Inverse Parametric Linear/quadratic Programming Problem for Continuous PWA Functions Defined on Polyhedral Partitions of Polyhedra - CentraleSupélec Access content directly
Preprints, Working Papers, ... Year : 2016

Inverse Parametric Linear/quadratic Programming Problem for Continuous PWA Functions Defined on Polyhedral Partitions of Polyhedra

Abstract

Constructive solution to inverse parametric linear/quadratic programming problems has recently been investigated and shown to be solvable via convex liftings [15], [14]. These results were stated and solved starting from polytopic partitions of a polytope in the parameter space. Therefore, the case of polyhedral partitions of unbounded polyhedra, was not handled by this method and deserves a complete characterization to address the general inverse optimality problem. This paper has as main objective to overcome the unboundedness limitation of the given polyhedral partition and to extend the constructive solution put forward in [14] for this omitted case.

Domains

Automatic
Fichier principal
Vignette du fichier
IPLQP unbounded.pdf (390.58 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01259895 , version 1 (20-06-2016)

Identifiers

  • HAL Id : hal-01259895 , version 1

Cite

Ngoc Anh Nguyen, Pedro Rodriguez-Ayerbe, Sorin Olaru. Inverse Parametric Linear/quadratic Programming Problem for Continuous PWA Functions Defined on Polyhedral Partitions of Polyhedra. 2016. ⟨hal-01259895⟩
210 View
118 Download

Share

Gmail Facebook X LinkedIn More