# Operation Research Semester 6 (TE Third Year) BE Computer Engineering University of Mumbai Topics and Syllabus

University of Mumbai Syllabus For Semester 6 (TE Third Year) Operation Research: Knowing the Syllabus is very important for the students of Semester 6 (TE Third Year). Shaalaa has also provided a list of topics that every student needs to understand.

The University of Mumbai Semester 6 (TE Third Year) Operation Research syllabus for the academic year 2022-2023 is based on the Board's guidelines. Students should read the Semester 6 (TE Third Year) Operation Research Syllabus to learn about the subject's subjects and subtopics.

Students will discover the unit names, chapters under each unit, and subtopics under each chapter in the University of Mumbai Semester 6 (TE Third Year) Operation Research Syllabus pdf 2022-2023. They will also receive a complete practical syllabus for Semester 6 (TE Third Year) Operation Research in addition to this.

CBCGS [2018 - current]
CBGS [2014 - 2017]
Old [2000 - 2013]

## University of Mumbai Semester 6 (TE Third Year) Operation Research Revised Syllabus

University of Mumbai Semester 6 (TE Third Year) Operation Research and their Unit wise marks distribution

## Syllabus

### University of Mumbai Semester 6 (TE Third Year) Operation Research Syllabus for Modeling With Linear Programming

201 Two-variable LP Model
202 Graphical LP Solution
• Solution of a Maximization Model
• Solution of a Minimization Model
203 Computer Solution With Solver And AMPL
• LP solution with Excel Solver
• LP Solution with AMPL
204 Linear Programming Applications
• Investment
• Product Planning and Inventory Control
• Manpower Planning
• Urban Development Planning
• Blending and Refining

### University of Mumbai Semester 6 (TE Third Year) Operation Research Syllabus for The Simplex Method And Sensitivity Analysis

301 LP Model In Equation Form
302 Transition From Graphical To Algebraic Solution
303 The Simplex Method
• Iterative Nature of the Simplex Method
• Computational details of the Simplex algorithm
• Summary of the Simplex Method
304 Artificial Starting Solution
• M-Method
• Two-Phase Method
305 Special Cases In The Simplex Method
• Degeneracy
• Alternative Optima
• Unbounded Solution
• Infeasible Solution
306 Sensitivity Analysis
• Graphical Sensitivity Analysis
• Algebraic Sensitivity Analysis – Changes in the Right­hand side
• Algebraic Sensitivity Analysis – Objective function
• Sensitivity Analysis with Tora, Solver, and Ampl
307 Computational Issues In Linear Programming

### University of Mumbai Semester 6 (TE Third Year) Operation Research Syllabus for Duality and Post-optimal Analysis

401 Definition Of The Dual Problem
402 Primal-dual Relationships
• Review of Simplex Matrix Operations
• Simplex Tableau Layout
• Optimal Dual Solution
• Simplex Tableau Computations
403 Economic Interpretation of Duality
• Economic Interpretation of Dual Variables
• Economic Interpretation of Dual Constraints
• Dual Simplex Algorithm
• Generalized Simplex Algorithm

### University of Mumbai Semester 6 (TE Third Year) Operation Research Syllabus for Transportation Model And Its Variants

501 Definition Of The Transportation Model
503 The Transportation Algorithm
• Determination of the Starting Solution
• Iterative Computations of the Transportation Algorithm
• Simplex Method Explanation of the Method of Multipliers
504 The Assignment Model
• The Hungarian Method
• Simplex Explanation of the Hungarian Method

### University of Mumbai Semester 6 (TE Third Year) Operation Research Syllabus for Decision Analysis

601 Decision Making Under Certainty
• Analytic Hierarchy Process (AHP)
602 Decision Making Under Risk
• Decision Tree-Based Expected Value Criterion
• Variants of the Expected Value Criterion
603 Decision Under Uncertainty

### University of Mumbai Semester 6 (TE Third Year) Operation Research Syllabus for Stimulation Modeling

701 Monte Carlo Simulation
702 Types Of Simulation
703 Elements Of Discrete Event Simulation
• Generic Definition of Events
• Sampling from Probability Distributions

### University of Mumbai Semester 6 (TE Third Year) Operation Research Syllabus for Nonlinear Programming Algorithms

801 Unconstrained Algorithms
• Direct Search Method
802 Constrained Algorithms
• Separable Programming