On a class of interval data minmax regret CO problems

A Candia-Véjar, E Álvarez-Miranda - … 2007: Selected Papers of the Annual …, 2008 - Springer
Some remarks about the Kasperski and Zielinski approximation algorithm for a class of
interval data minmax regret combinatorial optimization problems (Algorithm K&Z) are …

A 2-approximation for minmax regret problems via a mid-point scenario optimal solution

E Conde - Operations Research Letters, 2010 - Elsevier
In this note, a 2-approximation method for minmax regret optimization problems is
developed which extends the work of Kasperski and Zielinski [A. Kasperski, P. Zielinski, An …

An approximation algorithm for interval data minmax regret combinatorial optimization problems

A Kasperski, P Zieliński - Information Processing Letters, 2006 - Elsevier
The general problem of minimizing the maximal regret in combinatorial optimization
problems with interval data is considered. In many cases, the minmax regret versions of the …

On the existence of an FPTAS for minmax regret combinatorial optimization problems with interval data

A Kasperski, P Zieliński - Operations Research Letters, 2007 - Elsevier
The general problem of minimizing the maximal regret in combinatorial optimization
problems with interval costs is considered. Some results are proven that allow to obtain a …

Minmax regret combinatorial optimization problems: an algorithmic perspective

A Candia-Véjar, E Alvarez-Miranda… - RAIRO-Operations …, 2011 - cambridge.org
Uncertainty in optimization is not a new ingredient. Diverse models considering uncertainty
have been developed over the last 40 years. In our paper we essentially discuss a particular …

[HTML][HTML] A linear programming based heuristic framework for min-max regret combinatorial optimization problems with interval costs

L Assunção, TF Noronha, AC Santos… - Computers & Operations …, 2017 - Elsevier
This work deals with a class of problems under interval data uncertainty, namely interval
robust-hard problems, composed of interval data min-max regret generalizations of classical …

A double oracle approach to minmax regret optimization problems with interval data

H Gilbert, O Spanjaard - European Journal of Operational Research, 2017 - Elsevier
In this paper, we provide a generic anytime lower bounding procedure for minmax regret
optimization problems. We show that the lower bound obtained is always at least as …

Some tractable instances of interval data minmax regret problems

B Escoffier, J Monnot, O Spanjaard - Operations research letters, 2008 - Elsevier
In this paper, we provide polynomial and pseudopolynomial algorithms for classes of
particular instances of interval data minmax regret graph problems. These classes are …

Minmax regret linear resource allocation problems

I Averbakh - Operations Research Letters, 2004 - Elsevier
For minmax regret versions of some basic resource allocation problems with linear cost
functions and uncertain coefficients (interval-data case), we present efficient (polynomial …

Problem Formulation

A Kasperski, A Kasperski - … Optimization with Interval Data: Minmax Regret …, 2008 - Springer
Contents We start this chapter by recalling the formulation of a deterministic combinatorial
optimization problem, that is the one in which all the input parameters are precisely known …