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Some Recent Advances in Network Flows

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dc.creator Ahuja, Ravindra K., 1956-
dc.creator Magnanti, Thomas L.
dc.creator Orlin, James B., 1953-
dc.date 2004-05-28T19:26:58Z
dc.date 2004-05-28T19:26:58Z
dc.date 1989-10
dc.date.accessioned 2013-10-09T02:38:14Z
dc.date.available 2013-10-09T02:38:14Z
dc.date.issued 2013-10-09
dc.identifier http://hdl.handle.net/1721.1/5184
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description The literature on network flow problems is extensive, and over the past 40 years researchers have made continuous improvements to algorithms for solving several classes of problems. However, the surge of activity on the algorithmic aspects of network flow problems over the past few years has been particularly striking. Several techniques have proven to be very successful in permitting researchers to make these recent contributions: (i) scaling of the problem data; (ii) improved analysis of algorithms, especially amortized average case performance and the use of potential functions; and (iii) enhanced data structures. In this survey, we illustrate some of these techniques and their usefulness in developing faster network flow algorithms. Our discussion focuses on the design of faster algorithms from the worst case perspective and we limit our discussion to the following fundamental problems: the shortest path problem, the maximum flow problem, and the minimum cost flow problem. We consider several representative algorithms from each problem class including the radix heap algorithm for the shortest path problem, preflow push algorithms for the maximum flow problem, and the pseudoflow push algorithms for the minimum cost flow problem.
dc.format 4937041 bytes
dc.format application/pdf
dc.language en_US
dc.publisher Massachusetts Institute of Technology, Operations Research Center
dc.relation Operations Research Center Working Paper;OR 203-89
dc.title Some Recent Advances in Network Flows
dc.type Working Paper


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