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Titlebook: Approximation and Online Algorithms; 16th International W Leah Epstein,Thomas Erlebach Conference proceedings 2018 Springer Nature Switzerl

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Springer Tracts in Modern Physicsthis result to develop the first virtualized services placement algorithm that accounts for dynamic changes. Our tri-criteria approximation algorithms provide constant approximation factors with respect to the overall performance and size constraints, and logarithmic approximation factors with respect to capacity constraints.
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Improved Approximation Algorithms for Minimum Power Covering Problemsieve ratio 73 / 60, and in addition give a simple efficient combinatorial algorithm with ratio 5 / 4. For all these NP-hard problems the previous best known ratio was 3 / 2. In the related . problem, . should contain a path from every . to some node in .. We obtain ratio 3 / 2 for this NP-hard problem, improving the trivial ratio of 2.
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DISPATCH: An Optimally-Competitive Algorithm for Maximum Online Perfect Bipartite Matching with i.i.lable. The preferred worker is determined based on an optimal solution to a fractional transportation problem. If the preferred worker is not available, . randomly selects a worker from the available workers. We show that . maintains a uniform distribution over the workers even when the distribution over the job types is non-uniform.
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