UNIT-I Operations Research: Evolution, methodology and role in decision making; Linear programming: Meaning, assumptions, advantages, scope and limitations: Formulation of Problem of problem and its solution by graphical and simple methods; special cases in simplex method; infeasibility, degeneracy, unbounded ness and multiple optimal solutions; duality.
UNIT-II Transportation problems including tansshipment problems; Special cases in transportation problems; unbalanced problems, degeneracy; maximization objective and multiple optimal solutions; assignment problems including traveling salesman’s problem. Special cases in assignment problems; unbalanced problems, maximization objective and multiple optimal solutions.
UNIT-III PERT/CPM: Difference between PERT and CPM, network construction, calculating EST, EFT, LST, LFT and floats, probability considerations in PERT, time cost trade off. Decision theory: decision making under uncertainty and risk, Bayesian analysis, decision trees.
UNIT-IV Game theory, pure and mixed strategy games; principle of dominance; two person zero sum game; Queuing theory: concept, assumptions and applications; analysis of queue system, Poisson distributed arrivals and exponentially distributed service time model (MMI and MMK); simulation; meaning, process, advantages, limitations and applications.
SUGGESTED READINGS:
1. Paneerselvam, Operations Research, Prentice Hall of India, New Delhi
2. Taha, Operations Research: An Introduction, Prentice Hall of India, New Delhi.
3. Vohra, N.D; Quantitative Techniques in Management; Tata McGraw Hills Publishing company Ltd., New Delhi.
4. Kapoor, V.K., Operations Research; Sultan Chand & Sons, New Delhi.
5. Sharma, J. K., Operations Research; Theory and Applications, Macmillan India Ltd., ND.
6. Kalavathy, Operations Research, Vikas Publishing House, ND.
Note:
Instruction for External Examiner: The examiner will set 8 questions (2 questions from each unit). The students will be required to attempt five questions (selecting at least one question from each unit). All the five questions will carry equal marks
UNIT-II Transportation problems including tansshipment problems; Special cases in transportation problems; unbalanced problems, degeneracy; maximization objective and multiple optimal solutions; assignment problems including traveling salesman’s problem. Special cases in assignment problems; unbalanced problems, maximization objective and multiple optimal solutions.
UNIT-III PERT/CPM: Difference between PERT and CPM, network construction, calculating EST, EFT, LST, LFT and floats, probability considerations in PERT, time cost trade off. Decision theory: decision making under uncertainty and risk, Bayesian analysis, decision trees.
UNIT-IV Game theory, pure and mixed strategy games; principle of dominance; two person zero sum game; Queuing theory: concept, assumptions and applications; analysis of queue system, Poisson distributed arrivals and exponentially distributed service time model (MMI and MMK); simulation; meaning, process, advantages, limitations and applications.
SUGGESTED READINGS:
1. Paneerselvam, Operations Research, Prentice Hall of India, New Delhi
2. Taha, Operations Research: An Introduction, Prentice Hall of India, New Delhi.
3. Vohra, N.D; Quantitative Techniques in Management; Tata McGraw Hills Publishing company Ltd., New Delhi.
4. Kapoor, V.K., Operations Research; Sultan Chand & Sons, New Delhi.
5. Sharma, J. K., Operations Research; Theory and Applications, Macmillan India Ltd., ND.
6. Kalavathy, Operations Research, Vikas Publishing House, ND.
Note:
Instruction for External Examiner: The examiner will set 8 questions (2 questions from each unit). The students will be required to attempt five questions (selecting at least one question from each unit). All the five questions will carry equal marks
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