Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
Monge and feasibility sequences in general flow problems
Discrete Applied Mathematics
Fast algorithms for parametric scheduling come from extensions to parametric maximum flow
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
Perspectives of Monge properties in optimization
Discrete Applied Mathematics
Characterization and algorithms for greedily solvable transportation problems
SODA '90 Proceedings of the first annual ACM-SIAM symposium on Discrete algorithms
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
PQ-tree algorithms.
Newton's method for fractional combinatorial optimization
SFCS '92 Proceedings of the 33rd Annual Symposium on Foundations of Computer Science
Efficient minimum cost matching using quadrangle inequality
SFCS '92 Proceedings of the 33rd Annual Symposium on Foundations of Computer Science
Journal of Computer and System Sciences
An O(n log n) algorithm for the convex bipartite matching problem
Operations Research Letters
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Bipartite network flow problems naturally arise in applications such as selective assembly and preemptive scheduling. This paper presents fast algorithms for these problems that take advantage of special properties of the associated bipartite networks. We show a connection between selective assembly and the earliest due date (EDD) scheduling rule, and we show that EDD can be implemented in linear time when the data are already sorted. Our main result uses a Monge property to get a linear-time algorithm for selective assembly with a monotone convex loss function.