A tutorial on geometric programming
From MaRDI portal
Publication:1027158
DOI10.1007/s11081-007-9001-7zbMath1178.90270OpenAlexW2171048418MaRDI QIDQ1027158
Lieven Vandenberghe, Seung-Jean Kim, Arash Hassibi, Stephen P. Boyd
Publication date: 30 June 2009
Published in: Optimization and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11081-007-9001-7
Related Items
Data fitting with geometric-programming-compatible softmax functions, Temporal network epidemiology, Measurements of quantum Hamiltonians with locally-biased classical shadows, Global solutions to nonconvex optimization of 4th-order polynomial and log-sum-exp functions, Lifting for Simplicity: Concise Descriptions of Convex Sets, Tractable approximate robust geometric programming, Global optimization of signomial geometric programming problems, A Low Complexity Algorithm with $O(\sqrt{T})$ Regret and $O(1)$ Constraint Violations for Online Convex Optimization with Long Term Constraints, Optimization of biochemical systems through mathematical programming: methods and applications, Optimization on flag manifolds, Status determination by interior-point methods for convex optimization problems in domain-driven form, A SOLUTION TO GEOMETRIC PROGRAMMING PROBLEMS WITH NEGATIVE DEGREES OF DIFFICULTY, Unnamed Item, An efficient method for solving multi-objective signomial programming problems in real life, On generalizing Descartes' rule of signs to hypersurfaces, On the largest eigenvalue of a symmetric nonnegative tensor, Convex piecewise-linear fitting, A method of sequential log-convex programming for engineering design, A signomial programming-based approach for multi-echelon supply chain disruption risk assessment with robust dynamic Bayesian network, Solving geometric programming problems with fuzzy random variable coefficients, Geometric compromise programming: application in portfolio selection, An accelerating outer space algorithm for globally solving generalized linear multiplicative problems, Linearly-convergent FISTA variant for composite optimization with duality, Robust chance-constrained geometric programming with application to demand risk mitigation, Optimisation problems as decision problems: the case of fuzzy optimisation problems, Hyperloop system optimization, Data fitting with signomial programming compatible difference of convex functions, Quantum theory in finite dimension cannot explain every general process with finite memory, A Polynomial Time Algorithm for Computing Extinction Probabilities of Multitype Branching Processes, A Positivstellensatz for Sums of Nonnegative Circuit Polynomials, MM algorithms for geometric and signomial programming, A review of deterministic optimization methods in engineering and management, Using mathematical programming to solve factored Markov decision processes with imprecise probabilities, Lower bounds on the global minimum of a polynomial, Geometric programming approach to doping profile design optimization of metal-oxide-semiconductor devices, Unnamed Item, DCA-based algorithms for DC fitting, Copula theory approach to stochastic geometric programming, Path following in the exact penalty method of convex programming, Sequential Convex Programming for the Efficient Verification of Parametric MDPs, The discrete ellipsoid covering problem: a discrete geometric programming approach, Semidefinite approximations of the matrix logarithm, Relative entropy optimization and its applications, Stochastic geometric programming with joint probabilistic constraints, Multi-objective geometric programming problem with \(\epsilon\)-constraint method, Designing globally optimal delta-sigma modulator topologies via signomial programming, An enhanced logarithmic method for signomial programming with discrete variables, An approach to constrained polynomial optimization via nonnegative circuit polynomials and geometric programming, Stochastic geometric optimization with joint probabilistic constraints, Maximum likelihood estimation of ordered multinomial probabilities by geometric programming, GRAPHICAL MODELS FOR CORRELATED DEFAULTS, Robust budget allocation via continuous submodular functions, Reformulations for utilizing separability when solving convex MINLP problems, Unnamed Item, Primal-Dual Interior-Point Methods for Domain-Driven Formulations, Incentive rate determination in viral marketing, Co-design of safe and efficient networked control systems in factory automation with state-dependent wireless fading channels, Russell graph efficiency measures in data envelopment analysis: the multiplicative approach, Fuzzy pricing, marketing and service planning in a fuzzy inventory model: a geometric programming approach, Joint optimisation of price, warranty and recovery planning in remanufacturing of used products under linear and non-linear demand, return and cost functions, Deniable Functional Encryption, Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry, Estimating cell probabilities in contingency tables with constraints on marginals/conditionals by geometric programming with applications, Lower Bounds for Polynomials with Simplex Newton Polytopes Based on Geometric Programming, Relative Entropy Relaxations for Signomial Optimization, On the complexity of robust geometric programming with polyhedral uncertainty, Enhanced linear reformulation for engineering optimization models with discrete and bounded continuous variables, The decompositions with respect to two core non-symmetric cones, Solving a posynomial