A new algorithm to solve the minimum cost flow problem

Publish Year: 1391
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:

IIEC09_066

تاریخ نمایه سازی: 26 اسفند 1391

Abstract:

In this paper, we present a new approach to solve the minimum cost flow problem using the out-of-kilter idea. Our algorithm uses Minty's Lemma to transform all the out-of-kilterarcs into in-kilter arcs. This algorithm gives a geometrical explanation to the optimality concept. For a network with nnodes and m arcs, the algorithm performs O(log(nU)) phases and runs in O(m(m+n log n)log (nU)) time (where U is the largest absolute arc bound ), which is O(m(m+n log n) log n) under thesimilarity assumption[1]. This time is the running time of the algorithm in [2] which is the best strongly polynomial-time algorithms to solve this problem.

Authors

Mehdi Ghiyasvand

Bu-Ali Sina University