# 18MA56: Operational Research MSE Syllabus for BE 5th Sem 2018 Scheme VTU

Operational Research detailed Syllabus for Manufacturing Science & Engineering (MSE), 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 MSE 5th Sem Syllabus for BE 2018 Scheme, do visit VTU MSE 5th Sem Syllabus for BE 2018 Scheme Subjects. The detailed Syllabus for operational research is as follows.

#### Module 1

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#### Module 2

LPP: Simplex method, Canonical and Standard form of LP problem, slack, surplus and artificial variables, Solutions to LPP by Simplex method, Big-M Method and Two Phase Simplex Method, Degeneracy in LPP. Concept of Duality, writing Dual of given LPP. Solutions to L.P.P by Dual Simplex Method. 10 Hours L1,L2,L3,L4

#### Module 3

Transportation Problem: Formulation of transportation problem, types, initial basic feasible solution using North-West Corner rule, Vogel’s Approximation method. Optimality in Transportation problem by Modified Distribution(MODI) method. Unbalanced T.P. Maximization T.P. Degeneracy in transportation problems, application of transportation problem. Assignment Problem: Formulation, Solutions to assignment problems by Hungarian method, Special cases in assignment problems, unbalanced, Maximization assignment problems. Travelling Salesman Problem (TSP). Difference between assignment and T.S.P, Numerical Problems. 10 Hours L1,L2,L3,L4

#### Module 4

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#### Module 5

Game Theory: Definition, Pure Strategy problems, Saddle point, Max-Min and Min-Max criteria, Principle of Dominance, Solution of games with Saddle point. Mixed Strategy problems. Solution of 2X2 games by Arithmetic method, Solution of 2Xn m and mX2 games by graphical method. Formulation of games. Sequencing: Basic assumptions, Johnson’s algorithm, 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 of 2 jobs on m’ machines using graphical method. 10 Hours L1,L2,L3,L4

#### Course Outcomes:

After studying this course, students will be able to:

1. CO-1 Define terminologies and procedures associated with different Operations Research techniques.
2. CO-2 Describe the importance, Characteristics and limitations of OR techniques.
3. CO-3 Apply OR technique/strategies to solve industrial and managerial related problems.
4. CO-4 Allocate and schedule the resources and optimum cost and time.
5. CO-5 Enables to review and evaluate project duration and Critical path.

#### Text Books:

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.
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#### Reference Books:

1. Operations Research, Theory and Applications, Sixth Edition, J K Sharma, Trinity Press, Laxmi Publications Pvt.Ltd. 2016
2. Operations Research, Paneerselvan, PHI.
3. Operations Research, A M Natarajan, P Balasubramani, Pearson Education, 2005
4. Introduction to Operations Research, Hillier and Lieberman,8thEd., McGraw Hill

For detail Syllabus of all other subjects of BE 5th Sem Manufacturing Science & Engineering, visit (MSE) 5th Sem Syllabus Subjects.

For all (CBSE & Non-CBSC) BE results, visit VTU BE all semester results direct links.