Operation Research detailed Syllabus Scheme for Master of Computer Applications (MCA), 2017 regulation has been taken from the University of Mumbai official website and presented for the MCA 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 all other Mumbai University MCA 3rd Sem Syllabus 2017 Pattern, do visit MCA 3rd Sem 2017 Pattern Scheme. The detailed Syllabus Scheme for operation research is as follows.
MCA304: Operation Research Syllabus for MCA 3rd Sem 2017 Pattern Mumbai University
Prerequisites:
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Course Educational Objectives (CEO):
At the end of the course, the students will be able to
- Study formulation, analysis and solving science, engineering and business problems.
- Study mathematics and mathematical modelling using computers to forecast the implications of various choices.
- Study the selection of the best alternatives from the available choices.
Course Outcomes:
At the end of the course, the students will be able to
- Apply Operations research methodology to a broad range of problems in business and industry.
- Use mathematics and mathematical modelling using computers to forecast the implications of various choices.
- Solve optimization problems.
- Think of new methods for solving optimization problems.
1. Nature of Operation Research
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2. Overview of Modeling Approach
Formulating the problem, Constructing a mathematical model, Deriving a solution, Testing a model and the solution, Establishing control over the solution, Implementation issues 02
3. Linear Programming
Introduction ,Graphical solution, Graphical sensitivity analysis, The standard form of linear programming problems, Basic feasible solutions, Simplex algorithm, Artificial variables, Big M and two phase method, Solution to Problems based on Degeneracy, Alternative optima, Unbounded solution, Infeasible solutions. 12
4. Dual Problem
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5. Transportation Problem
Starting solutions. North-west corner Rule – least cost methods – Vogels approximation method, MODI Method, Minimization and Maximization problem 05
6. Assignment Problem & Travelling Salesman Problem
Assignment Problem: Hungarian method (Minimization and Maximization) Traveling Salesman Problem: Branch & Bound technique, Hungarian method 05
7. Sequencing Problem
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8. PERT and CPM
Arrow network ,Time estimates, earliest expected time, latest allowable occurrence time, latest allowable occurrence time and slack time, Critical path, Probability of meeting scheduled date of completion of project, Calculation of CPM network ,Various floats for activities, Project crashing. 06
9. Replacement Theory
Replacement of items that deteriorate, Replacement of items that fail group replacement and individual replacement. 04
10. Integer Programming
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11. Game Theory
Two person Zero sum games, Solving simple games. 03
Reference Books:
- Operation Research-An Introduction: Taha H. A., McMillan Publishing Company, NY
- Introduction to Operation Research: Hillier F., and Lieberman G.J, Holden Day
- Operations Research : P. K. Gupta & Hira, S. Chand
- Operations Research Applications and Algorithms: Waynel L. Winston Thomson
- Mathematical Programming Techniques: Kambo, N.S., McGraw Hill
- Operations Research- Principles and Practice: Ravindran, Wiley Production
- Operations Research: L E Prasad, Cengage Learning
- Optimization Methods: K.V. Mital& Mohan New Age
- Operations Research: KantiSwaroop, Gupta P.K. Man Mohan, Sultan Chand and Sons
- Operation Research: S.D. Sharma
- Principles of Operation Research ( with applications to managerial decisions) – H.M Wagher,PHI, New Delhi
Assessment:
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For detail syllabus of all other subjects of Master of Computer Applications (MCA), 2017 regulation do visit MCA 3rd Sem Subjects syllabus for 2017 regulation.