Operation Research

Section outline

• Select section General

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  General

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  Tento výstup lze užít v souladu s licenčními podmínkami Creative Commons BY-SA 4.0 International

  (http://creativecommons.org/licenses/by-sa/4.0/legalcode).

  
  
  

  • Select activity Oznámení

    

    Oznámení Forum
  • Select activity Text

    

    Text File
  • Select activity STAG

    

    STAG URL

    For more details about the course - the syllabus, requirements, literature and so on, see the course in STAG system - Operations Research KMI/OAA.

• Select section History and Introduction

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  History and Introduction

  Introduction to Operation research including short history of this subject.
  

  • Select activity Slides on history of OR by Manoj Kumar

    

    Slides on history of OR by Manoj Kumar URL
  • Select activity Textbook by Rama Murthy

    

    Textbook by Rama Murthy URL
• Select section Linear optimization - introduction

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  Linear optimization - introduction

  Introduction to linear optimization. Construction of mathematical models.

  Practice: Formulate mathematical models for given examples.

  • Select activity Presentation

    

    Presentation File
  • Select activity Problems

    

    Problems File
• Select section Linear optimization - graphical solution

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  Linear optimization - graphical solution

  Graphical solution of linear optimization problems. Feasible solution, optimal solution, problem of unbounded objective function.

  Practice: If it is possible, solve (in graphical way) problems given in the previous part. If not, explain why it is not possible.

  • Select activity Presentation

    

    Presentation File
• Select section Simplex method

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  Simplex method

  Theory of simplex method, using of SW for solution of LO problems.

  Practice: Solve the given LO problems in software. Interpret the solution.

  • Select activity Presentation

    

    Presentation File
  • Select activity Example

    

    Example File
• Select section Post-optimality analysis in LO

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  Post-optimality analysis in LO

  Interpretation of LO solution. Post-optimality analysis.

  Practice: Develop the post-optimality analysis for above given problems.

  • Select activity Post-optimality analysis - text from University of Baltimore

    

    Post-optimality analysis - text from University of Baltimore URL
• Select section Multiple-criteria Decision Making (MCDM) - introduction

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  Multiple-criteria Decision Making (MCDM) - introduction

  Introduction to Multiple Criteria Decision Making (MCDM) methods. Introduction to terminology, basic properties of MCDM methods. 

  Practice: Use your own problem to solve. Identify criteria, find possible alternatives, develop the decision matrix, if it is necessary suggest missing data values and explain your suggestion. Identify dominated alternatives.

  • Select activity Presentation

    

    Presentation File
  • Select activity A paper on MCDM by E. Triantaphyllou, B. Shu, S. Nieto Sanchez, and T. Ray

    

    A paper on MCDM by E. Triantaphyllou, B. Shu, S. Nieto Sanchez, and T. Ray URL
• Select section Multiple-criteria Decision Making (MCDM) - decision maker preferences

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  Multiple-criteria Decision Making (MCDM) - decision maker preferences

  Pareto optimality. Construction of weights for MCDM. Classification of methods for MCDM.

  Practice: Construct weights for your problem. Use all studied methods.

  • Select activity Presentation

    

    Presentation File
  • Select activity MCDM weights

    

    MCDM weights File
• Select section MCDM methods

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  MCDM methods

  Methods for MCDM -- lexicographical method, point method, WSA, TOPSIS.

  Practice: Apply all studied methods to solve your problem. What is your conclusion?

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    Presentation File
  • Select activity Example

    

    Example File
• Select section Data Envelopement Analysis - introduction and basic models

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  Data Envelopement Analysis - introduction and basic models

  Introduction to Data Envelopement Analysis (DEA). 1 -1 models (1 input, 1 ouput). 

  Practice: Solve Problem 1.
  

  • Select activity Presentation

    

    Presentation File
  • Select activity Exercise - 1 input, 1 output

    

    Exercise - 1 input, 1 output File
  • Select activity Exercise - 2 Inputs, 1 Output

    

    Exercise - 2 Inputs, 1 Output File
  • Select activity Exercise - 1 input 2 outputs

    

    Exercise - 1 input 2 outputs File
  • Select activity Lecture notes from Brunel University London

    

    Lecture notes from Brunel University London URL
  • Select activity A graphical solution of DEA models - lecture notes form India

    

    A graphical solution of DEA models - lecture notes form India URL
  • Select activity Problems

    

    Problems File
• Select section DEA - Graphical Solution

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  DEA - Graphical Solution

  2 - 1 and 1 - 2 models (2 inputs and 1 output; 1 input and 2 outputs models) and graphical solution.

  Practice: Solve Problems 2, 3.
  

  • Select activity Presentation

    

    Presentation File
• Select section Linear programming in DEA

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  Linear programming in DEA

  Using of LO in DEA - models for general number of inputs and outputs. Postoptimization analysis. 

  Practice: Solve Problems 4 and 5.
  

  • Select activity Presentatiton

    

    Presentatiton File
  • Select activity Example

    

    Example File
• Select section Project management with CPM method

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  Project management with CPM method

  Construction of project networks, duration of the project, critical path. 

  Practice: Apply CPM to given problems.

  • Select activity Presentation

    

    Presentation File
  • Select activity Problems

    

    Problems File
  • Select activity Example

    

    Example File
• Select section PERT method

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  PERT method

  Including of stochastic activity duration. Expected duration of the project, probabilities of finishing project in time.

  Practice: Apply PERT method to the above given problems.

  • Select activity Presentation

    

    Presentation File
  • Select activity PERT

    

    PERT File
• Select section Optimization in Project Management

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  Optimization in Project Management

  Time-Cost Trade-Offs. Using Linear Programming to Make Crashing Decisions.

  Practice: Solve Problem no. 4.

  • Select activity Presentation

    

    Presentation File
• Select section Credit test

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  Credit test

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• Select section Exam

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  Exam

  Materials for exam.
  

  • Select activity Exam test - Example

    

    Exam test - Example File
  • Select activity Exam test - Example

    

    Exam test - Example File
  • Select activity Exam tests

    

    Exam tests Folder
• Select section Měsíční reporty

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  Měsíční reporty

  Not available