Formulation and assumptions of Linear Programing Problems
Graphical
Solution Method of solving Linear Programming Problems
Solving Linear Programming
Problems using MS Excel Solver
Special Cases of Linear Programming Problems: Alternate
optimal solution
unbounded problems
Infeasibility.
Sensitivity Analysis
Range of optimality
Dual value
Limitations of classical sensitivity
analysis
Linear Programming Applications: Marketing (Media selection, Marketing Research)
Linear Programming Applications: Finance (Portfolio Management)
Linear Programming Applications: Operations (Production Scheduling, A Make-or-Buy
Decision)
Linear Programming Applications: workforce allocation
Advanced Linear
Programming Applications: Data Envelopment Analysis, Game Theory, Game Theory- B’s
perspective Dominance rule
Advanced Linear Programming Applications: Finance - Portfolio Models and Asset
Allocation for conservative and moderate risk-taking investor Introduction to Revenue management
Linear Programming Problem for Revenue Management
Distribution and Network Models: Transportation Problem and Transhipment Problem
Assignment Problem
Shortest Path Problem
Maximum flow problem
Production and Inventory problem
Non-Linear Optimization Models: Markowitz Portfolio Model and its variants Forecasting adoption of a new product- Bass Forecasting Model
Application of Non-linear Programming for Pricing Project Scheduling: PERT/CPM, Earliest Starting and Earliest Finishing times of activities Forward Pass, Latest Starting and Latest Finishing times of activities, Backward Pass, Slack.
Project Scheduling for uncertain activities
Expected duration of an activity
Variance of an activity
Finding the probability of a path meeting the deadline
Time–Cost trade-offs
Crashing Activity Times
Linear Programming Model for Crashing
Inventory Models: Economic
Order Quantity (EOQ) Model
Non-Linear Programming for finding EOQ
Reorder point
Inventory Model with Planned Shortages
Quantity Discounts for the EOQ Model
Single-period Inventory Model with
Probabilistic Demand
Multi-Period Order-Quantity
Reorder Point Model with Probabilistic
Demand
Periodic Review Model (P-type) with Probabilistic Demand
Financial risks associated
with the development of a new product: Simulation
Risk Analysis
Waiting Line Models Structure of a waiting line System
Single-Server waiting line model with Poisson Arrivals
Multiple-Server waiting line model with Poisson Arrivals
waiting line models
Simulation: Risk Analysis: What-if analysis, Inventory simulation, Waiting Line simulation, Simulation with two Quality Inspectors, other simulation issues.
Decision Analysis: Formulation, Decision Making without Probabilities, Decision Making with Probabilities, Risk and Sensitivity Analysis, Computing Branch Probabilities with Baye’s Theorem, Utility Theory
Multi criteria Decisions
Time Series Analysis and Forecasting Time Series Patterns