OPERATION RESEARCH

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Unit I : Introduction to OR and Linear Programming

  • Operation Research – Introduction, Models, Areas of Application. Linear Programming (L.P.): Mathematical Formulation of L.P. problem.
  • Graphical Method. Simplex Method – Concept of slack, surplus & artificial variables. Manual solutions of L.P.P. upto 3 iterations. Minimization & Maximization Problems.
  • Special Cases – (i) Alternative optima (ii) Unbounded solutions & (iii) Infeasible solutions to be shown graphically & also by simplex method.

 

Unit II : Transportation & Assignment Models

  • Definition of the transportation model. Balanced / Unbalanced, Minimization / Maximization. Determination of the initial basic feasible solution using (i) North-West Corner Rule (ii) Least cost method & (iii) Vogel’s approximation method for balanced & unbalanced transportation problems. Optimality Test & obtaining of optimal solution. (Considering per unit transportation cost)
  • Assignment Problem – Hungarian method.
  • Statement of Transportation & Assignment Problems as L.P. Problems.

 

Unit III : Network Analysis

  • Construction of Network – Rules & Precautions.
  • C.P.M. & P.E.R.T. Networks. Obtaining of Critical Path. Time estimates for activities. Probability of completion of project. Determination of floats (total, free, independent & interfering) Crashing of Simple Networks.

 

Unit IV : Decision Theory And Decision Tree

  • Decision Environments – risk & uncertainty, Payoff table, Regret table.
  • Decision making under uncertainty
  • Maximin & Maximax criteria
  • Minimax Regret criterion
  • Laplace criterion
  • Hurwicz criterion
  • Expected Monetary Value criterion.
  • Expected Value of Perfect Information (E.V.P. I.)
  • Expected Opportunity Loss (E.O.L.).
  • Decision Tree, Simple examples

 

Recommended  books :

 

  1. Operations Research – An introduction 6th Edition , Taha H.A., Hall of India
  2. Operations Research Techniques for Management 7th Edition, Kapoor V.K., Sultan Chand & Sons
  3. Operations Research 9th Edition, Kantiswarup, Gupta P.K. & Sultan Chand & Sons Manmohan
  4. Operations Research 8th Edition, Sharma S.D., Kedarnath, Ramnath & Company
  5. Operations Research 2nd Edition, Bronson R, Shaum’s Outline Series
  6. Quantitative Techniques in Management 3rd Edition , Vora N.D., Tata McGraw Hill co.
  7. Principles & Application 3rd Ed, Shreenath L.S., PERT & CPM, Affiliated East-West Press Pvt. Ltd.
  8. Principles of Operations Research 2nd Edition, Wagener H.M., Prentice – Hall of India
  9. Operations Research – Methods & Problems 1st Edition , Sasieni M, Yaspan A & John Wiley & Sons Friedman L
  10. Operations Research, Natrajan Balasubramani, Tamilarasi, Pearson Education
  11. Linear Programming, G. Hadley, Narosa Book Distributors Private Ltd
  12. Quantitative Techniques (For Managerial Decisions VOL I), L.C. Jhamb, Everest Publishing House, Pune.
  13. Linear Programming, Paul Loomba, Tata McGraw Hill Publishing Co. Ltd.
  14. Operations Research Edition 2008, Aditham B. Rao, Jaico Publishing House, Mumbai,

 

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