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In this note we study the complexity of the tool switching problem with non-uniform tool sizes. More specifically, we consider the problem where the job sequence is given as part of the input. We show that the resulting tooling problem is strongly NP-complete, even in case of unit loading and unloading costs. However, we show that if the capacity of the… (More)

Classical measures of network connectivity are the number of disjoint paths between a pair of nodes, and the size of a minimum cut. For standard graphs, these measures can be computed efficiently using network flow techniques. However, in the Internet on the level of Autonomous Systems (ASs), referred to as AS-level Inter-net, routing policies impose… (More)

The problem of partitioning a partially ordered set into a minimum number of chains is a well-known problem. In this paper we study a generalization of this problem, where we not only assume that the chains have bounded size, but also that a weight w i is given for each element i in the partial order such that w i ≤ w j if i ≺ j. The problem is then to… (More)

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