B.E. (Chemical Engineering) 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 Operations Research
Module 1: Introduction to Operations Research: Introduction, Structure of the printed in the syllabus as Module Contents
- Mathematical Model, Historical Standpoint, Methodology, Different Phases, Characteristics, Scope and Application of Operations Research in Chemical Engineering, Limitations of Operations Research. Linear Programming: Introduction, Requirement of LP, Basic Assumptions, Formulation of LP, General Statement of LP, Solution techniques of LP: Graphical method, Simplex Method Penalty Cost Method or Big M-method, Duality, Primal – Dual construction, Dual- Simplex Method, Sensitivity Analysis
Module 2: Transportation and Assignment: Formulation, solution, unbalanced printed in the syllabus as Module Contents
- Transportation problem. Finding basic feasible solutions – Northwest corner rule, least cost method and Vogel’s approximation method. Optimality test: MODI method. Assignment Problem: Introduction, Mathematical Formulation of the Problem, Hungarian Method Algorithm, Processing of n Jobs Through Two Machines and m Machines, Travelling Salesman Problem
Module 3: Queuing Theory: Basis of Queuing theory, elements of queuing theory, printed in the syllabus as Module Contents
- Kendall’s Notation, Operating characteristics of a queuing system, Classification of Queuing models, Preliminary examples of M/M/1:∞/FCFA/ Sequencing: Basic assumptions, Johnson’s algorithm, sequencing ‘n’ jobs on single machine using priority rules, sequencing using Johnson’s rule-‘n’ jobs on 2 machines, ‘n’ jobs on 3 machines.
Module 4: Inventory Models: Inventory classification, Different cost associated to printed in the syllabus as Module Contents
- Inventory, Economic order quantity, Classic EOQ Model (demand rate uniform, replenishment rate infinite), ABC analysis.
Module 5: Decision Analysis and Game Theory: Decision Making under Certainty, printed in the syllabus as Module Contents
- Decision Making under Risk, Decision Under Uncertainty (ONLY NUMERICAL PROBLEMS) 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. (ONLY NUMERICAL PROBLEMS)
Module 6: Network Models: Scope and Definition of Network Models, Minimal printed in the syllabus as Module Contents
- Spanning Tree Algorithm, Shortest Route Problem, Maximal Flow Model. Total Hours Course Outcomes:
References
- 1 Taha, H.A. "Operations Research - An Introduction", Prentice Hall.
- 2 Ravindran, A, Phillips, D. T and Solberg, J. J. "Operations Research: Principles and Practice",
- 3 Hiller, F. S. and Liebermann, G. J. "Introduction to Operations Research", Tata McGraw Hill.
- 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 Contents; Module 2 is printed as Module Contents; Module 3 is printed as Module Contents; Module 4 is printed as Module Contents; Module 5 is printed as Module Contents; Module 6 is printed as Module Contents. The PDF above is the syllabus's own page, unaltered.
The complete syllabus
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