algorithm for solving global optimization problems with nonlinear constraints ⋮
Integral global minimization: Algorithms, implementations and numerical tests ⋮
Dual approach to minimization on the set of Pareto-optimal solutions ⋮
Linearly constrained global minimization of functions with concave minorants ⋮
Second-order scenario approximation and refinement in optimization under uncertainty ⋮
An improved univariate global optimization algorithm with improved linear lower bounding functions ⋮
A strongly polynomial algorithm for a concave production-transportation problem with a fixed number of nonlinear variables ⋮
Analytical solutions to the optimization of a quadratic cost function subject to linear and quadratic equality constraints ⋮
Solvability theorems for classes of difference convex functions ⋮
A branch-and-reduce approach to global optimization ⋮
Characterizing global optimality for DC optimization problems under convex inequality constraints ⋮
On convex relaxations for quadratically constrained quadratic programming ⋮
Tight convex relaxations for the expansion planning problem ⋮
Value-at-risk optimization using the difference of convex algorithm ⋮
A framework for optimization under ambiguity ⋮
Novel approaches to the discrimination problem ⋮
Beyond canonical dc-optimization: the single reverse polar problem ⋮
A note on maxmin problem ⋮
A global optimization algorithm for solving a four-person game ⋮
Global optimality conditions and exact penalization ⋮
Convergence conditions and numerical comparison of global optimization methods based on dimensionality reduction schemes ⋮
A practical but rigorous approach to sum-of-ratios optimization in geometric applications ⋮
Survey of Piecewise Convex Maximization and PCMP over Spherical Sets ⋮
Convex and concave envelopes of artificial neural network activation functions for deterministic global optimization ⋮
On the relation between the extended supporting hyperplane algorithm and Kelley's cutting plane algorithm ⋮
A heuristic algorithm for a chance constrained stochastic program ⋮
Some results on augmented Lagrangians in constrained global optimization via image space analysis ⋮
Optimal estimator design for LTI systems with bounded noises, disturbances, and nonlinearities ⋮
Global optimization for max-plus linear systems and applications in distributed systems ⋮
A branch-and-bound algorithm embedded with DCA for DC programming ⋮
Using conical partition to globally maximizing the nonlinear sum of ratios ⋮
On computational search for optimistic solutions in bilevel problems ⋮
A partition-based global optimization algorithm ⋮
A local search method for continuous global optimization ⋮
Methods of embedding-cutting off in problems of mathematical programming ⋮
Some old traditions in mathematics and in mathematical education ⋮
Lipschitz minorants of Brownian motion and Lévy processes ⋮
A combined cutting-stock and lot-sizing problem ⋮
Computationally efficient approach for solving lexicographic multicriteria optimization problems ⋮
Maximization of a PSD quadratic form and factorization ⋮
Biconvex sets and optimization with biconvex functions: a survey and extensions ⋮
Weber problems with mixed distances and regional demand ⋮
Solving sum of ratios fractional programs via concave minimization ⋮
A new concave reformulation and its application in solving DC programming globally under uncertain environment ⋮
How to solve a semi-infinite optimization problem ⋮
A simplicial branch-and-bound algorithm conscious of special structures in concave minimization problems ⋮
Minimizing the sum of a convex function and a specially structured nonconvex function ⋮
The complexity of a special convex programming problem connected with nonlinear optimization ⋮
Convergence of control performance by unfalsification of models?levels of confidence ⋮
A convergent conical algorithm with \(\omega \)-bisection for concave minimization ⋮
Improving the efficiency of DC global optimization methods by improving the DC representation of the objective function ⋮
An adaptive, multivariate partitioning algorithm for global optimization of nonconvex programs ⋮
A note on adapting methods for continuous global optimization to the discrete case ⋮
Minimum concave-cost network flow problems: Applications, complexity, and algorithms ⋮
Unnamed Item ⋮
A jointly constrained bilinear programming method for solving generalized Cournot–Pareto models ⋮
Global optimization algorithm for a generalized linear multiplicative programming ⋮
A global optimization approach to fractional optimal control ⋮
On tackling reverse convex constraints for non-overlapping of unequal circles ⋮
Linearization of McCormick relaxations and hybridization with the auxiliary variable method ⋮
Convex quadratic underestimation and Branch and Bound for univariate global optimization with one nonconvex constraint ⋮
An algorithm and new penalties for concave integer minimization over a polyhedron ⋮
Krasnoselski-Mann-type inertial method for solving split generalized mixed equilibrium and hierarchical fixed point problems ⋮
Lagrangian duality of concave minimization subject to linear constraints and an additional facial reverse convex constraint ⋮
Second-order sufficient optimality conditions for local and global nonlinear programming ⋮
Computational experience using an edge search algorithm for linear reverse convex programs ⋮
Generalized primal-relaxed dual approach for global optimization ⋮
A squared-euclidean distance location-allocation problem ⋮
