{"id":17802,"date":"2025-07-16T22:35:22","date_gmt":"2025-07-16T20:35:22","guid":{"rendered":"https:\/\/www2.mie.uth.gr\/?page_id=17802"},"modified":"2026-09-04T11:34:55","modified_gmt":"2026-09-04T08:34:55","slug":"%ce%bf%cf%800500-linear-programming-compulsory-type-3","status":"publish","type":"page","link":"https:\/\/mie.uth.gr\/?page_id=17802&lang=en","title":{"rendered":"\u039f\u03a00500\u00a0Linear Programming (Core 3)"},"content":{"rendered":"\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

\u039f\u03a00500 LINEAR 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
\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

\u039f\u03a00500 LINEAR PROGRAMMING (CORE 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
\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

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
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

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

\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

\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
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

\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

\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\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
\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

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

\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

Undergraduate
Core 3
\u039f\u03a00500
3rd (Winter)
5 hours\/week
6
Production Management and Industrial Administration<\/p>

\u039aozanidis Georgios<\/span><\/strong><\/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

\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

Course Category\u03c2: <\/strong>Undergraduate
Course Type\u03c2: <\/strong>\u03a53
Secretary Code\u03c2: <\/strong>\u039f\u03a00500
Semester: <\/strong>3rd (Winter)
Duration: <\/strong>5 hours\/week
ECTS Units:\u00a0<\/strong>6
Sector:<\/strong> Production Management and Industrial Administration
Instructor: Kozanidis Georgios<\/span><\/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\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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

The goal of this course is to introduce the students to the theory of optimization and to familiarize them with the basic concepts of linear programming as well as its relevant applications.<\/p><\/div>\n\t\t\t\t\t<\/div>

\n\t\t\t\t\t
<\/i>Syllabus<\/span><\/div>
  • Review of linear algebra.<\/li>
  • Categorization and formulation of optimization problems.<\/li>
  • Introduction to optimization theory.<\/li>
  • Introduction to linear programming.<\/li>
  • The simplex method.<\/li>
  • Duality theory.<\/li>
  • Sensitivity analysis.<\/li>
  • Extensions of linear programming.<\/li>
  • Network problems (shortest path, maximum flow, minimum cost flow, minimum spanning tree).<\/li>
  • Transportation, transshipment and assignment problems.<\/li><\/ul><\/div>\n\t\t\t\t\t<\/div>
    \n\t\t\t\t\t
    <\/i>Literature<\/span><\/div>

