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Operational Research-II  (Code-09050606)




Hours as per UGC


  • Inventory Control:introduction of inventory, factors affecting inventory, Inventory models

Must know


  • Deterministic models: Economic order quantity model when shortages are allowed/not allowed
  • Price discounts model
  • Multi-item inventory models


  • Queuing Theory: Basic characteristics of queuing system

must know


  • Birth-death equations
  • Steady state solution of Markovian queuing models with single and multiple servers(M/M/1) and M/M/c), with limited capacity(M/M/1/K and M/M/c/K)


  • Sequencing problems:Processing of n jobs through 2 machines, n jobs through 3 machines

Must know


  • 2 jobs through m machines, n jobs through m machines
  • Replacement problems: Replacement of items whose running cost increases with time
  • Replacement policies for the items that fail completely-individual and the group replacement policies


  • PERT and CPM: Introduction of PERT and CPM

Nice to know


  • Earliest and latest times
  • Determination of critical path and various types of floats
  • Probabilistic and cost considerations in project scheduling

Books Recommended:

  •     I. Sharma, J. K., Mathematics Model in Operations Research, Tata McGraw Hill.
  •     Taha. H.A. Operations Research – An Introduction.
  •     Kanti Swarup,  Gupta,  P. K. And Manmohan. Operations Research.
  •     Gupta,  P. K. And Hira, D. S.  Operation  Research, S. Chand & Co.
  •     S.D Sharma Imtroduction to Operations Research.
  •     Mokhtar S. Bazaeaa, John J. Jarvis and Hanif D. Sherali ,Linear Programming and Network Flows, 2nd Ed., John Wiley and Sons, India 2004,
  •      F. S. Hillier and G.J. Lieberman, Introduction to Operations Research, 9th Ed., Tata McGraw Hill Singapore, 2009.
  • Hamdy A. Taha, Operations Research, Introduction, 8th Ed. Prentice-Hall India, 2002.
  • G Hadley Linear Programming, Narosa  Publishing House, New Delhi, 2002.