Sensitivity analysis in linear programming studies the stability of optimal solutions and the optimal objective value with respect to perturbations in the input data. This analysis is often relevant in practical applications. We discuss the main approaches to sensitivity analysis, including ordinary sensitivity, the 100% rule, and the tolerance approach, giving special attention to degeneracy issues. We focus on the effects of perturbations in the right-hand side and objective vectors.

Sensitivity analysis in linear programming

FILIPPI, Carlo
2011-01-01

Abstract

Sensitivity analysis in linear programming studies the stability of optimal solutions and the optimal objective value with respect to perturbations in the input data. This analysis is often relevant in practical applications. We discuss the main approaches to sensitivity analysis, including ordinary sensitivity, the 100% rule, and the tolerance approach, giving special attention to degeneracy issues. We focus on the effects of perturbations in the right-hand side and objective vectors.
2011
Ateneo di appartenenza
Wiley Encyclopedia of Operations Research and Management Science
James J. Cochran
Nessuno
Inglese
Internazionale
-
-
978-0-470-40063-0
Wiley
sensitivity analysis; linear programming; 100perc rule; tolerance approach
http://onlinelibrary.wiley.com/doi/10.1002/9780470400531.eorms0760/abstract
2 Contributo in Volume::2.1 Contributo in volume (Capitolo o Saggio)
1
268
none
Filippi, Carlo
info:eu-repo/semantics/bookPart
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/8451
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 11
  • ???jsp.display-item.citation.isi??? ND
social impact