JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

MT743PE: MATHEMATICAL MODELING AND SIMULATION

B.Tech IV Year I Semester (R16)

UNIT - I

Art of Modeling, Types of models, mathematical models – solution methods – analytical, Numerical and Heuristic. L.P.P. – Formulation – Graphical Method, simplex method, dual simplex method and application. Transportation models – Assignment models, Integer programming, Non-linear programming.

UNIT - II

Deterministic Inventory models – General Inventory model, Static E.O.Q. Models, Dynamic Inventory model, Probabilistic Inventory models, continuous Review models, single period model, and multiple period models. Selective Inventory control – ABC, VED, FSN Analysis. Inventory systems – Fixed order quantity system, two bin system, periodic review systems, Optional Replenishment system and M R P.

UNIT - III

Queuing Theory – Basic Structure of Queuing Models, Role of Exponential Distribution, Birth-and-Death Process, Queuing Models Based on the Birth-and- Death Process, Queuing Models involving Non-exponential Distributions, Priority-Discipline Queuing Models and Queuing Networks. Applications of Queuing Theory – Decision Making, Formulation of Waiting – Cost Function and Decision Models.

UNIT - IV

CPM and PERT – Network Representation, Critical path calculation, construction of Time schedule. Simulation – Introduction, General principles, Random-Number Generation, Random- Variate Generation, Simulation Software.

UNIT - V

Input modeling, verification and validation of simulation models, Output Analysis for a single model, Comparison and Evaluation of Alternative System Designs, Simulation of Computer Systems.

TEXT BOOKS:

  • 1. Introduction to Operations Research, Frederick S Hiller and Gerald J Lieberman, 7th Edition, Tata McGraw Hill, 2001 (Chapters 17 and 18 for Unit-III).
  • 2. Discrete-Event System Simulation, Jerry Banks, John S Carson II, Barry L. Nelson rd and David M. Nicol, 3 edition, PHI/Pearson Education (Chapters 1, 3, 4, 7 and 8 for

UNIT - IV: ; Chapters 9,10,11,12 and 14 for Unit-V)

R16 B.TECH MECHATRONICS.

  • 3. Operations Research – An Introduction, 7th edition, Prentice-Hall of India, 1999 (Chapter 1 to 5 for Unit-I and Chapters 11 and 16 for Unit II, Section 6.7 for Unit-IV).

REFERENCE BOOKS:

  • 1. Operation Research – S. K. Jain and D. M. Mehta, Galgotia.
  • 2. Introductory Operations Research: Theory & Applications, Kasana, Springer.
  • 3. Applied Simulation Modelling – Seila, Ceric and Tadikamalla
  • 4. Simulation Modeling and Analysis – Averil M Law – TMH
  • 5. Operation Research – An Introduction 7 th Edition, Prentice Hall of India, 1999 (Chapter 1 to 5 for Unit – I and Chapters 11 and 16 for Unit II, Section 6,7 for Unit – IV) R16 B.TECH MECHATRONICS.

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