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CIT907

Advanced Operation Research

  • Sciences
  • 900 level
  • 3 credit units
  • 289 pages
  • 17 units

This course introduces advanced concepts in Operations Research, building upon undergraduate knowledge. It explores various approaches to problem-solving, including modeling techniques and advanced linear programming. Students will learn integer, dynamic, and goal programming, as well as transportation and assignment models. The course also covers inventory, network analysis, queuing theory, replacement theory, and game theory, emphasizing practical applications and limitations.

About this course

Difficulty
Intermediate
Study hours
150 hours
Maths
Intermediate
Content
Theoretical, practical, case study, problem solving
Practical work
Yes
How it is assessed
  • Assignments
  • Self assessment exercises
  • Tutor marked assessments
  • Final examination

One paragraph, so you can see how it reads

CIT907 · UNIT 1: CONCEPTS OF OPERATIONS RESEARCH

You will be provided with course materials prior to commencement of this course. The course materials will comprise your course guide as well as your study units. You will also receive a list of recommended textbooks. These textbooks are however not compulsory.

What you should be able to do

  1. Apply linear programming techniques to resource allocation problems.
  2. Formulate and solve integer programming models.
  3. Utilize dynamic programming for sequential decision-making.
  4. Apply goal programming to optimize multiple objectives.
  5. Analyze and solve transportation and assignment problems.
  6. Apply queuing theory to improve service efficiency.
  7. Make informed replacement decisions for depreciating assets.
  8. Apply game theory to competitive strategies.

What it prepares you for

Careers
  • Operations Analyst
  • Logistics Manager
  • Supply Chain Analyst
  • Management Consultant
  • Project Manager
Where it is applied
  • Manufacturing
  • Logistics
  • Supply Chain Management
  • Finance
  • Healthcare
Tools
  • Linear Programming Software
  • Statistical Analysis Software
  • Simulation Software

Where it gets hard

The units students slow down on, and what makes each one heavy.

  • Module 1: Linear Programming in Operation Research

    Unit 3: Linear Programming (1)

    Linear programming (1) requires strong understanding of mathematical concepts and formulation of objective functions and constraints.

  • Module 3: Operation Research Modelling

    Unit 2: Network Analysis

    Network analysis involves understanding complex relationships between activities and accurately calculating critical paths.

A suggested way through it

Suggested

13 weeks, about 38 hours in total. Yours will differ.

  1. Week 1Module 1: Linear Programming in Operation Research
    • Unit 1: Concepts of Operations Research · 2 hours

      Read the introduction to Operations Research.. Understand the historical development of Operations Research.. Identify the importance and uses of Operations Research.. Discuss the limitations of Operations Research..

  2. Week 2Module 1: Linear Programming in Operation Research
    • Unit 2: Modeling · 2 hours

      Study the meaning of models in Operations Research.. Describe the various types of models.. Learn how to construct a model.. Identify standard Operations Research models..

  3. Week 3Module 1: Linear Programming in Operation Research
    • Unit 3: Linear Programming (1) · 3 hours

      Understand the usefulness of linear programming.. State the properties of a linear programming model.. Identify areas of application of linear programming.. Formulate a linear programming model..

  4. Week 4Module 1: Linear Programming in Operation Research
    • Unit 4: Linear Programming (2) · 3 hours

      Prepare LPP for use of simplex.. Explain the use of simplex.. List the steps involved in using a simplex method.. Prepare a simplex table and understand its various components..

  5. Week 5Module 1: Linear Programming in Operation Research
    • Unit 5: Linear Programming (3) · 3 hours

      Demonstrate the use of simplex method for solving an LLP.. Solve LPP using maximization problem.. Describe optimal dual concept.. Describe dual formulation procedure..

  6. Week 6Module 2: Operation Research Techniques
    • Unit 1: Concept of Integer Programming · 2 hours

      Understand the concept of Integer Programming.. Identify the limitations of Integer Programming.. Describe the methods of Integer Programming.. Formulate Integer Programming models..

