Titlebook: Generalized Network Improvement and Packing Problems; Michael Holzhauser Book 2016 Springer Fachmedien Wiesbaden GmbH 2016 Computational C

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Convex Generalized Flows,he outflow of an edge is a strictly increasing convex function of its inflow. In contrast to the traditional generalized maximum flow problem, which is solvable in polynomial time as shown in Section?2.4, we show that the problem becomes NP-hard to solve and approximate in this novel setting. Nevert

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Conclusion,e extensions of the traditional maximum flow and minimum cost flow problem and revealed a strong connection to a novel variant of the bounded knapsack problem. For all of these problems, we both presented exact algorithms and investigated their approximability under involvement of a diverse set of g

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978-3-658-16811-7Springer Fachmedien Wiesbaden GmbH 2016

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The Electronic Media and British Dramaine the underlying model of computation. Moreover, we introduce the most common network flow problems that will be used and extended throughout the thesis and define the notion of approximation algorithms. In the very most cases, we comply with standard notations and definitions, so the familiar reader may skip parts of this chapter at will.

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Conclusion,e extensions of the traditional maximum flow and minimum cost flow problem and revealed a strong connection to a novel variant of the bounded knapsack problem. For all of these problems, we both presented exact algorithms and investigated their approximability under involvement of a diverse set of graph classes.