An effective global optimization algorithm for quadratic programs with quadratic constraints ⋮
A branch and bound algorithm to globally solve the sum of several linear ratios ⋮
A deterministic global optimization algorithm for generalized geometric programming ⋮
On the mixed integer signomial programming problems ⋮
(\(\epsilon\)-)efficiency in difference vector optimization ⋮
Computing the nadir point for multiobjective discrete optimization problems ⋮
Global maximization of UTA functions in multi-objective optimization ⋮
Global optimization method for linear multiplicative programming ⋮
Univariate parameterization for global optimization of mixed-integer polynomial problems ⋮
Finding the principal points of a random variable ⋮
Unnamed Item ⋮
Deterministic global optimization for nonlinear model predictive control of hybrid dynamic systems ⋮
ODE Analysis of Biological Systems ⋮
Unnamed Item ⋮
Unnamed Item ⋮
A mixed-integer linear programming reduction of disjoint bilinear programs via symbolic variable elimination ⋮
Global optimization method with numerically calculated function derivatives ⋮
An efficient solution method for rank two quasiconcave minimization problems ⋮
On geometry and convergence of a class of simplicial covers ⋮
Subdomain separability in global optimization ⋮
Duality and optimality conditions for reverse convex programs via a convex decomposition ⋮
Smooth representation of a parametric polyhedral convex set with application to sensitivity in optimization ⋮
A New Composite Algorithm for Clustering Problems ⋮
Robust stability analysis of systems with real parametric uncertainty: A global optimization approach ⋮
On Hopf's formula for lipschitz solutions of the cauchy problem for Hamilton-Jacobi equations ⋮
SCIP: global optimization of mixed-integer nonlinear programs in a branch-and-cut framework ⋮
Optimization over the efficient set ⋮
On measuring the inefficiency with the inner-product norm in data envelopment analysis ⋮
Integrated capacity, demand, and production planning with subcontracting and overtime options ⋮
Base-stock policies in capacitated assembly systems: Convexity properties ⋮
Maximizing the ratio of two convex functions over a convex set ⋮
On the calculation of a feasible point of a nonconvex set: pathfollowing with jumps ⋮
A direct search variant of the simulated annealing algorithm for optimization involving continuous variables ⋮
Global optimization algorithm for the nonlinear sum of ratios problem ⋮
Intersection cuts for nonlinear integer programming: convexification techniques for structured sets ⋮
On computational search for Nash equilibrium in hexamatrix games ⋮
Inscribed ball and enclosing box methods for the convex maximization problem ⋮
On the implementation and strengthening of intersection cuts for QCQPs ⋮
A specially structured nonlinear integer resource allocation problem ⋮
Dual Randomized Coordinate Descent Method for Solving a Class of Nonconvex Problems ⋮
Comments on: Algorithms for linear programming with linear complementarity constraints ⋮
Multidimensional global optimization using numerical estimates of objective function derivatives ⋮
Solution of a non-linear programming problem with quadratic functions ⋮
Calculating a minimal sphere containing a polytope defined by a system of linear inequalities ⋮
Application of Bayesian approach to numerical methods of global and stochastic optimization ⋮
Linear programs with an additional rank two reverse convex constraint ⋮
A finite concave minimization algorithm using branch and bound and neighbor generation ⋮
On the role of continuously differentiable exact penalty functions in constrained global optimization ⋮
Chebyshev approximation of a point set by a straight line ⋮
A composite branch and bound, cutting plane algorithm for concave minimization over a polyhedron ⋮
An algorithm for solving general D. C. programming problems ⋮
Branch-and-bound decomposition approach for solving quasiconvex-concave programs ⋮
Convex programs with an additional constraint on the product of several convex functions ⋮
Decomposition based and branch and bound global optimization approaches for the phase equilibrium problem ⋮
Global optimization in biology and medicine ⋮
Combinatorial algorithms for some 1-facility median problems in the plane ⋮
Constraint decomposition algorithms in global optimization ⋮
Topographical multilevel single linkage ⋮
Global optimization conditions for certain nonconvex minimization problems ⋮
Finding maximum likelihood estimators for the three-parameter Weibull distribution ⋮
On the construction of test problems for concave minimization algorithms ⋮
Some outer approximation methods for semi-infinite optimization problems ⋮
A global optimization algorithm for linear fractional and bilinear programs ⋮
A method for solving d.c. programming problems. Application to fuel mixture nonconvex optimization problem ⋮
Minimum-volume ellipsoids containing compact sets: Application to parameter bounding ⋮
Decomposition methods for solving a class of nonconvex programming problems dealing with bilinear and quadratic functions ⋮
A relaxation method for nonconvex quadratically constrained quadratic programs ⋮
Deletion-by-infeasibility rule for DC-constrained global optimization ⋮
Statistical approximations for recourse constrained stochastic programs ⋮
\(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on a normed space ⋮
Extremal problems on complements of convex sets ⋮