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

    • \u0392\u03b1\u03c3\u03b9\u03bb\u03b5\u03af\u03bf\u03c5 \u03a0.\u03a7. & \u03a4\u03c3\u03ac\u03bd\u03c4\u03b1\u03c2 \u039d., (2000). \u0395\u03b9\u03c3\u03b1\u03b3\u03c9\u03b3\u03ae \u03c3\u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1. \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u0396\u03ae\u03c4\u03b7.<\/li>
    • \u039a\u03b9\u03cc\u03c7\u03bf\u03c2 \u03a0., \u039a\u03b9\u03cc\u03c7\u03bf\u03c2 \u0391., \u0398\u03ac\u03bd\u03bf\u03c2 \u0393. & \u03a3\u03b1\u03bb\u03b1\u03bc\u03bf\u03cd\u03c1\u03b7\u03c2 \u0394., (2002). \u0395\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1: \u039c\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 & \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ad\u03c2 \u03bb\u03ae\u03c8\u03b7\u03c2 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03b1\u03c0\u03bf\u03c6\u03ac\u03c3\u03b5\u03c9\u03bd. \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a3\u03cd\u03b3\u03c7\u03c1\u03bf\u03bd\u03b7 \u0395\u03ba\u03b4\u03bf\u03c4\u03b9\u03ba\u03ae.<\/li>
    • \u039b\u03bf\u03c5\u03ba\u03ac\u03ba\u03b7\u03c2 \u039c., (2010). \u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc\u03c2 \u03c0\u03c1\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03cc\u03c2: \u0391\u03c1\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c3\u03b5 \u03b4\u03af\u03ba\u03c4\u03c5\u03b1. \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a3\u03bf\u03c6\u03af\u03b1.<\/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 \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1, \u03b1\u03bd\u03c4\u03b9\u03ba\u03b5\u03af\u03bc\u03b5\u03bd\u03bf \u03ba\u03b1\u03b9 \u03bc\u03b5\u03b8\u03bf\u03b4\u03bf\u03bb\u03bf\u03b3\u03af\u03b1: \u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc\u03c2 \u03c0\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.<\/li>
    • \u03a0\u03b1\u03c0\u03b1\u03c1\u03c1\u03af\u03b6\u03bf\u03c2 \u039a., (1999). \u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc\u03c2 \u03c0\u03c1\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03cc\u03c2: \u0391\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03b9 & \u0395\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ad\u03c2. \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u0396\u03c5\u03b3\u03cc\u03c2.<\/li>
    • \u03a0\u03c1\u03b1\u03c3\u03c4\u03ac\u03ba\u03bf\u03c2 \u0393., (2000). \u0394\u03b9\u03bf\u03b9\u03ba\u03b7\u03c4\u03b9\u03ba\u03ae \u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b7: \u039b\u03ae\u03c8\u03b7 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ce\u03bd \u03b1\u03c0\u03bf\u03c6\u03ac\u03c3\u03b5\u03c9\u03bd \u03c3\u03c4\u03b7\u03bd \u03ba\u03bf\u03b9\u03bd\u03c9\u03bd\u03af\u03b1 \u03c4\u03b7\u03c2 \u03c0\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 \u03c0\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>
    • \u03a5\u03c8\u03b7\u03bb\u03ac\u03bd\u03c4\u03b7\u03c2 \u03a0., (2007). \u0395\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1: \u039b\u03ae\u03c8\u03b7 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03b1\u03c0\u03bf\u03c6\u03ac\u03c3\u03b5\u03c9\u03bd. \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u0388\u03bb\u03bb\u03b7\u03bd.<\/li>
    • \u03a5\u03c8\u03b7\u03bb\u03ac\u03bd\u03c4\u03b7\u03c2 \u03a0., (2010). \u0395\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1: \u0395\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ad\u03c2 \u03c3\u03c4\u03b7 \u03c3\u03b7\u03bc\u03b5\u03c1\u03b9\u03bd\u03ae \u03b5\u03c0\u03b9\u03c7\u03b5\u03af\u03c1\u03b7\u03c3\u03b7. \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a0\u03c1\u03bf\u03c0\u03bf\u03bc\u03c0\u03cc\u03c2.<\/li>
    • \u03a6\u03c1\u03ac\u03b3\u03ba\u03bf\u03c2 \u03a7., (1988). \u0395\u03b9\u03c3\u03b1\u03b3\u03c9\u03b3\u03ae \u03c3\u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1. \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a3\u03c4\u03b1\u03bc\u03bf\u03cd\u03bb\u03b7.<\/li>
    • Hillier F.S. & Lieberman, G.J., (1984). \u0395\u03b9\u03c3\u03b1\u03b3\u03c9\u03b3\u03ae \u03c3\u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1, \u03a4\u03cc\u03bc\u03bf\u03b9 \u0391-\u0393. \u039c\u03b5\u03c4\u03ac\u03c6\u03c1\u03b1\u03c3\u03b7<\/li>
    • \u0393. \u039f\u03b9\u03ba\u03bf\u03bd\u03cc\u03bc\u03bf\u03c5. \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a0\u03b1\u03c0\u03b1\u03b6\u03ae\u03c3\u03b7.<\/li>
    • Hillier F.S., Lieberman G.J., (2001). Introduction to Operations Research. McGraw-Hill.<\/li>
    • Rardin R.L., (2016). Optimization in operations research, Pearson.<\/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>

