Bachelor of Commerce (B.Com.) Operations Research Syllabus - Mumbai University
This is the TY BCOM syllabus under NEP 2020, in force from the academic year 2026-27. The University still sets the earlier Choice Based syllabus below alongside it for ATKT candidates, so check which scheme your exam form names before you revise.
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Syllabus for Operations Research
Module I: Linear Programming Problems (LPP) (15) Unit I Introduction to OR: (3 lectures)
- Definitions and Scopes of OR, Applications of OR in various field,
- Characteristics and Limitations of OR.
- Unit II Linear Programming Problem:
- LPP formulations: (3 lectures) Maximization & Minimization. Concepts of Solution, Feasible Solution, Basic Feasible Solution, Optimal solution.
- Graphical method: (3 lectures) Graphical Solution for problems with two variables.
- Simplex method: (6 lectures) Simplex method of solving problems with two or more variables (only Maximization problems). Concepts of Slack, Surplus and artificial variable, Shadow Price of resources, scarce and abundant resources.
Module II: Assignment and Transportation Problems (15) Unit I Assignment Problems (7 lectures)
- Concept. Mathematical Formulation as LPP, Solution by: Complete Enumeration Method and Hungarian method. Maximization and Minimization Problems, Balanced and Unbalanced Problems.
- Prohibited assignment problem. Alternative solutions in Assignment problem. (Maximum of 5x5 matrix. Up to two iterations after row and column minimization) Unit II Transportation Problems (8 Lectures):
- Concept, Mathematical Formulation. Concepts of Solution, Feasible Solution. Initial Basic Feasible Solution by North West Corner Rule, Least Cost Method, Vogel’s Approximation Method.
- Optimal Solution by MODI Method. Optimality test, Improvement procedure. (Degeneracy concept to be covered only at conceptual level. Not to be included in numerical Problems)
Reference Books
- Operations Research: S.D. Sharma.11th edition, KedarNath Ram Nath& Company.
- Operations Research: H. A. Taha.6th edition, Prentice Hall of India.
- Operations Research: Kantiswaroop and Manmohan Gupta. 4th Edition; S Chand & Sons.
- Schaum Series book in O.R. Richard Broson. 2nd edition Tata Mcgraw Hill Publishing Company Ltd.
Reproduced from the University of Mumbai syllabus for Bachelor of Commerce (B.Com.) under NEP 2020, in force from the academic year 2026-27. Wording is as printed in that syllabus. Module numbering is as printed there too.
The complete syllabus
This subject is cut from the University circular for its year. Open a document here if you want the whole thing rather than a single subject.