ILO7015: Operation Research Syllabus for AE 7th Sem 2019 Pattern Mumbai University (Institute Level Optional Course-1)

Operation Research detailed syllabus scheme for Automobile Engineering (AE), 2019 regulation has been taken from the MU official website and presented for the Bachelor of Engineering students. For Course Code, Course Title, Test 1, Test 2, Avg, End Sem Exam, Team Work, Practical, Oral, Total, and other information, do visit full semester subjects post given below.

For 7th Sem Scheme of Automobile Engineering (AE), 2019 Pattern, do visit AE 7th Sem Scheme, 2019 Pattern. For the Institute Level Optional Course-1 scheme of 7th Sem 2019 regulation, refer to AE 7th Sem Institute Level Optional Course-1 Scheme 2019 Pattern. The detail syllabus for operation research is as follows.

Operation Research Syllabus for Automobile Engineering BE 7th Sem 2019 Pattern Mumbai University

Course Outcomes:

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.
.

Module 1

Introduction to Operations Research: Introduction, , Structure of the Mathematical Model, Limitations of Operations Research Linear Programming: Introduction, Linear Programming Problem, Requirements of LPP, Mathematical Formulation of LPP, Graphical method, Simplex Method Penalty Cost Method or Big M-method, Two Phase Method, Revised simplex method, Duality, Primal – Dual construction, Symmetric and Asymmetric Dual, Weak Duality Theorem, Complimentary Slackness Theorem, Main Duality Theorem, Dual Simplex Method, Sensitivity Analysis Transportation Problem: Formulation, solution, unbalanced Transportation problem. Finding basic feasible solutions – Northwest corner rule, least cost method and Vogels approximation method. Optimality test: the stepping stone method and MODI method. Assignment Problem: Introduction, Mathematical Formulation of the Problem, Hungarian Method Algorithm, Processing of n Jobs Through Two Machines and m Machines, Graphical Method of Two Jobs m Machines Problem Routing Problem, Travelling Salesman Problem Integer Programming Problem: Introduction, Types of Integer Programming Problems, Gomorys cutting plane Algorithm, Branch and Bound Technique. Introduction to Decomposition algorithms. 14

Module 2

Queuing models: queuing systems and structures, single server and multi-server models, Poisson input, exponential service, constant rate service, finite and infinite population 05

Module 3

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.
.

Module 4

Dynamic programming. Characteristics of dynamic programming. Dynamic programming approach for Priority Management employment smoothening, capital budgeting, Stage Coach/Shortest Path, cargo loading and Reliability problems. 05

Module 5

Game Theory. Competitive games, rectangular game, saddle point, minimax (maximin) method of optimal strategies, value of the game. Solution of games with saddle points, dominance principle. Rectangular games without saddle point – mixed strategy for 2 X 2 games. 05

Module 6

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.
.

Assessment:

Internal Assessment for 20 marks: Consisting Two Compulsory Class Tests First test based onapproximately 40% of contents and second test based on remainingcontents (approximately 40% but excluding contents covered in Test I) End Semester Examination: Weightage of each module in end semester examination will be proportional to number of respective lecture hours mentioned in the curriculum.

1. Question paper will comprise of total six questions, each carrying 20 marks
2. Question 1 will be compulsory and should cover maximum contents of the curriculum
3. Remaining questions will be mixed in nature (for example if Q.2 has part
   1. from module 3 then part
   2. will be from any module other than module 3)
4. Only Four questions need to be solved.

Reference Books:

1. Taha, H.A. “Operations Research – An Introduction”, Prentice Hall, (7th Edition), 2002.
2. Ravindran, A, Phillips, D. T and Solberg, J. J. “Operations Research: Principles and Practice”, John Willey and Sons, 2nd Edition, 2009
3. Hiller, F. S. and Liebermann, G. J. “Introduction to Operations Research”, Tata McGraw Hill, 2002.
4. Operations Research, S. D. Sharma, KedarNath Ram Nath-Meerut
5. Operations Research, KantiSwarup, P. K. Gupta and Man Mohan, Sultan Chand & Sons

For detail Syllabus of all subjects of Automobile Engineering (AE) 7th Sem 2019 regulation, visit AE 7th Sem Subjects of 2019 Pattern.