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T-1 Stability Measures for Multicriteria Quadratic Integer Programming Problem of Finding Extremum Solutions

Vladimir Emelichev, Yury Nikulin, T-1 Stability Measures for Multicriteria Quadratic Integer Programming Problem of Finding Extremum Solutions. TUCS Technical Reports 1194, TUCS, 2018.

Abstract:

We consider a wide class of quadratic optimization problems with integer and Boolean variables. In this paper, the lower and upper bounds on the strong stability radius of the set of extremum solutions are obtained in the situation where solution space and criterion space are endowed with various Hölder's norms.

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BibTeX entry:

@TECHREPORT{tEmNi18a,
  title = {T-1 Stability Measures for Multicriteria Quadratic Integer Programming Problem of Finding Extremum Solutions},
  author = {Emelichev, Vladimir and Nikulin, Yury},
  number = {1194},
  series = {TUCS Technical Reports},
  publisher = {TUCS},
  year = {2018},
  keywords = {Boolean programming, quadratic problem, multicriteria optimization, Pareto set, stability},
}

Belongs to TUCS Research Unit(s): Turku Optimization Group (TOpGroup)

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