JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

MT823PE: MATHEMATICAL MODELING AND SIMULATION

B.Tech IV Year II Semester (R18)

UNIT - I

Art of Modeling, Types of models, mathematical models - solution methods analytical, Numerical and Heuristic. L.P.P. - Formulation - Graphical 1 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 model Selective Inventory control - ABC, VED, FSN Analysis. Inventory systems - Fixed order quantity system, two bin system, periodic review systems, Optional Replenishment system and MRP

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, 7 Edition, Tata McGraw Hill, 2001 (Chapters 17 and 18 for Unit-llI).
  • 2. Discrete-Event System Simulation, Jerry Banks, John S Carson II, Barry L. Nelson 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).
  • 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 Il, 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 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)

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