These Operations Research Notes (BBA 3rd Semester), this subject introduces students to the quantitative methods used for solving practical business and operational problems. It helps learners understand how problems can be converted into mathematical models, how different alternatives can be evaluated, and how an optimal or near-optimal solution can be identified. The subject connects mathematical reasoning with areas such as production, transportation, resource allocation, inventory, projects, and business planning.
The notes cover important areas of Operations Research, including linear programming and its applications, transportation and assignment problems, decision-making techniques, inventory models, queuing systems, and network analysis. Students can use these concepts to understand how quantitative techniques are applied to improve the use of business resources, reduce unnecessary costs, and support more systematic decision-making.
Download Operations Research Notes – Unit Wise
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Course Units
Unit 1: Introduction to Operations Research and Linear Programming
Topics Covered: Fundamentals of Operations Research covering its meaning, origin, scope, characteristics, applications, methodology, types of models and limitations, along with Linear Programming concepts, assumptions, formulation, graphical method, feasible regions, special cases, simplex method, Big-M and Two-Phase methods, duality, and economic interpretation of shadow prices.
Unit 2: Transportation and Assignment Problems
Topics Covered: Transportation and assignment problems covering mathematical formulation, balanced and unbalanced transportation problems, initial basic feasible solutions using North-West Corner, Least Cost and Vogel’s Approximation methods, optimality testing using MODI, degeneracy, maximisation and prohibited routes, Hungarian method for assignment problems, unbalanced and multiple optimal assignments, and the Travelling Salesman Problem.
Unit 3: Network Analysis — PERT and CPM
Topics Covered: Network analysis covering project planning and scheduling, activities and events, network diagrams, CPM forward and backward pass calculations, critical path, floats and slack, project crashing and time-cost trade-off, PERT with optimistic, most likely and pessimistic time estimates, expected time, variance, project completion probability, and comparison of PERT and CPM.
Unit 4: Queuing Theory and Game Theory
Topics Covered: Queuing and game theory covering queuing system components, arrival and service processes, queue disciplines, Kendall’s notation, M/M/1 and M/M/c models, utilisation and performance measures, Little’s Law, queuing cost analysis, game theory concepts and classifications, two-person zero-sum games, saddle point, pure and mixed strategies, dominance principle, graphical methods, Nash equilibrium, Prisoner’s Dilemma, and business applications.
Unit 5: Inventory Models and Decision Theory
Topics Covered: Inventory management and decision theory covering types and costs of inventory, Economic Order Quantity (EOQ), quantity discounts, shortages, Economic Production Quantity (EPQ), reorder point and safety stock, ABC analysis, Just-in-Time (JIT), Kanban and pull production, simulation and Monte Carlo simulation, random number generation, and applications of simulation in inventory, queuing and project risk analysis.
What is Operations Research?
Making business decisions is rarely as simple as choosing the option that appears best at first glance. Organizations have limited resources, time, money, manpower, and capacity, so managers need systematic methods to compare alternatives and identify solutions that offer the best possible outcome. Operations Research (OR) provides a scientific and analytical approach to solving such complex decision-making problems.
In BBA 3rd Semester, Operations Research introduces students to mathematical models and quantitative techniques that can be applied to real business situations. The subject connects management concepts with analytical decision-making through topics such as Linear Programming, Transportation and Assignment Problems, PERT and CPM, Queuing Theory, Game Theory, Inventory Management, and Simulation. The syllabus also covers applications of OR in areas including production planning, inventory management, transportation, scheduling, project management, finance, and marketing.
These notes will help you understand important topics such as:
- Operations Research and Linear Programming: Understanding the OR approach, mathematical models, decision variables, objective functions, constraints, graphical methods, Simplex Method, Big-M Method, Two-Phase Method, and duality.
- Transportation and Assignment Problems: Learning transportation models, North-West Corner Rule, Least Cost Method, Vogel’s Approximation Method, MODI method, Hungarian Method, and special cases.
- Network Analysis — PERT and CPM: Understanding project networks, critical paths, floats, project scheduling, crashing, expected activity time, and project completion probabilities.
- Queuing and Game Theory: Studying waiting-line systems, arrival and service processes, M/M/1 models, performance measures, competitive strategies, saddle points, mixed strategies, and Nash equilibrium.
- Inventory Models and Decision Techniques: Exploring inventory costs, EOQ, reorder points, safety stock, ABC analysis, Just-in-Time systems, and simulation techniques used for business decision-making.
Whether you are preparing for BBA semester examinations, solving numerical problems, completing assignments, or developing quantitative decision-making skills, these notes are designed to give you a structured understanding of Operations Research and its role in modern business management.