  7. Week 7Module 2: Operation Research Techniques
    • Unit 2: The Concept of Dynamic Programming · 2 hours

      Understand the concept of Dynamic Programming.. Explain the terminologies used in Dynamic Programming.. Describe the Dynamic Programming approach.. Formulate Dynamic Programming models..

  8. Week 8Module 2: Operation Research Techniques
    • Unit 3: Concept of Goal Programming · 2 hours

      Understand the concept of Goal Programming.. Use multiple goals in Goal Programming problems.. Formulate Goal Programming models.. Solve Goal Programming problems graphically..

  9. Week 9Module 2: Operation Research Techniques
    • Unit 4: Transportation Model · 3 hours

      Understand the concept of Transportation Models.. Describe the General Transportation Problem.. Differentiate between Balanced and Unbalanced Transportation Problems.. Apply methods of solution for Transportation Problems..

  10. Week 10Module 2: Operation Research Techniques
    • Unit 5: Assignment Model · 3 hours

      Understand the concept of Assignment Models.. Describe the Assignment Table.. Apply methods of solving Assignment Problems.. Handle Dummy Rows and Dummy Columns in Assignment Problems..

  11. Week 11Module 3: Operation Research Modelling
    • Unit 1: Inventory Model · 2 hours

      Understand the Inventory Model.. Identify different types of inventory.. State the main reasons for holding stock.. Define important terminologies in inventory management..

    • Unit 2: Network Analysis · 2 hours

      Understand Network Analysis.. Explain what a project is.. Differentiate between CPM and PERT..

  12. Week 12Module 3: Operation Research Modelling
    • Unit 3: The Problems in Sequencing · 3 hours

      Understand the Sequencing Problems.. State the assumptions made in Sequencing Problems.. Define the terminologies used in Sequencing Problems.. Perform Sequencing of jobs through different numbers of machines..

  13. Week 13Module 3: Operation Research Modelling
    • Unit 4: Waiting Line in Queuing Theory · 3 hours

      Understand Waiting Line (Queuing) Theory.. Explain the objectives and models of Queuing Theory.. Identify the benefits and limitations of Queuing Models.. Define important terms and notations used in Queuing Theory..

    • Unit 5: Replacement Theory · 3 hours

      Understand Replacement Theory.. Explain that depreciable assets have to be replaced.. Formulate assumptions of Replacement Theory.. Devise a replacement policy for items whose maintenance cost increases with time..

Preparing for the exam

What to do
  • Review all module summaries to reinforce key concepts and formulas.
  • Practice formulating linear programming models from word problems.
  • Create flowcharts for simplex and transportation algorithms to visualize steps.
  • Solve numerous numerical problems from each unit to build proficiency.
  • Focus on understanding the assumptions and limitations of each technique.
  • Develop time management strategies for solving problems under exam conditions.
  • Create concept maps linking different Operations Research techniques.

Questions students ask about this course

What is CIT907 about?

This course introduces advanced concepts in Operations Research, building upon undergraduate knowledge. It explores various approaches to problem-solving, including modeling techniques and advanced linear programming. Students will learn integer, dynamic, and goal programming, as well as transportation and assignment models. The course also covers inventory, network analysis, queuing theory, replacement theory, and game theory, emphasizing practical applications and limitations.

How many units does CIT907 have?

CIT907, Advanced Operation Research, has 17 units across 4 modules, over 289 pages of course material. You can read it one unit at a time.

How many credit units is CIT907?

CIT907 carries 3 credit units, at 900 level in Sciences.

Is CIT907 hard?

CIT907 is rated intermediate level, with intermediate mathematical content. It is mostly theoretical, practical, case study and problem solving work, and it has a practical component.

How long does CIT907 take to study?

About 150 hours of study, spread across its 17 units.

How is CIT907 assessed?

CIT907 is assessed by assignments, self assessment exercises, tutor marked assessments and final examination.

What can I do with CIT907?

Operations Analyst, Logistics Manager, Supply Chain Analyst, Management Consultant and Project Manager.

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