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Warm-start cuts for Generalized Benders Decomposition

Jakub Kůdela, Pavel Popela (2017)

Kybernetika

In this paper, we describe a decomposition algorithm suitable for two-stage convex stochastic programs known as Generalized Benders Decomposition. For this algorithm we propose a new reformulation that incorporates a lower bound cut that serves as a warm-start, decreasing the overall computation time. Additionally, we test the performance of the proposed reformulation on two modifications of the algorithm (bunching and multicut) using numerical examples. The numerical part is programmed in MATLAB...

Weighted Elastic Net Model for Mass Spectrometry Imaging Processing

D. Hong, F. Zhang (2010)

Mathematical Modelling of Natural Phenomena

In proteomics study, Imaging Mass Spectrometry (IMS) is an emerging and very promising new technique for protein analysis from intact biological tissues. Though it has shown great potential and is very promising for rapid mapping of protein localization and the detection of sizeable differences in protein expression, challenges remain in data processing due to the difficulty of high dimensionality and the fact that the number of input variables in...

Weighted means and weighting functions

Radko Mesiar, Jana Špirková (2006)

Kybernetika

We present some properties of mixture and generalized mixture operators, with special stress on their monotonicity. We introduce new sufficient conditions for weighting functions to ensure the monotonicity of the corresponding operators. However, mixture operators, generalized mixture operators neither quasi-arithmetic means weighted by a weighting function need not be non- decreasing operators, in general.

Weighted scalarization related to L p -metric and pareto optimality

Alexandra Šipošová (2008)

Kybernetika

Relations between (proper) Pareto optimality of solutions of multicriteria optimization problems and solutions of the minimization problems obtained by replacing the multiple criteria with L p -norm related functions (depending on the criteria, goals, and scaling factors) are investigated.

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