Calculus of convex polyhedra and polyhedral convex functions by utilizing a multiple objective linear programming solver

DOI10.1080/02331934.2018.1518447zbMath1425.52014arXiv1801.10584OpenAlexW2962737507WikidataQ129195065 ScholiaQ129195065MaRDI QIDQ5198001

Daniel Ciripoi, Benjamin Weißing, Andreas Löhne

Publication date: 2 October 2019

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.10584

zbMATH Keywords

polyhedronpolyhedral setmultiple objective linear programmingpolyhedral convex analysispolyhedron computations

Mathematics Subject Classification ID

Computational aspects related to convexity (52B55) Multi-objective and goal programming (90C29) Linear programming (90C05)

Related Items (4)

Minimal representations of a face of a convex polyhedron and some applications ⋮ Solving polyhedral d.c. optimization problems via concave minimization ⋮ Calculus of convex polyhedra and polyhedral convex functions by utilizing a multiple objective linear programming solver ⋮ The polyhedral projection problem

Uses Software

• Matlab
• Octave
• MPT
• BENSOLVE

Cites Work

• Unnamed Item
• Equivalence between polyhedral projection, multiple objective linear programming and vector linear programming
• Benson type algorithms for linear vector optimization and applications
• An outer approximation algorithm for generating all efficient extreme points in the outcome set of a multiple objective linear programming problem
• The vector linear program solver Bensolve -- notes on theoretical background
• The polyhedral projection problem
• Vector Optimization with Infimum and Supremum
• Geometric Duality in Multiple Objective Linear Programming
• Undergraduate Convexity
• Calculus of convex polyhedra and polyhedral convex functions by utilizing a multiple objective linear programming solver
• Foundations of Optimization
• State Constraints in Convex Control Problems of Bolza

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