MSM2402 - Operations Research

HNGU M.SC. MATHEMATICS SEMESTER - 4

MSM2402 – OPERATIONS RESEARCH

Revision:

• Linear Programming
• Graphical method
• Simplex method
• Duality
• Two –Phase Simplex method
• Transportation problems
• Assignment problems

Unit-I: 

• Sequencing and Networks
• Sequencing –Problem with N jobs and 2 machines - 3 machines and M machines
• Network models – Basic Concepts – Construction of Networks
• Project Network – CPM and PERT - Critical Path`Scheduling
• Crashing of Network

Unit II:

• Inventory Models – Various Costs and Concepts–EOQ
• Deterministic inventory models
• Production models
• Stochastic Inventory models
• Buffer stock

Unit III: 

• Queuing Models
• Poisson arrivals and Exponential service times
• Single channel models and Multi channel models
• Simulation – Basic concepts – Advantages and Disadvantages
• Random number generation
• Monte-Carlo Simulation
• Simulation models

Unit IV: 

• Decision Models
• Game theory
• Two person zero sum game
• Graphic solution
• Property of dominance
• Algebraic solution
• Replacement models
• Items that deteriorate with time
• When money value changes – Items that fail completely
• Individual replacement and Group replacement.

Download Reference Books:

Text Books: Operations Research - Kanti Swarup, Gupta P.K. & Manmohan, (2001), S.Chand & sons.

1. Operations Research - Hamdy Taha, PHI (1999).

2. Operations Research - Hira and Gupta, S. Chand & Sons (2001).

3. Operation Research - Panneerselvan. R., Prentice Hall of India Pvt Ltd (2006).

4. Operations Research – Theory and Application 4th Edition - J. K. Sharma, Macmillan Publishers India Ltd.

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