Operations Research detail syllabus for Aeronautical Engineering (Aero), 2017 scheme is taken from VTU official website and presented for VTU students. The course code (17AE751), and for exam duration, Teaching Hr/week, Practical Hr/week, Total Marks, internal marks, theory marks, duration and credits do visit complete sem subjects post given below.
For all other aero 7th sem syllabus for be 2017 scheme vtu you can visit Aero 7th Sem syllabus for BE 2017 Scheme VTU Subjects. For all other Professional Elective-4 subjects do refer to Professional Elective-4. The detail syllabus for operations research is as follows.
Course Objectives:
This course will enable students to
- Understand the basic of operations research.
- Comprehend the PERT-CPM techniques, queuing theory and game theory.
- Acquire the knowledge on sequencing.
Module 1
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Module 2
Transportation Problem: Formulation of transportation problem, types, initial basic feasible solution using different methods, optimal solution by MODI method, degeneracy in transportation problems, application of transportation problem concept for maximization cases. Assignment Problem-formulation, types, application to maximization cases and travelling salesman problem
Module 3
Integer Programming: Pure and mixed integer programming problems, solution of Integer programming problems-Gomory’s all integer cutting plane method and mixed integer method, branch and bound method, Zero-One programming. Pert-CPM Techniques: Introduction, network construction – rules, Fulkerson’s rule for numbering the events, AON and AOA diagrams; Critical path method to find the expected completion time of a project, floats; PERT for finding expected duration of an activity and project, determining the probability of completing a project, predicting the completion time of project; crashing of simple projects
Module 4
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Module 5
Sequencing: Basic assumptions, sequencing n’ jobs on single machine using priority rules, sequencing using Johnson’s rule-n’ jobs on 2 machines, n’ jobs on 3 machines, n’ jobs on m’ machines. Sequencing
2 jobs on m’ machines using graphical method.
Course Outcomes:
After studying this course, students will be able to:
- Apply the basic of operations research.
- Classify the PERT-CPM techniques, queuing theory and game theory.
- Identify the sequencing techniques.
Graduate Attributes (as per NBA):
- Engineering Knowledge.
- Problem Analysis.
- Design / development of solutions
- Interpretation of data
Question paper pattern:
- The question paper will have ten questions.
- Each full question consists of 16 marks.
- There will be 2 full questions (with a maximum of four sub questions) from each module.
- Each full question will have sub questions covering all the topics under a module.
- The students will have to answer 5 full questions, selecting one full question from each module.
Text Books:
- P K Gupta and D S Hira, Operations Research, Chand Publications, New Delhi, Revised edition, 2007, ISBN-13: 978-8121902816
- Taha H A ,Operations Research, Pearson Education,9th edition,2014,ISBN-13: 978-9332518223
Reference Books:
- A P Verma, Operations Research, S K Kataria &Sons, 2012, ISBN-13: 978-9350142400
- Paneerselvan, Operations Research, PHI,2nd edition,2009, ISBN-13: 978-8120329287
- A M Natarajan, P Balasubramani, Operations Research, Pearson Education, 1st edition,2011, ISBN-13:978-8131767764
- Hillier and Liberman, Introduction to Operations Research, 8th Ed., McGraw Hill
- S.D. Sharma , Operations Research, , Kedarnath Ramanath & Co, 2012.
For detail syllabus of all other subjects of BE Aero, 2017 regulation do visit Aero 7th Sem syllabus for 2017 Regulation.
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