      • \u00a0Annals of Operations Research<\/li>
      • Computational Optimization and Applications<\/li>
      • Computers and Industrial Engineering<\/li>
      • Computers and Operations Research<\/li>
      • Discrete Optimization<\/li>
      • Engineering Optimization<\/li>
      • European Journal of Industrial Engineering<\/li>
      • European Journal of Operational Research<\/li>
      • INFORMS Journal on Computing<\/li>
      • International Transactions in Operational Research<\/li>
      • Journal of Global Optimization<\/li>
      • Journal of Industrial and Management Optimization<\/li>
      • Journal of Optimization Theory and Applications<\/li>
      • Journal of the Operational Research Society<\/li>
      • Management Science<\/li>
      • Mathematical and Computer Modelling<\/li>
      • Mathematical Methods of Operations Research<\/li>
      • Mathematical Programming<\/li>
      • Mathematics of Operations Research<\/li>
      • Naval Research Logistics<\/li>
      • \u00a0Operational Research<\/li>
      • Operations Research<\/li>
      • Operations Research Letters<\/li>
      • Optimization<\/li>
      • Optimization and Engineering<\/li>
      • Optimization Letters<\/li>
      • Optimization Methods and Software<\/li>
      • OR Spectrum<\/li>
      • RAIRO – Operations Research – SIAM Journal on Optimization<\/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>

        \n\t\t\t\t\t
        <\/i>Teaching Method<\/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 exam<\/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>

        \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":"

