Non-linear integer programming: Sensitivity analysis for branch and bound
Copyright policy )Non-linear integer programming: Sensitivity analysis for branch and bound
We consider the nonlinear integer programming problem with varying right hand side and objective function coefficients. We establish what additional information to keep in the implicit enumeration tree, when solving the original problem, in order to provide us with bounds on the optimal value of a perturbed problem. The results obtained are extensions of the results given by \textit{L. Schrage} and \textit{L. Wolsey} [Oper. Res. 33, 1008-1023 (1985; Zbl 0583.90074)] for linear integer programs.
perturbed problem, nonlinear integer programming, sensitivity analysis, Nonlinear programming, branch and bound, Sensitivity, stability, parametric optimization, Integer programming, implicit enumeration tree
perturbed problem, nonlinear integer programming, sensitivity analysis, Nonlinear programming, branch and bound, Sensitivity, stability, parametric optimization, Integer programming, implicit enumeration tree
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).19 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!