A simplex algorithm for piecewise-linear programming I: Derivation and proof
From MaRDI portal
Publication:3703668
DOI10.1007/BF01582246zbMath0579.90084MaRDI QIDQ3703668
Publication date: 1985
Published in: Mathematical Programming (Search for Journal in Brave)
nondifferentiable optimizationlinear constraintsconvex separable piecewise-linear functiondirect extended-simplex approach
Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Linear programming (90C05) Numerical methods based on nonlinear programming (49M37)
Related Items
Reverse 1-centre problem on trees under convex piecewise-linear cost function, A simplex algorithm for piecewise-linear programming I: Derivation and proof, A restricted-entry method for a transportation problem with piecewise- linear concave costs, Optimal objective function approximation for separable convex quadratic programming, A parametric simplex algorithm for biobjective piecewise linear programming problems, On Lipschitz optimization based on gray-box piecewise linearization, Degeneracy in the presence of roundoff errors, A simplex algorithm for piecewise-linear fractional programming problems, A simplex algorithm for piecewise-linear programming. II: Finiteness, feasibility and degeneracy, Discontinuous piecewise linear optimization, Piecewise-linear programming: The compact (CPLP) algorithm, Exact penalty and optimality condition for nonseparable continuous piecewise linear programming, Numerical analysis of worst-case end-to-end delay bounds in FIFO tandem networks, A simplex algorithm for network flow problems with piecewise linear fractional objective function, A survey of dynamic network flows, Transporting and Mixing Gasses with Different Qualities, Transporting and Mixing Gasses with Different Qualities, An algorithm for piece-wise indefinite quadratic programming problem, A simplex algorithm for piecewise-linear programming. III: Computational analysis and applications, Designing satellite communication networks by zero—one quadratic programming, Vector and matrix apportionment problems and separable convex integer optimization, The hill detouring method for minimizing hinging hyperplanes functions, Multiple objective programming with piecewise linear functions, An algorithm for linearly-constrained piecewise lexicographic programming problems., Mixed Integer Linear Programming Formulation Techniques, On a dual method for a specially structured linear programming problem with application to stochastic programming, A practical anti-cycling procedure for linearly constrained optimization, Solving capacitated part-routing problems with setup times and costs: a Dantzig-Wolfe decomposition-based solution approach, Optimal expansion of capacitated transshipment networks, Algorithms for network piecewise-linear programs: A comparative study, On location-allocation problems for dimensional facilities, Piecewise linear programming via interior points, The empirical performance of a polynomial algorithm for constrained nonlinear optimization, Vendor selection with price breaks, On degeneracy in linear programming and related problems, Piecewise lexicographic programming: A new model for practical decision problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A penalty linear programming method using reduced-gradient basis-exchange techniques
- A simplex algorithm for piecewise-linear programming. III: Computational analysis and applications
- Convex programming and systems of elementary monotonic relations
- Optimal Estimation of Executive Compensation by Linear Programming
- Recent Advances in Linear Programming
- A Linear Programming Approach to the Chemical Equilibrium Problem
- Linear Programming with Special Ordered Sets
- Nonlinear Power of Adjacent Extreme Point Methods in Linear Programming
- Large-Scale Portfolio Optimization
- A simplex algorithm for piecewise-linear programming I: Derivation and proof
- Piecewise-linear programming: The compact (CPLP) algorithm
- Linear Programming via a Nondifferentiable Penalty Function
- The Composite Simplex Algorithm
- Discrete approximation in the L1 norm
- An Improved Algorithm for Discrete $l_1 $ Linear Approximation