Partitioning multiple objective optimal solutions with applications in radiotherapy design
type: Item
instance of: scholarly article
title: Partitioning multiple objective optimal solutions with applications in radiotherapy design
zbMATH Open document ID: 1170.92324
published in: Optimization and Engineering
publication date: 2009-06-30T00:00:00Z
full work available at URL: https://digitalcommons.trinity.edu/math_faculty/65
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 90C05
Mathematics Subject Classification ID: 90C90
zbMATH DE Number: 5573325
zbMATH Keywords: optimal partition
zbMATH Keywords: multiple objective programming
zbMATH Keywords: interior point algorithms
zbMATH Keywords: radiation oncology
author: Allen G. Holder
MaRDI profile type: Publication
OpenAlex ID: W2090610803
cites work: A geometric view of parametric linear programming
cites work: A multiobjective interior primal-dual linear programming algorithm
cites work: Q4395415
cites work: Analytic centers and repelling inequalities
cites work: Q3351200
cites work: Solving Bicriterion Mathematical Programs
cites work: Q3236242
cites work: The use of the optimal partition in a linear programming solution for postoptimal analysis
cites work: Simultaneous Primal-Dual Right-Hand-Side Sensitivity Analysis from a Strictly Complementary Solution of a Linear Program
cites work: On the Dimension of the Set of Rim Perturbations for Optimal Partition Invariance
cites work: Sensitivity analysis in linear programming: Just be careful!
cites work: Normal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear Multicriteria Optimization Problems
cites work: Q3236246
cites work: A general parametric analysis approach and its implication to sensitivity analysis in interior point methods
cites work: Q3139571
cites work: Q4339096
cites work: Q4945429
cites work: Q5691079
cites work: Q4382667
cites work: An interior-point approach to sensitivity analysis in degenerate linear programs
cites work: Q4840115
DOI: 10.1007/S11081-006-0352-2
Recommended article: Multi-objective optimisation of positively homogeneous functions and an application in radiation therapy
Recommended article: Approximately solving multiobjective linear programmes in objective space and an application in radiotherapy treatment planning
Recommended article: A class of optimization problems in radiotherapy dosimetry planning
Recommended article: Q5158549
Recommended article: Multi-criteria optimization and decision-making in radiotherapy
Recommended article: Selecting radiotherapy dose distributions by means of constrained optimization problems
Recommended article: A parallel optimisation approach for the realisation problem in intensity modulated radiotherapy treatment planning
Recommended article: Intensity-modulated radiotherapy -- a large scale multi-criteria programming problem
description: scientific article; zbMATH DE number 5573325