Capacity planning in networks of queues with manufacturing applications ⋮
Bilevel programming for generating discrete representations in multiobjective optimization ⋮
Verified solution of large systems and global optimization problems ⋮
D.C. representability of closed sets in reflexive Banach spaces and applications to optimization problems ⋮
Nonconvex optimization over a polytope using generalized capacity improvement ⋮
Minimizing a linear multiplicative-type function under network flow constraints ⋮
Multiplicative programming problems: Analysis and efficient point search heuristic ⋮
Characterization and generation of \(\alpha\)-dense curves ⋮
Levels sets infimal convolution and level addition ⋮
Formulation assistance for global optimization problems ⋮
Global optimization of MIQCPs with dynamic piecewise relaxations ⋮
Application of stochastic global optimization algorithms to practical problems ⋮
Global optimality test for maximin solution of bilevel linear programming with ambiguous lower-level objective function ⋮
An efficient strategy for the activation of MIP relaxations in a multicore global MINLP solver ⋮
Global optimization and multi knapsack: a percolation algorithm. ⋮
Globalizer: a novel supercomputer software system for solving time-consuming global optimization problems ⋮
Efficient multicriterial optimization based on intensive reuse of search information ⋮
A vector linear programming approach for certain global optimization problems ⋮
A bisection-extreme point search algorithm for optimizing over the efficient set in the linear dependence case ⋮
Linear multiplicative programming ⋮
An exact solution method for reliability optimization in complex systems ⋮
Efficient computation of the Hausdorff distance between polytopes by exterior random covering ⋮
Second-order global optimality conditions for optimization problems ⋮
Global optimization of generalized geometric programming ⋮
Convex envelopes for edge-concave functions ⋮
A simplicial branch-and-bound algorithm for solving quadratically constrained quadratic programs ⋮
Design of planar articulated mechanisms using branch and bound ⋮
Conical partition algorithm for maximizing the sum of dc ratios ⋮
A software system for multiextremal optimization ⋮
The linear complementarity problem as a separable bilinear program ⋮
Efficient algorithms for solving certain nonconvex programs dealing with the product of two affine fractional functions ⋮
Set inversion via interval analysis for nonlinear bounded-error estimation ⋮
Cutting angle methods in global optimization ⋮
A multi-local optimization algorithm ⋮
Generalized bilinear programming: An application in farm management ⋮
Finding robust solutions for product design problems ⋮
A complementarity approach to a quasistatic multi-rigid-body contact problem ⋮
A formula on the conjugate of the max of a convex functions and a concave function ⋮
Subdivision of simplices relative to a cutting plane and finite concave minimization ⋮
Capacity planning in manufacturing and computer networks ⋮
A low-rank bilinear programming approach for sub-optimal solution of the quadratic assignment problem ⋮
Nonlinear programming for multiperiod capacity planning in a manufacturing system ⋮
Weber problems with alternative transportation systems ⋮
Global one-dimensional optimization using smooth auxiliary functions ⋮
Second-order global optimality conditions for convex composite optimization ⋮
A branch and bound method for stochastic global optimization ⋮
Optimization over the efficient set of a parametric multiple objective linear programming problem ⋮
An approximate approach of global optimization for polynomial programming problems ⋮
On the posynomial fractional programming problems ⋮
Extensions of Dinkelbach's algorithm for solving nonlinear fractional programming problems ⋮
Optimal and near optimal quantization of integrable functions. ⋮
Parallel computing in nonconvex programming ⋮
A penalty function approach for solving bi-level linear programs ⋮
New properties and computational improvement of the GOP algorithm for problems with quadratic objective functions and constraints ⋮
Experiments using interval analysis for solving a circuit design problem ⋮
A new version of Farkas' lemma and global convex maximization ⋮
The nonlinear knapsack problem - algorithms and applications ⋮
A partial cooperation model for non-unique linear two-level decision problems ⋮
A finite algorithm for solving general quadratic problems ⋮
Global minimization of a generalized convex multiplicative function ⋮
Image space analysis of generalized fractional programs ⋮
The simplex method as a global optimizer: A \(C\)-programming perspective ⋮
Globally determining a minimum-area rectangle enclosing the projection of a higher-dimensional set ⋮
A quasiconcave minimization method for solving linear two-level programs ⋮
Optimization methods for computing global minima of nonconvex potential energy functions ⋮
Global minimum potential energy conformations of small molecules ⋮
A finite, nonadjacent extreme-point search algorithm for optimization over the efficient set ⋮
Conical algorithm for the global minimization of linearly constrained decomposable concave minimization problems ⋮
Primal-relaxed dual global optimization approach ⋮
Optimization over the efficient set: Four special cases ⋮
A generalized Dantzig-Wolfe decomposition principle for a class of nonconvex programming problems ⋮
A priority measure in interval methods for constrained global optimization