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In such cases, the fastest known shortest-path algorithm doesn’t work. For decades, fast algorithms for finding shortest paths on negative-weight graphs have remained elusive.
The paper considers a project scheduling problem in weighted directed graphs in which arcs represent operations while nodes are identified with starting and finishing endpoints of the operations; arc ...
One formulation of the machine sequencing problem is that of finding a minimaximal path in a disjunctive graph. This paper describes an implicit enumeration procedure that solves the problem by ...