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      • Bilkent Theses
      • Theses - Department of Industrial Engineering
      • Dept. of Industrial Engineering - Master's degree
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      Essays on some combinatorial optimization problems with interval data

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      Author
      Yaman, Hande
      Advisor
      Pınar, Mustafa Ç.
      Date
      1999
      Publisher
      Bilkent University
      Language
      English
      Type
      Thesis
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      Abstract
      In this study, we investigate three well-known problems, the longest path problem on directed acyclic graphs, the minimum spanning tree problem and the single machine scheduling problem with total flow time criterion, where the input data for all problems are given as interval numbers. Since optimal solutions depend on the realization of the data, we define new optimality concepts to aid decision making. VVe present characterizations for these “optimal” solutions and suggest polynomial time algorithms to find them in some special cases.
      Keywords
      Longest Path Problem on Directed Acyclic Graphs
      Polynomial Time Algorithms
      Interval Data
      Single Machine Scheduling Problem with Total Flow Time Criterion
      Minimum Spanning Tree Problem
      Permalink
      http://hdl.handle.net/11693/18114
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      • Dept. of Industrial Engineering - Master's degree 326
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