Chapter - I Development-definition-characteristics and phases-Types of models-Operations Research models industrial applications.

Chapter - II Linear Programming Problem Formulation-Graphical solution- Simplex method-Artificial variable techniques: Two-phase method, Big-M method.

Chapter - III Transportation problem - Formulation-Optimal solution, unbalanced transportation problem Degeneracy.

Chapter - IV Assignment problem- Formulation-Optimal solution,- Variants of Assignment problem- Travelling salesman problem.

Chapter - V Sequencing- Introduction-Flow-Shop sequencing- n jobs through two machines – n jobs through three machines- Job shop sequencing-two jobs through ‘m’ machines

Chapter - VI Replacement: Introduction- Replacement of items that deteriorate with time- when money value is not counted and counted- Replacement of items that fail completely- Group Replacement.

Chapter - VII Theory of Games: Introduction- Terminology- Solution of games with saddle points and without saddle points. 2 x 2 games- dominance principle- m x 2 & 2 x n games- Graphical method.

Chapter - VIII Inventory: Introduction- Single item, Deterministic models- purchase inventory models with one price break and multiple price breaks- Stochastic models _ Demand may be discrete variable or continuous variable- single period model and no setup cost.

Chapter - IX Waiting lines: Introduction- Terminology- Single channel- Poisson arrivals and Exponential service times with infinite population.

Chapter - X Dynamic Programming: Introduction- Terminology, Bellman’s principle of optimality- Applications of Dynamic programming- shortest path problem- linear programming problem.