A cost-scaling algorithm for 0–1 submodular flows
✍ Scribed by Maiko Shigeno; Satoru Iwata
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 820 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0166-218X
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✦ Synopsis
This paper presents a cost-scaling algorithm for minimum cost O-l submodular flows. The algorithm works by splitting the arc costs approximately and maintaining an optimal submodular pseudoflow with respect to the split costs obtained by a greedy algorithm. Each scaling phase of the algorithm is a hybrid version of an auction-like method with cost-splitting and a successiveshortest-path method, as a generalization of Orlin and Ahuja's algorithm for the assignment problem.
📜 SIMILAR VOLUMES
In this paper, we focus on the quadratic cost 01 mixed integer programming problem. First, we formulate the problem as a two-level programming problem that consists of a lower-level continuous quadratic programming problem with 01 variables fixed and an upper-level nonlinear 01 programming problem.
## Abstract The constrained maximum flow problem is to send the maximum possible flow from a source node s to a sink node t in a directed network subject to a budget constraint that the cost of flow is no more than __D__. In this paper, we consider two versions of this problem: (i) when the cost of