Semester - VI, Paper-VIII Syllabus


OSMANIA UNIVERSITY

B.Sc. III Year, VI Semester (CBCS): Statistics Syllabus

Paper-VIII A: Operations Research (DSE-2F)
(3 HPW with 3 Credits and 60 Marks)

Unit –I
Operations Research: Meaning and scope of OR. Convex sets and their properties. Definition of general LPP. Formulation of LPP. Solution of LPP by graphical method. Statements of Fundamental theorem of LPP and other related theorems. Simplex algorithm.
Concept of artificial variables. Big –M /Penalty method and two-phase simplex methods. Concept of degeneracy and resolving it.

Unit –II
Concept of duality of LPP. Dual Primal relationship, Statement of Fundamental Theorem of Duality.
Definition of Transportation problem, TPP as a special case of LPP, Initial basic feasible solutions by North-West Corner Rule, Matrix minimum method and VAM. Optimal solution through MODI tableau and Stepping Stone method for balanced and unbalanced transportation problem.

Unit –III
Degeneracy in TP and resolving it. Concept of Transshipment problem.
Formulation and description of Assignment problem and its variations. Assignment problem as special case of TP and LPP. Unbalanced assignment problem, optimal solution using Hungarian method and Travelling Salesman problem and its solution.
Problem of Sequencing. Optimal sequence of N jobs on two and three machines without passing.


Reference Books:
1. Kanti Swaroop, P.K.Gupta and ManMohan: Operations Research. Sultan Chand.
2. S.D. Sharma: Operations Research
3. J.K. Sharma: Operations Research Theory and Applications. Macmillan Publishers India LTD.
4. Parikriya Parishodhana - Telugu Academy.
  


Practical Paper-VIII: (Practical using MS-Excel and TORA) (DSC-2F)
(with 2 HPW, Credits 1 and Marks 25)


Operations Research
1. Solution of L.P. problem by Graphical method.
2. Solution of L.P. problem by simplex method.
3. Solution of L.P. problem by Big-M and two-phase simplex method.
4. Optimum solution to balanced and unbalanced transportation problem using North-West
corner rule, Matrix minimum method and Vogel’s approximation method for IBFS.
5. Solution of Assignment problem for both maximization and minimization
6. Solution of travelling salesman problem.
7. Computation of Optimal Sequence and idle time for N jobs on 2 and 3 machines.

Designs of Experiments
8. Analysis of CRD
9. Analysis of RBD with and without missing observation. Comparison of RBD with CRD
10. Analysis of LSD with and without missing observation. Comparison of LSD with RBD and CRD

Vital Statistics
11. Computation of Morality rates, Fertility rates and Reproduction rates.
12. Construction of life tables and abridged life tables.


Note: The question paper consists of TWO sections. Section A Consists of 2 Questions from Paper VIII Practical and Section B consists of 2 questions on MS Excel from Semesters II and IV respectively.





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