Interval Multiobjective Linear Programming

Milan Hladík
Additional contact information
Milan Hladík: Charles University

Chapter Chapter 13 in Interval Linear Programming and Extensions, 2025, pp 377-402 from Springer

Abstract: Abstract We consider a multiobjective LP problem with interval cost matrix and fixed constraints; that is, interval uncertainty affects the objectives only. There are two natural concepts of efficiency of a solution in this case: necessary and possibly efficiency (i.e., efficiency for all or for at least one realization, respectively). We characterize these situations and present various properties, including computational complexity (the former is hard, while the latter is polynomial). As a related issue, we apply the interval methodology to a sensitivity analysis for a real-valued problem: the tolerance approach to sensitivity analysis gives ranges for the cost coefficient, in which all of them can independently vary while preserving efficiency of a given solution.

Date: 2025
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-85096-7_13

Ordering information: This item can be ordered from
http://www.springer.com/9783031850967

DOI: 10.1007/978-3-031-85096-7_13

Access Statistics for this chapter

More chapters in Springer Optimization and Its Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().