Operations Research Notes is a discipline that applies advanced analytical methods to help make better decisions and solve complex problems. It combines mathematics, statistics, computer science and engineering to optimize processes, resources and outcomes in various fields such as business, logistics, manufacturing and healthcare.
“Operations Research Notes“ techniques include linear programming, simulation, queuing theory and decision analysis, among others. It is a valuable tool for both operational and strategic decision-making. It also provides valuable insights into resource utilization and cost-saving All notes provided by Study Hub Zone
Operations Research Notes: ALL UNITS
Unit 1: Introduction to Operations Research
Introduction to Operations Research provides an overview of the field that focuses on applying mathematical models, analytical methods.
Unit 2: Linear Programming Problem (LPP)
Linear Programming Problem (LPP) is a mathematical technique used to optimize a specific objective, such as maximizing profit or minimizing cost.
Unit 3: Transportation and Assignment Problems
Transportation and Assignment Problems are specialized types of Linear Programming Problems that focus on optimizing resource allocation and minimizing costs.
Unit 4: Decision Theory and Game Theory
Decision Theory and Game Theory are analytical tools used to make optimal choices in complex and competitive scenarios.
Unit 5: Network Analysis and Queuing Theory
Network Analysis and Queuing Theory are vital tools in operations research and decision-making.
Syllabus: Operations Research (OR)
UNIT – 1
(a) Introduction to Operations Research (OR):
Definition, nature, scope, and significance
Applications of OR in business and management
Characteristics and limitations of OR
OR process and modeling approach
(b) Linear Programming – I:
Formulation of Linear Programming Problems (LPP)
Assumptions and applications of LPP
Graphical method – maximization and minimization problems (two variables only)
UNIT – 2
Linear Programming – II:
Simplex Method – basic concept and structure (non-degenerate cases)
Duality in linear programming – meaning and economic interpretation
Advantages and limitations of simplex method
UNIT – 3
Transportation and Assignment Problems:
Transportation Problem:
Basic feasible solution – NWCM, LCM, Vogel’s Approximation
Optimality test – MODI method
Unbalanced problems
Assignment Problem:
Definition and applications
Hungarian method for solving assignment problems
Unbalanced and maximization assignment problems
UNIT – 4
Decision Theory and Game Theory:
Decision Theory:
Decision-making under certainty, risk, and uncertainty
Payoff matrix, expected value approach, regret matrix
Game Theory:
Basic concepts and terminology
Two-person zero-sum games
Saddle point, pure and mixed strategy (2×2 games only)
UNIT – 5
Network Analysis and Queuing Theory:
Network Analysis:
Project scheduling by PERT and CPM
Critical path, floats, and project duration
Time-cost trade-off and crashing (concept only)
Queuing Theory:
Basic concepts, structure of a queuing system
Single-channel Poisson arrivals with exponential service time (M/M/1 model – basic level)