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Many optimization problems that frequently arise and have been extensively used in practice are modeled as linear mixed-integer programming problems. Among the many of such problems are transportation and assignment problems. In such problems, constraints that couple decision variables can be viewed as hyperplanes in their respective spaces. These hyperplanes frequently intersect at different angles...
In the Payment Cost Minimization (PCM) mechanism [4] payment costs are minimized directly, thus the payment costs that results from selected offers can be significantly reduced compared to the costs obtained by minimizing total bid costs. The PCM can be solved efficiently using standard LP software packages (e.g., CPLEX) only for a limited number of offers. Lagrangian relaxation (LR) has been a powerful...
A novel MR (magnetic resonance) image segmentation algorithm has been implanted for tissue classification. The original image is first split into two subimages to minimize a specified cost function. Each image is then split into two smaller subimages and this procedure is repeated for several levels. Finally subimages are merged into desired number of groups according to a measure of the distance...
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