1. Operations Research : Origin of Operation Research, Historical Standpoint, Methodology, Different Phases, Characteristics, Scope and Application of Operations Research. Linear Programming Problem : Introduction, Requirement of LP, Basic Assumptions, Formulation of LP, General Statement of LP, Solution techniques of LP : Graphical Methods, Analytical Methods : Simplex, Big M and Two Phase, Special Case of LP Problem, Graphical Sensitivity Analysis. Introduction of Primal and Dual Problems, Economic Interpretation. Introduction of Goal and Integer Programing. Dynamic Programming : Steps involved in dynamic programming, characteristics and explanation of dynamic programming, formulation of Deterministic and probabilistic dynamic programming. (Chapters - 1, 2, 3) 2. Transportation and Assignment : Transportation Problems definition, Linear form, Solution methods : North west corner method, least cost method, Vogel’s approximation method. Degeneracy in transportation, Modified Distribution method, Unbalanced problems and profit maximization problems. Transhipment Problems. Assignment Problems and Travelling sales man Problem. (Chapters - 4, 5) 3. Queuing Theory : Basis of Queuing theory, elements of queuing theory, Kendall’s Notation, Operating characteristics of a queuing system, Classification of Queuing models, Preliminary examples of M/M/1:∞/∞/FCFS. (Chapter - 6) 4. Replacement Theory : Introduction, Replacement of capital equipment which depreciated with time, replacement by alternative equipment, Group and individual replacement policy. (Chapter - 7) 5. Game Theory : Introduction, Characteristics of Game Theory, Two Person, Zero sum games, Pure strategy. Dominance theory, Mixed strategies (2 2, M 2), Algebraic and graphical methods. (Chapter - 8) 6. Decision Theory : Introduction, Decision under certainty, Decision under risk, Decision under uncertainty : 7. Project Management :
