Operations Research and Management

Mathematical optimisation techniques for decision-making — linear programming, transportation and assignment problems, queuing theory, and simulation.

Instructor: Tushar R. Mahore

Term: AY 2021–22

Location: Dr. Rajendra Gode Institute of Technology & Research, Amravati

Course Overview

Operations Research applies mathematical modelling to optimise complex decision problems in engineering, logistics, and management.

Topics Covered

Introduction to OR: modelling, problem formulation
Linear Programming: graphical method, Simplex method
Duality and sensitivity analysis
Transportation problem: NWCM, Vogel’s approximation, MODI method
Assignment problem: Hungarian method
Network models: CPM, PERT
Queuing theory: M/M/1, M/M/s models
Game theory: minimax, saddle points, mixed strategies
Simulation: Monte Carlo methods
Decision theory: decision trees, payoff tables

Tools

Python (SciPy, PuLP), Excel Solver

Materials

Course materials will be uploaded here. Contact mahoretushar@gmail.com for resources.