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We propose a unifying framework based on configuration linear programs and randomized rounding , for different energy optimization problems in the dynamic speed-scaling setting. We apply our framework to various scheduling and routing problems in heterogeneous computing and networking environments. We first consider the energy minimization problem of… (More)

In this paper the process of data transmission in optical communication networks is modeled as a shop-type scheduling problem , where channels (wavelengths) are treated as machines. We formulate an Open Block problem with the minimum makespan objective (an OB||C max problem) in which a relation of a new type between the operations of each job is introduced:… (More)

In a bounded max-coloring of a vertex/edge weighted graph, each color class is of cardinality at most b and of weight equal to the weight of the heaviest vertex/edge in this class. The bounded max-vertex/edge-coloring problems ask for such a coloring minimizing the sum of all color classes' weights. In this paper we present complexity results and… (More)