Operation Research


Dr. Mohammed Siddique


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Operation Research

Code (Credit): CUNT2483 (3-0-1)

Course Outline


Linear programming problem, simplex methods: Introduction to Operations Research: Basics definition, scope, objectives, models and limitations of Operations Research. Linear Programming Problem – Formulation of LPP, Graphical solution of LPP. Simplex method, Artificial variables, big-M method, two-phase method, degeneracy, and unbound solutions.

Module -II:

Duality in Linear Programming: Introduction, General primal-dual pair, formulating a primal-dual problem, Duality theorems, Duality in simplex method, Dual simplex method.


Inventory Controls: Introduction, Inventory decision, Cost associate with inventories, Factor affecting inventory control, Economic order quantity (EOQ).

Module - IV:

Deterministic inventory problem with no shortages, Deterministic inventory problem with shortages, and Economic order quantity (EOQ) problem with price breaks.

Module – V:

Elementary queuing theory: Introduction, Queuing system, Elements of queuing system, Operating characteristics of queuing system.

Module – VI:

Probability distribution in queuing systems, Classification of queuing models, Definition of transient and steady state.

 Module – VII:

Steady-state solutions of Markovian queuing models: M/M/1, M/M/1 with limited waiting space, M/M/C, M/M/C with limited waiting space, M/G/1.


Project on Inventory management system

Project on queuing theory

Text Books:

  1. Kanti Swarup, P.K. Gupta and Man Mohan-Operations Research, S. Chand and Co. Pvt. Ltd.
  2. Engineering Optimization Theory and Practice by Singiresu S. Rao, JOHN WILEY & SONS, INC., Fourth Edition

Reference Book:

  1. Mathematical Programming by N. S. Kambo, East West Press.

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Our Main Teachers

Dr. Mohammed Siddique

Asst. Prof. Department of Mathematics

Dr. Mohammed Siddique, received Ph. D in Mathematics in the area of Optimization Techniques and Machine Learning from KIIT, Deemed to be University, Bhubaneswar and completed his M.Sc in Mathematics and M.Tech in Computer Science from Utkal University, Bhubaneswar.  He is having more than 16 years of teaching experience. He is having more than 50 […]