geometric programming problem with fully fuzzy approach, Posynomial Geometric Programming with Intuitionistic Fuzzy Coefficients, On the Fuzzy Fractional Posynomial Geometric Programming Problems, Inner approximation algorithm for generalized linear multiplicative programming problems, Disciplined geometric programming, A study on the anonymity of pairwise comparisons in group decision making, Optimal Containment of Epidemics over Temporal Activity-Driven Networks, Newton polytopes and relative entropy optimization, KDE distributionally robust portfolio optimization with higher moment coherent risk, Acceptable set topic modeling, Rectangular chance constrained geometric optimization, Tropical varieties for exponential sums, Unnamed Item, Conic Geometric Optimization on the Manifold of Positive Definite Matrices, An improved geometric programming approach for optimization of biochemical systems, Information-based measure of nonlocality, Log-log convexity of an optimal control problem for positive linear systems, Distributionally Robust Chance Constrained Geometric Optimization, Shortening cycle times in multi-product, capacitated production environments through quality level improvements and setup reduction
Uses Software
Cites Work
- Irreversible adaptive allocation rules
- A heuristic for optimizing stochastic activity networks with applications to statistical digital circuit sizing
- Tractable approximate robust geometric programming
- Empirical distributions in selection bias models
- Sensitivity analysis in posynomial geometric programming
- The role of duality in optimization problems involving entropy functionals with applications to information theory
- Advances in geometric programming
- Sensitivity analysis in geometric programming
- The geometric programming dual to the extinction probability problem in simple branching processes
- A computational study of the homogeneous algorithm for large-scale convex optimization
- Investigation of path-following algorithms for signomial geometric programming problems
- Robustness of posynomial geometric programming optima
- Restricted multinomial maximum likelihood estimation based upon Fenchel duality
- An infeasible interior-point algorithm for solving primal and dual geometric programs
- Second-order method of generalized geometric programming for spatial frame optimization
- Maximum likelihood estimates with order restrictions on probabilities and odds ratios: A geometric programming approach
- Global optimization of nonconvex polynomial programming problems having rational exponents
- Univariate cubic \(L_1\) splines -- a geometric programming approach
- A general alternative procedure for solving negative degree of difficulty problems in geometric programming
- Shape-preserving properties of univariate cubic \(L_{1}\) splines
- A geometric programming framework for univariate cubic \(L_1\) smoothing splines
- Sensitivity analysis in geometric programming: Theory and computations
- Posynomial geometric programming as a special case of semi-infinite linear programming
- Asymptotically efficient strategies for a stochastic scheduling problem with order constraints.
- Global optimization to prescribed accuracy
- Duals for classical inventory models via generalized geometric programming
- Effectiveness of a geometric programming algorithm for optimization of machining economics models
- A Linear Programming Approach to the Chemical Equilibrium Problem
- An approximate method for structural optimisation
- A Geometric Programming Model for the Optimal Design of Wastewater Treatment Plants
- The Solution of the Chemical Equilibrium Programming Problem with Generalized Benders Decomposition
- Geometric Programming Duals of Channel Capacity and Rate Distortion
- Geometric Programming: Estimation of Lagrange Multipliers
- Efficient optimization of space trusses
- OR Practice—Solving Complex Chemical Equilibria Using a Geometric-Programming Based Technique
- Rate distortion theory with generalized information measures via convex programming duality
- Geometric programming strategies in large-scale structural synthesis
- Optimal module sizing in VLSI floorplanning by nonlinear programming
- Geometric Programming: Methods, Computations and Applications
- Optimal Design of Linear Storage Hierarchies
- Channel Optimization in Complex Marketing Systems
- Maximum likelihood estimates for multinomial probabilities via geometric programming
- Structural optimization using single-term posynomial geometric programming
- Solution of generalized geometric programs
- Geometric Programming
- Sensitivity Analysis Procedures for Geometric Programs: Computational Aspects
- Numerical Optimization
- Optimal permutation codes for the Gaussian channel
- Mathematical Programming Models for Environmental Quality Control
- Improved Routh–PadÉ Approximants: A Computer-Aided Approach
- Digital Circuit Optimization via Geometric Programming
- Optimal wire-sizing function under the Elmore delay model with bounded wire sizes
- Branch-and-Bound Methods: A Survey
- Linearizing Geometric Programs
- Optimal inventory policies under decreasing cost functions via geometric programming
- The elements of statistical learning. Data mining, inference, and prediction
- The origins of geometric programming
- VLSI circuit performance optimization by geometric programming
- Estimating the firm value distribution function by entropy optimization and geometric programming
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