        \u039f\u03a00500 LINEAR PROGRAMMING (CORE 3) \u039f\u03a00500 LINEAR PROGRAMMING (CORE 3) Course Information Course Outline \u03a0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b5\u03c2 \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03a0\u03b5\u03c1\u03af\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1 \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 Course CategoryCourse TypeSecretary CodeSemesterDurationECTS UnitsSectorInstructor UndergraduateCore 3\u039f\u03a005003rd (Winter)5 hours\/week6Production Management and Industrial<\/p>\n","protected":false},"author":8,"featured_media":9407,"parent":13157,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-17802","page","type-page","status-publish","has-post-thumbnail","hentry"],"acf":[],"yoast_head":"\n\u039f\u03a00500\u00a0Linear Programming (Core 3) - \u03a4\u03bc\u03ae\u03bc\u03b1 \u039c\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03cc\u03b3\u03c9\u03bd \u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mie.uth.gr\/?page_id=17802&lang=en\" \/>\n<meta property=\"og:locale\" content=\"el_GR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u039f\u03a00500\u00a0Linear Programming (Core 3) - \u03a4\u03bc\u03ae\u03bc\u03b1 \u039c\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03cc\u03b3\u03c9\u03bd \u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd\" \/>\n<meta property=\"og:description\" content=\"\u039f\u03a00500 LINEAR PROGRAMMING (CORE 3) \u039f\u03a00500 LINEAR PROGRAMMING (CORE 3) Course Information Course Outline \u03a0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b5\u03c2 \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03a0\u03b5\u03c1\u03af\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1 \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 Course CategoryCourse TypeSecretary CodeSemesterDurationECTS UnitsSectorInstructor UndergraduateCore 3\u039f\u03a005003rd (Winter)5 hours\/week6Production Management and Industrial\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mie.uth.gr\/?page_id=17802&lang=en\" \/>\n<meta property=\"og:site_name\" content=\"\u03a4\u03bc\u03ae\u03bc\u03b1 \u039c\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03cc\u03b3\u03c9\u03bd \u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd\" \/>\n<meta property=\"article:modified_time\" content=\"2026-09-04T08:34:55+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mie.uth.gr\/wp-content\/uploads\/2021\/02\/SquarePlaceholder150.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"150\" \/>\n\t<meta property=\"og:image:height\" content=\"150\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u0395\u03ba\u03c4\u03b9\u03bc\u03ce\u03bc\u03b5\u03bd\u03bf\u03c2 \u03c7\u03c1\u03cc\u03bd\u03bf\u03c2 \u03b1\u03bd\u03ac\u03b3\u03bd\u03c9\u03c3\u03b7\u03c2\" \/>\n\t<meta name=\"twitter:data1\" content=\"3 \u03bb\u03b5\u03c0\u03c4\u03ac\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/mie.uth.gr\\\/?page_id=17802&lang=en\",\"url\":\"https:\\\/\\\/mie.uth.gr\\\/?page_id=17802&lang=en\",\"name\":\"\u039f\u03a00500\u00a0Linear Programming (Core 3) - \u03a4\u03bc\u03ae\u03bc\u03b1 \u039c\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03cc\u03b3\u03c9\u03bd \u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/mie.uth.gr\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/mie.uth.gr\\\/?page_id=17802&lang=en#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/mie.uth.gr\\\/?page_id=17802&lang=en#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/mie.uth.gr\\\/wp-content\\\/uploads\\\/2021\\\/02\\\/SquarePlaceholder150.jpg\",\"datePublished\":\"2025-07-16T20:35:22+00:00\",\"dateModified\":\"2026-09-04T08:34:55+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/mie.uth.gr\\\/?page_id=17802&lang=en#breadcrumb\"},\"inLanguage\":\"el\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/mie.uth.gr\\\/?page_id=17802&lang=en\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"el\",\"@id\":\"https:\\\/\\\/mie.uth.gr\\\/?page_id=17802&lang=en#primaryimage\",\"url\":\"https:\\\/\\\/mie.uth.gr\\\/wp-content\\\/uploads\\\/2021\\\/02\\\/SquarePlaceholder150.jpg\",\"contentUrl\":\"https:\\\/\\\/mie.uth.gr\\\/wp-content\\\/uploads\\\/2021\\\/02\\\/SquarePlaceholder150.jpg\",\"width\":150,\"height\":150},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/mie.uth.gr\\\/?page_id=17802&lang=en#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u0391\u03c1\u03c7\u03b9\u03ba\u03ae\",\"item\":\"https:\\\/\\\/mie.uth.gr\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Studies\",\"item\":\"https:\\\/\\\/mie.uth.gr\\\/?page_id=12242&lang=en\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Undergraduate