{"id":17836,"date":"2025-07-16T23:49:48","date_gmt":"2025-07-16T21:49:48","guid":{"rendered":"https:\/\/www2.mie.uth.gr\/?page_id=17836"},"modified":"2025-10-24T21:35:14","modified_gmt":"2025-10-24T18:35:14","slug":"%ce%bf%cf%801300-mathematical-programming-compulsory-type-3","status":"publish","type":"page","link":"https:\/\/mie.uth.gr\/?page_id=17836&lang=en","title":{"rendered":"\u039f\u03a01300\u00a0Mathematical Programming (Core 3)"},"content":{"rendered":"\t\t
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\u039f\u03a01300 MATHEMATICAL PROGRAMMING (CORE 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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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\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><\/p>

Instructor<\/strong><\/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
Core 3
\u039f\u03a01300
4th (Spring)
5 hours\/week
6
Production Management and Industrial Administration<\/p>


Kozanidis 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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Course Category: <\/strong>Undergraduate
Course Type: <\/strong>Core 3
Secretary Code: <\/strong>\u039f\u03a01300
Semester: <\/strong>4th (Spring)
Duration: <\/strong>5 hours\/week
ECTS Units:\u00a0<\/strong>6
Sector\u03c2:<\/strong> Production Management and Industrial Administration
Instructor: <\/strong>\u039aozanidis 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 requires an understanding of basic concepts of linear programming and its objective is to introduce the students to the key methodologies of non-linear and dynamic programming. The focus is on understanding various optimization techniques and on learning the theory upon which these techniques rely. After the end of the class, the students will be familiar with the development of the necessary skills for formulating related problems, using advanced tools to solve them, and comparing alternative solutions.<\/p><\/div>\n\t\t\t\t\t<\/div>

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<\/i>Syllabus<\/span><\/div>
  • Review of linear programming<\/strong><\/span>.<\/li>
  • Introduction to nonlinear programming<\/strong><\/span> – Convexity of functions and sets.<\/li>
  • Problems without constraints.<\/strong><\/span><\/li>
  • Problems with constraints<\/span>.<\/strong><\/li>
  • Lagrange multipliers<\/strong><\/span> – Karush Kuhn<\/li>
  • Tucker optimality conditions.<\/strong><\/span><\/li>
  • Dynamic Programming<\/strong><\/span> – The Principle of Bellman Optimality conditions.<\/li>
  • Problems with a finite horizon<\/strong><\/span> – Problems with an infinite horizon.<\/li><\/ul><\/div>\n\t\t\t\t\t<\/div>
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    <\/i>Prerequisite Courses<\/span><\/div>
    There are no prerequisite courses. It is recommended that students who are\ninterested in attending the course have completed successfully the following course: Linear\nProgramming.<\/div>\n\t\t\t\t\t<\/div>
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    <\/i>Literature<\/span><\/div>

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

    • \u0392\u03b1\u03c3\u03b9\u03bb\u03b5\u03af\u03bf\u03c5 \u03a0.\u03a7., \u0393\u03b5\u03c9\u03c1\u03b3\u03af\u03bf\u03c5 \u0391. (1996). \u039c\u03b7 \u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ad\u03c2 \u039c\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u0392\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2. \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u0396\u03ae\u03c4\u03b7,
      \u0398\u03b5\u03c3\u03c3\u03b1\u03bb\u03bf\u03bd\u03af\u03ba\u03b7.<\/li>
    • \u039b\u03c5\u03bc\u03c0\u03b5\u03c1\u03cc\u03c0\u03bf\u03c5\u03bb\u03bf\u03c2 \u0393, \u0396\u03b7\u03bb\u03b9\u03b1\u03c3\u03ba\u03cc\u03c0\u03bf\u03c5\u03bb\u03bf\u03c2 \u0391. (2005). \u0398\u03b5\u03c9\u03c1\u03af\u03b1 \u0392\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2. \u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03b9\u03b1\u03ba\u03ad\u03c2 \u03a3\u03b7\u03bc\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9\u03c2, \u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03b9\u03b1\u03ba\u03ad\u03c2 \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u0398\u03b5\u03c3\u03c3\u03b1\u03bb\u03af\u03b1\u03c2.<\/li>
    • \u039e\u03b7\u03c1\u03cc\u03ba\u03c9\u03c3\u03c4\u03b1\u03c2 \u0394. (1999). \u0395\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae \u0388\u03c1\u03b5\u03c5\u03bd\u03b1 \u2010 \u039c\u03b7 \u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc\u03c2 \u03ba\u03b1\u03b9 \u0394\u03c5\u03bd\u03b1\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 \u03a3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1, \u0391\u03b8\u03ae\u03bd\u03b1.<\/li>
    • Hillier F.S., Lieberman G.J. (2001). Introduction to Operations Research. McGraw\u2010Hill.<\/li>
    • Taha H., (2011). Introduction to Operations Research. \u039c\u03b5\u03c4\u03ac\u03c6\u03c1\u03b1\u03c3\u03b7 \u03c3\u03c4\u03b1 \u03b5\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03ac, \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u0391. \u03a4\u03b6\u03b9\u03cc\u03bb\u03b1 & \u03a5\u03b9\u03bf\u03af \u039f.\u0395.<\/li>
    • Winston W.L., Venkataramanan M.(2002). Introduction to Mathematical Programming. Duxbury Press<\/li><\/ul>

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

      \u2010 Annals of Operations Research
      \u2010 Computational Optimization and Applications
      \u2010Computers and Industrial Engineering
      \u2010 Computers and Operations Research
      \u2010 Discrete Optimization
      \u2010 Engineering Optimization
      \u2010 European Journal of Industrial Engineering
      \u2010 European Journal of Operational Research
      \u2010 INFORMS Journal on Computing
      \u2010 International Transactions in Operational Research
      \u2010 Journal of Global Optimization
      \u2010 Journal of Industrial and Management Optimization
      \u2010 Journal of Optimization Theory and Applications
      \u2010 Journal of the Operational Research Society
      \u2010 Management Science
      \u2010 Mathematical and Computer Modelling
      \u2010 Mathematical Methods of Operations Research<\/p><\/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>

      \n\t\t\t\t\t
      <\/i>Teaching Methods<\/span><\/div>

      Lectures and Practical Exercises<\/p><\/div>\n\t\t\t\t\t<\/div>

      \n\t\t\t\t\t
      <\/i>Student Performance Evaluation<\/span><\/div>
      Written Final Exams<\/strong><\/td>60%<\/td><\/tr>
      Midterm<\/strong><\/td>30%<\/td><\/tr>
      Homework<\/strong><\/td>10%<\/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>
      Activity<\/strong><\/td>Semester Workload<\/strong><\/td><\/tr>
      Lectures<\/td>70<\/td><\/tr>
      Self evaluating exercises<\/td>30<\/td><\/tr>
      Autonomous work<\/td>50<\/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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