Operations Research detailed Syllabus for Industrial & Production Engineering (IPE), 2018 scheme has been taken from the VTUs official website and presented for the VTU students. For Course Code, Subject Names, Teaching Department, Paper Setting Board, Theory Lectures, Tutorial, Practical/Drawing, Duration in Hours, CIE Marks, Total Marks, Credits and other information do visit full semester subjects post given below. The Syllabus PDF files can also be downloaded from the official website of the university.
For all other VTU IPE 6th Sem Syllabus for BE 2018 Scheme, do visit VTU IPE 6th Sem Syllabus for BE 2018 Scheme Subjects. The detailed Syllabus for operations research is as follows.
Course Learning Objectives:
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Module-1
Introduction: Evolution of OR, definition of OR, scope of OR, application areas of OR, steps (phases) in OR study, characteristics and limitations of OR, models used in OR, linear programming (LP) problem-formulation and solution by graphical method. Solution of Linear Programming Problems: The simplex method, canonical and standard form of an LP problem, slack, surplus and artificial variables, big M method and concept of duality, dual simplex method.
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. Least Time Transportation Problems. Assignment Problem: Formulation, types, application to maximization cases and Travelling Salesman Problem, flight scheduling problem.
Module-3
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Module-4
Queuing Theory: Queuing systems and their characteristics, Pure-birth and Pure-death models (only equations), empirical queuing models – M/M/1 and M/M/C models (no derivations) and their steady state performance analysis. Game Theory: Formulation of games, types, solution of games with saddle point, graphical method of solving mixed strategy games, dominance rule for solving mixed strategy games.
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
Course Outcomes:
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Question paper pattern:
- The question paper will have ten full questions carrying equal marks.
- Each full question will be for 20 marks.
- There will be two full questions (with a maximum of four sub- questions) from each module.
- Each full question will have sub- question covering all the topics under a module.
- The students will have to answer five full questions, selecting one full question from each module.
Textbook:
- Operations Research – Theory and Applications – J K Sharma Pearson Education Pvt Ltd Recent edition
- Operations Research P K Gupta and D S Hira S Chand Publications, New Delhi Recent edition
Reference Books:
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For detail Syllabus of all other subjects of BE 6th Sem Industrial & Production Engineering, visit (IPE) 6th Sem Syllabus Subjects.
For all (CBSE & Non-CBSC) BE results, visit VTU BE all semester results direct links.