Studies\",\"item\":\"https:\\\/\\\/mie.uth.gr\\\/?page_id=12331&lang=en\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Structure\",\"item\":\"https:\\\/\\\/mie.uth.gr\\\/?page_id=13149&lang=en\"},{\"@type\":\"ListItem\",\"position\":5,\"name\":\"Undergraduate Courses\",\"item\":\"https:\\\/\\\/mie.uth.gr\\\/?page_id=13157&lang=en\"},{\"@type\":\"ListItem\",\"position\":6,\"name\":\"\u039f\u03a00500\u00a0Linear Programming (Core 3)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/mie.uth.gr\\\/#website\",\"url\":\"https:\\\/\\\/mie.uth.gr\\\/\",\"name\":\"\u03a4\u03bc\u03ae\u03bc\u03b1 \u039c\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03cc\u03b3\u03c9\u03bd \u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd\",\"description\":\"\u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b9\u03bf \u0398\u03b5\u03c3\u03c3\u03b1\u03bb\u03af\u03b1\u03c2\",\"publisher\":{\"@id\":\"https:\\\/\\\/mie.uth.gr\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/mie.uth.gr\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"el\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/mie.uth.gr\\\/#organization\",\"name\":\"\u03a4\u03bc\u03ae\u03bc\u03b1 \u039c\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03cc\u03b3\u03c9\u03bd \u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd\",\"url\":\"https:\\\/\\\/mie.uth.gr\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"el\",\"@id\":\"https:\\\/\\\/mie.uth.gr\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/mie.uth.gr\\\/wp-content\\\/uploads\\\/2021\\\/03\\\/cropped-uthLogo6.png\",\"contentUrl\":\"https:\\\/\\\/mie.uth.gr\\\/wp-content\\\/uploads\\\/2021\\\/03\\\/cropped-uthLogo6.png\",\"width\":564,\"height\":130,\"caption\":\"\u03a4\u03bc\u03ae\u03bc\u03b1 \u039c\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03cc\u03b3\u03c9\u03bd \u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd\"},\"image\":{\"@id\":\"https:\\\/\\\/mie.uth.gr\\\/#\\\/schema\\\/logo\\\/image\\\/\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u039f\u03a00500\u00a0Linear Programming (Core 3) - \u03a4\u03bc\u03ae\u03bc\u03b1 \u039c\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03cc\u03b3\u03c9\u03bd \u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mie.uth.gr\/?page_id=17802&lang=en","og_locale":"el_GR","og_type":"article","og_title":"\u039f\u03a00500\u00a0Linear Programming (Core 3) - \u03a4\u03bc\u03ae\u03bc\u03b1 \u039c\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03cc\u03b3\u03c9\u03bd \u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd","og_description":"\u039f\u03a00500 LINEAR PROGRAMMING (CORE 3) \u039f\u03a00500 LINEAR PROGRAMMING (CORE 3) Course Information Course Outline \u03a0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b5\u03c2 \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03a0\u03b5\u03c1\u03af\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1 \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 Course CategoryCourse TypeSecretary CodeSemesterDurationECTS UnitsSectorInstructor UndergraduateCore 3\u039f\u03a005003rd (Winter)5 hours\/week6Production Management and Industrial","og_url":"https:\/\/mie.uth.gr\/?page_id=17802&lang=en","og_site_name":"\u03a4\u03bc\u03ae\u03bc\u03b1 \u039c\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03cc\u03b3\u03c9\u03bd \u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd","article_modified_time":"2026-09-04T08:34:55+00:00","og_image":[{"width":150,"height":150,"url":"https:\/\/mie.uth.gr\/wp-content\/uploads\/2021\/02\/SquarePlaceholder150.