{"id":18352,"date":"2025-07-19T15:07:24","date_gmt":"2025-07-19T13:07:24","guid":{"rendered":"https:\/\/www2.mie.uth.gr\/?page_id=18352"},"modified":"2025-10-24T21:40:55","modified_gmt":"2025-10-24T18:40:55","slug":"%ce%bf%cf%803400-integer-programming-and-combinatorial-optimization-core-elective-production-management-track","status":"publish","type":"page","link":"https:\/\/mie.uth.gr\/?page_id=18352&lang=en","title":{"rendered":"\u039f\u03a03400\u00a0Integer Programming and Combinatorial Optimization (Compulsory Course 3)"},"content":{"rendered":"\t\t
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\u039f\u03a03400 INTEGER PROGRAMMING AND COMBINATORIAL OPTIMIZATION (COMPULSORY COURSE 3)<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u039f\u03a03400 INTEGER PROGRAMMING AND COMBINATORIAL OPTIMIZATION (COMPULSORY COURSE 3)<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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Course Information<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t
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Course Outline<\/a><\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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\u03a0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b5\u03c2 \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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\u03a0\u03b5\u03c1\u03af\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1 \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2<\/a><\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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Course Category<\/strong>
Course Type<\/strong>
Secretary Code<\/strong>
Semester<\/strong>
Duration<\/strong>
ECTS Units
Sector
<\/strong>
<\/strong><\/span><\/p>

Instructor<\/strong><\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t

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Undergraduate
Compulsory Course 3
\u039f\u03a03400
6th (Spring)
5 hours\/week
6
Production Management and Industrial Administration<\/p>

Saharidis Georgios<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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Course Category: <\/strong>Undergraduate
Course Type: <\/strong>Compulsory Core 3
Secretary Code: <\/strong>\u039f\u03a03400
Semester: <\/strong>6th (Spring)
Duration: <\/strong>5 hours\/week
ECTS Units:\u00a0<\/strong>6
Sector:<\/strong>Production Management and Industrial Administration
Instructor: <\/strong>Saharidis Georgios<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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<\/i>Aim<\/span><\/div>

This course aims to provide undergraduate students with all the necessary knowledge that will enable them to understand the fundamentals of Integral Programming and Combinatorial Optimization, how to model realistic problems in engineering, as well as the structure of algorithms in order to solve them.<\/p><\/div>\n\t\t\t\t\t<\/div>

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<\/i>Syllabus<\/span><\/div>
  • Modeling and solution approaches for mixed integer linear programming problems.<\/li>
  • Intelligent uses of binary variables in modeling approaches.<\/li>
  • Branch and bound solution method for mixed integer linear problems.<\/li>
  • Cutting planes method.<\/li>
  • Design and analysis of combinatorial optimization algorithmic approaches.<\/li>
  • Complexity of algorithms.<\/li>
  • Applications to networks and graphs. Problem solving using local optimization techniques, dynamic programming, myopic algorithms, approximations and heuristic methods.<\/li><\/ul><\/div>\n\t\t\t\t\t<\/div>
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    <\/i>Literature<\/span><\/div>

    Suggested Literature :<\/strong><\/span><\/p>

    Books in Greek<\/strong><\/span><\/p>

    • \u0392\u03b1\u03c3\u03b9\u03bb\u03b5\u03af\u03bf\u03c5 \u03a0.\u03a7., (2001). \u0395\u03c6\u03b1\u03c1\u03bc\u03bf\u03c3\u03bc\u03ad\u03bd\u03bf\u03c2 \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 \u03a0\u03c1\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03cc\u03c2. \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u0396\u03ae\u03c4\u03b7.<\/li>
    • \u039c\u03b7\u03bb\u03b9\u03ce\u03c4\u03b7\u03c2 \u03a0., (1998). \u03a3\u03c5\u03bd\u03b4\u03c5\u03b1\u03c3\u03c4\u03b9\u03ba\u03ae \u0392\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7. \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a3\u03c4\u03b1\u03bc\u03bf\u03cd\u03bb\u03b7.<\/li>
    • \u03a0\u03c1\u03b1\u03c3\u03c4\u03ac\u03ba\u03bf\u03c2 \u0393., (2000). \u0394\u03b9\u03bf\u03b9\u03ba\u03b7\u03c4\u03b9\u03ba\u03ae \u0395\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b7: \u039b\u03ae\u03c8\u03b7 \u0395\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ce\u03bd \u0391\u03c0\u03bf\u03c6\u03ac\u03c3\u03b5\u03c9\u03bd \u03c3\u03c4\u03b7\u03bd \u039a\u03bf\u03b9\u03bd\u03c9\u03bd\u03af\u03b1 \u03c4\u03b7\u03c2
      \u03a0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b1\u03c2. \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a3\u03c4\u03b1\u03bc\u03bf\u03cd\u03bb\u03b7.<\/li>
    • \u03a3\u03af\u03c3\u03ba\u03bf\u03c2 \u0393., (2000). \u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc\u03c2 \u03a0\u03c1\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03cc\u03c2. \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u039d\u03ad\u03c9\u03bd \u03a4\u03b5\u03c7\u03bd\u03bf\u03bb\u03bf\u03b3\u03b9\u03ce\u03bd.<\/li><\/ul>

      Books in English:<\/strong><\/span><\/p>

      • Nemhauser G.L. and Wolsey L.A., (1988). Integer and Combinatorial Optimization. John Wiley & Sons.<\/li>
      • Cook W.J., Schrijver A., Cunningham W.H. and Pulleyblank W.R., (1997). Combinatorial Optimization.
        John Wiley & Sons.<\/li>
      • Schrijver A., (1998). Theory of Linear and Integer Programming. John Wiley & Sons.<\/li>
      • Papadimitriou C.H. and Steiglitz K., (1998). Combinatorial Optimization: Algorithms and Complexity.
        Dover Publications.<\/li>
      • Wolsey L.A., (1998). Integer Programming. John Wiley & Sons.<\/li><\/ul>

        Related Academic Journals:<\/strong><\/span><\/p>

        • \u00a0Operational Research<\/li>
        • OR spectrum<\/li>
        • Global Optimization<\/li>
        • Mathematical Programming<\/li>
        • Annals of OR<\/li><\/ul><\/div>\n\t\t\t\t\t<\/div>
          \n\t\t\t\t\t
          <\/i>Teaching Language<\/span><\/div>

          Greek<\/p><\/div>\n\t\t\t\t\t<\/div>

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          <\/i>Teaching Method<\/span><\/div>

          Lectures<\/p><\/div>\n\t\t\t\t\t<\/div>

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          <\/i>Student Performance Evaluation<\/span><\/div>
          Written Final Exams<\/strong><\/td>70%<\/td><\/tr>
          Homework<\/strong><\/td>30%<\/td><\/tr><\/tbody><\/table><\/div>\n\t\t\t\t\t<\/div>
          \n\t\t\t\t\t
          <\/i>Workload (in hours)<\/span><\/div>

          \u00a0<\/h3>

          \u00a0<\/p>
          Activity<\/strong><\/td>Semester workload<\/strong><\/td><\/tr>
          Lectures<\/td>70<\/td><\/tr>
          Homework<\/td>35<\/td><\/tr>
          Studying at home<\/td>45<\/td><\/tr>
          Course Total<\/strong><\/td>150<\/strong><\/td><\/tr><\/tbody><\/table>

          \u00a0<\/h3>

          \u00a0<\/h3><\/div>\n\t\t\t\t\t<\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

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