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Syllabus

UNIT
1
Relations & Functions

Relations – Types of Relations – Equivalence relations, Matrices of Relations – Functions – Types of function, Inverse function

UNIT
2
Logic Connectives

Logic – Introduction - Connectives - Equivalence formulas – Tautological implications -Normal forms – (PCNF &PDNF)

UNIT
3
Linear Programming

Linear Programming - Formulation – Graphical method and Simplex Method

UNIT
4
: Transportation & Assignment problems

Transportation Problems Balanced and unbalanced transportation problems – Finding IBFS using NWC, LCM and VAM methods (non degenerate solutions only) – Optimal solution using MODI method. Assignment problems – solving unbalanced and unbalanced assignment problems using Hungarian method.

UNIT
5
CPM & PERT

CPM - Principles - Construction of Network for projects – Types of Floats. PERT- Time scale analysis - critical path - probability of completion of project - Advantages and Limitations.

Reference Book:

1. Operations Research, Kanti Swarup, Gupta R.K, Manmohan, S .Chand & Sons Education Publications, New Delhi, 12th revised Edition. 2. Problems in Operations Research – Manmohan , P.K.Guptha

Text Book:

1. Discrete Mathematics by Prof. V. Sundaresan, K.S. Ganapathy Subramanian, K. Ganesan –Nov.2002, A.R. Publications Unit I: Chapter 1: Section 1.11 to 1.17, 1.23, 1.24, 1.28 to 1.36 Unit II: Chapter 2: Section 2.1 to 2.4 2. Resource Management Techniques by Prof.V.Sundaresan, K.S.Ganapathy Subramanian & K.Ganesan, .A.R. Publications.

 

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