• About
  • Policies
  • What is open access
  • Library
  • Contact
Advanced search
      View Item 
      •   BUIR Home
      • University Library
      • Bilkent Theses
      • Theses - Department of Industrial Engineering
      • Dept. of Industrial Engineering - Master's degree
      • View Item
      •   BUIR Home
      • University Library
      • Bilkent Theses
      • Theses - Department of Industrial Engineering
      • Dept. of Industrial Engineering - Master's degree
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

      A New approach in the maximum flow problem

      Thumbnail
      View / Download
      1.1 Mb
      Author(s)
      Eren, Aysen
      Advisor
      Akgül, Mustafa
      Date
      1989
      Publisher
      Bilkent University
      Language
      English
      Type
      Thesis
      Item Usage Stats
      197
      views
      114
      downloads
      Abstract
      In this study, we tried to approach the maximum flow problem from a different point of view. This effort has led us to the development of a new maximum flow algorithm. The algorithm is based on the idea that when initial quasi-flow on each edge of the graph is equated to the upper capacity of the edge, it violates node balance equations, while satisfying capacity and non-negativity constraints. In order to obtain a feasible and optimum flow, quasi-flow on some of the edges have to be reduced. Given an initial quasi-flow, positive and negative excess, and, balanced nodes are determined. Algorithm reduces excesses of unbalanced nodes to zero by finding residual paths joining positive excess nodes to negative excess nodes and sending excesses along these paths. Minimum cut is determined first, and then maximum flow of the given cut is found. Time complexity of the algorithm is o(n^m). The application of the modified version of the Dynamic Tree structure of Sleator and Tarjan reduces it to o(nmlogn).
      Permalink
      http://hdl.handle.net/11693/17247
      Collections
      • Dept. of Industrial Engineering - Master's degree 355
      Show full item record

      Browse

      All of BUIRCommunities & CollectionsTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartmentsCoursesThis CollectionTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartmentsCourses

      My Account

      Login

      Statistics

      View Usage StatisticsView Google Analytics Statistics

      Bilkent University

      If you have trouble accessing this page and need to request an alternate format, contact the site administrator. Phone: (312) 290 2976
      © Bilkent University - Library IT

      Contact Us | Send Feedback | Off-Campus Access | Admin | Privacy