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_misc":{"\u0395\u03ba\u03c4\u03b9\u03bc\u03ce\u03bc\u03b5\u03bd\u03bf\u03c2 \u03c7\u03c1\u03cc\u03bd\u03bf\u03c2 \u03b1\u03bd\u03ac\u03b3\u03bd\u03c9\u03c3\u03b7\u03c2":"3 \u03bb\u03b5\u03c0\u03c4\u03ac"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/mie.uth.gr\/?page_id=17802&lang=en","url":"https:\/\/mie.uth.gr\/?page_id=17802&lang=en","name":"\u039f\u03a00500\u00a0Linear Programming (Core 3) - \u03a4\u03bc\u03ae\u03bc\u03b1 \u039c\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03cc\u03b3\u03c9\u03bd \u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd","isPartOf":{"@id":"https:\/\/mie.uth.gr\/#website"},"primaryImageOfPage":{"@id":"https:\/\/mie.uth.gr\/?page_id=17802&lang=en#primaryimage"},"image":{"@id":"https:\/\/mie.uth.gr\/?page_id=17802&lang=en#primaryimage"},"thumbnailUrl":"https:\/\/mie.uth.gr\/wp-content\/uploads\/2021\/02\/SquarePlaceholder150.jpg","datePublished":"2025-07-16T20:35:22+00:00","dateModified":"2026-09-04T08:34:55+00:00","breadcrumb":{"@id":"https:\/\/mie.uth.gr\/?page_id=17802&lang=en#breadcrumb"},"inLanguage":"el","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mie.uth.gr\/?page_id=17802&lang=en"]}]},{"@type":"ImageObject","inLanguage":"el","@id":"https:\/\/mie.uth.gr\/?page_id=17802&lang=en#primaryimage","url":"https:\/\/mie.uth.gr\/wp-content\/uploads\/2021\/02\/SquarePlaceholder150.jpg","contentUrl":"https:\/\/mie.uth.gr\/wp-content\/uploads\/2021\/02\/SquarePlaceholder150.jpg","width":150,"height":150},{"@type":"BreadcrumbList","@id":"https:\/\/mie.uth.gr\/?page_id=17802&lang=en#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u0391\u03c1\u03c7\u03b9\u03ba\u03ae","item":"https:\/\/mie.uth.gr\/"},{"@type":"ListItem","position":2,"name":"Studies","item":"https:\/\/mie.uth.gr\/?page_id=12242&lang=en"},{"@type":"ListItem","position":3,"name":"Undergraduate Studies","item":"https:\/\/mie.uth.gr\/?page_id=12331&lang=en"},{"@type":"ListItem","position":4,"name":"Structure","item":"https:\/\/mie.uth.gr\/?page_id=13149&lang=en"},{"@type":"ListItem","position":5,"name":"Undergraduate Courses","item":"https:\/\/mie.uth.gr\/?page_id=13157&lang=en"},{"@type":"ListItem","position":6,"name":"\u039f\u03a00500\u00a0Linear Programming (Core 3)"}]},{"@type":"WebSite","@id":"https:\/\/mie.uth.gr\/#website","url":"https:\/\/mie.uth.gr\/","name":"\u03a4\u03bc\u03ae\u03bc\u03b1 \u039c\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03cc\u03b3\u03c9\u03bd \u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd","description":"\u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b9\u03bf \u0398\u03b5\u03c3\u03c3\u03b1\u03bb\u03af\u03b1\u03c2","publisher":{"@id":"https:\/\/mie.uth.gr\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mie.uth.gr\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"el"},{"@type":"Organization","@id":"https:\/\/mie.uth.gr\/#organization","name":"\u03a4\u03bc\u03ae\u03bc\u03b1 \u039c\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03cc\u03b3\u03c9\u03bd \u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd","url":"https:\/\/mie.uth.gr\/","logo":{"@type":"ImageObject","inLanguage":"el","@id":"https:\/\/mie.uth.gr\/#\/schema\/logo\/image\/","url":"https:\/\/mie.uth.gr\/wp-content\/uploads\/2021\/03\/cropped-uthLogo6.png","contentUrl":"https:\/\/mie.uth.gr\/wp-content\/uploads\/2021\/03\/cropped-uthLogo6.png","width":564,"height":130,"caption":"\u03a4\u03bc\u03ae\u03bc\u03b1 \u039c\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03cc\u03b3\u03c9\u03bd \u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd"},"image":{"@id":"https:\/\/mie.uth.gr\/#\/schema\/logo\/image\/"}}]}},"_links":{"self":[{"href":"https:\/\/mie.uth.gr\/index.php?rest_route=\/wp\/v2\/pages\/17802","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mie.uth.gr\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mie.uth.gr\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mie.uth.gr\/index.php?rest_route=\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/mie.uth.gr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=17802"}],"version-history":[{"count":5,"href":"https:\/\/mie.uth.gr\/index.php?rest_route=\/wp\/v2\/pages\/17802\/revisions"}],"predecessor-version":[{"id":31447,"href":"https:\/\/mie.uth.gr\/index.php?rest_route=\/wp\/v2\/pages\/17802\/revisions\/31447"}],"up":[{"embeddable":true,"href":"https:\/\/mie.uth.gr\/index.php?rest_route=\/wp\/v2\/pages\/13157"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mie.uth.gr\/index.php?rest_route=\/wp\/v2\/media\/9407"}],"wp:attachment":[{"href":"https:\/\/mie.uth.gr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=17802"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}