Can you provide me the syllabus of - MEE7019 Operations Research under B. E. Mechanical - (Semester VIII) Program offered by University of Mumbai on which the question paper is based?

[ReenaK]

The syllabus of - MEE7019 Operations Research under B. E. Mechanical - (Semester VIII) Program offered by University of Mumbai on which the question paper is based is as follows:


Course Code
MEE7019

Course/Subject Name
Operations Research

Objectives
1. To familiarize the students with the use of practice oriented mathematical applications for optimization functions in an organization.
2. To familiarize the students with various tools of optimization, probability, statistics and simulation, as applicable in particular scenarios in industry for better management of various resources.


Outcomes: Learner will be able to
1. Illustrate the need to optimally utilize the resources in various types of industries.
3. Apply and analyze mathematical optimization functions to various applications.
2. Demonstrate cost effective strategies in various applications in industry.

01
Linear Programming: Linear Programming Problem Formulation, Graphical solution, Simplex method, Twophase method, Big-M method, Principle of Duality, Dual Simplex, Sensitivity Analysis.


02
Transportation problem: Formulation - Optimal solution, Degeneracy.
Assignment problem: Formulation - Optimal solution, Traveling Salesman problem.
Sequencing: Introduction - Flow Shop sequencing - n jobs through two machines - n jobs through three machines - Job shop sequencing - two jobs through m machines.


03
Replacement: Introduction - Replacement of items that deteriorate with time - when money value is not counted and counted - Replacement of items that fail completely, group replacement.
Queuing Models: Introduction -Single Channel - Poisson arrivals - Exponential service times - with infinite population and finite population models, Multichannel - Poisson arrivals - Exponential service times with infinite population single channel Poisson arrivals.


04
Game Theory: Introduction - Minimax (Maximin) -Criterion and optimal strategy - Solution of games with saddle points - Rectangular games without saddle points - 2 2 games - dominance principle - m 2 & 2 n games, graphical method.


05
Inventory Models: Introduction - Single item - Deterministic models -
Purchase inventory models with one price break and multiple price breaks - shortages are not allowed - Stochastic models - demand may be discrete variable or continuous variable -Instantaneous production – Instantaneous demand and continuous demand and no set up cost.


06.
Dynamic programming: Introduction - Bellman’s Principle of optimality -
Applications of dynamic programming- capital budgeting problem - shortest path problem- Minimum Spanning Tree
Simulation: Definition - Types of simulation models - phases of simulation - applications of simulation - Inventory and Queuing problems - Advantages and Disadvantages - Simulation Languages.


Term Work
Term work shall consist of;
1. Assignments: On topics drawn from syllabus [At least 1 assignment per module].
2. Based on topics from syllabus, minimum 06 problems are to be solved and presented with inferences.
3. Exposure to problem solving using MS Office Excel and software packages such as
TORA, WinQSB and LINDO is recommended.


The distribution of marks for term work shall be as follows;
Laboratory work (problem solving: manual/programs and journal): 10 marks
Assignments: 10 marks
Attendance (Theory and Practical): 05 marks
The final certification and acceptance of term work ensures the satisfactory performance of laboratory work and minimum passing in the term work.


Internal Assessment
Assessment consists of two tests out of which; one should be compulsory class test (on minimum 40% of curriculum) and the other is either a class test (on minimum 70% of curriculum) or assignment on live problems or course project.


Theory Examination
In question paper weightage of each module will be proportional to number of respective lecture hours as mention in the syllabus.
1. Question paper will comprise of 6 questions, each carrying 20 marks.
2. Question number 1 will be compulsory and based on maximum contents of the syllabus
3. Remaining questions will be mixed in nature (for example, if Q.2 has part (a) from module 3 then part (b) will be from other than module 3)
4. Total four questions need to be solved.


References
1. Operations Research: Principle and Practices, A. Ravindran, D. Phillips, Wiley
India.
2. Operations Research, S. D. Sharma, KedarNath Ram Nath-Meerut.
3. Operations Research, R. Panneerselvam, PHI Publications.
4. Operations Research, A. M. Natarajan, P. Balasubramani, A. Tamilarasi, Pearson Education
5. Operations Research - An introduction, Hamdy A Taha, Pearson Education.
6. Operations Research, KantiSwarup, P. K. Gupta and Man Mohan, Sultan Chand & Sons.
7. Operations Research: Methods and Problems, Maurice Saseini, ArhurYaspan and Lawrence Friedman.
8. Introduction to O.R, Hiller & Libermann (TMH)