B.E. (Chemical Engineering) Institute Level Optional Subject I Operations Research Syllabus - Mumbai University 2026
The University has moved this degree onto NEP 2020 one year at a time. The first and second years are NEP 2020 syllabi; the third and fourth years are still examined on the REV-2019 'C' Scheme, which is what the University sets for them this year.
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Syllabus for Institute Level Optional Subject I- Operations Research
Module 1: Introduction to Operations Research: Introduction, , Structure printed in the syllabus as Module Detailed Contents
- 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 Vogel’s 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, Gomory’s cutting plane Algorithm, Branch and Bound Technique. Introduction to Decomposition algorithms.
Module 2: Queuing models: queuing systems and structures, single printed in the syllabus as Module Detailed Contents
- server and multi-server models, Poisson input, exponential service, constant rate service, finite and infinite population
Module 3: Simulation: Introduction, Methodology of Simulation, Basic printed in the syllabus as Module Detailed Contents
- Concepts, Simulation Procedure, Application of Simulation Monte-Carlo Method: Introduction, Monte-Carlo Simulation, Applications of Simulation, Advantages of Simulation, Limitations of Simulation
Module 4: Dynamic programming. Characteristics of dynamic printed in the syllabus as Module Detailed Contents
- programming. Dynamic programming approach for Priority Management employment smoothening, capital budgeting, Stage Coach/Shortest Path, cargo loading and Reliability problems.
Module 5: Game Theory. Competitive games, rectangular game, saddle printed in the syllabus as Module Detailed Contents
- 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.
Module 6: Inventory Models: Classical EOQ Models, EOQ Model with printed in the syllabus as Module Detailed Contents
- Price Breaks, EOQ with Shortage, Probabilistic EOQ Model,
References
- 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, Kedar Nath Ram Nath-Meerut.
- 5 Operations Research, Kanti Swarup, P. K. Gupta and Man Mohan, Sultan Chand & Sons.
Reproduced from the University of Mumbai syllabus for B.E. (Chemical Engineering) under R-2019 'C' Scheme, in force from the academic year 2022-23. Wording is as printed in that syllabus. Modules are numbered in sequence here; in the syllabus itself, Module 1 is printed as Module Detailed Contents; Module 2 is printed as Module Detailed Contents; Module 3 is printed as Module Detailed Contents; Module 4 is printed as Module Detailed Contents; Module 5 is printed as Module Detailed Contents; Module 6 is printed as Module Detailed Contents. The PDF above is the syllabus's own page, unaltered.
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.