Markov Chain and Queuing System

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MARKOV CHAIN AND 3720517
FREE PDF 3720517
Code: 3720517 Credits: 4 Semester 2 EACE

Markov Chain and Queuing System

Get the full GTU study material, English & Gujarati textbook PDFs, syllabus curriculum, and solved previous year question papers.

Markov Chain and Queuing System Syllabus — Unit-wise Content

The official GTU curriculum for Markov Chain and Queuing System (subject code 3720517) as prescribed for EACE · Semester 2 divides the course into 6 units, covering 28 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.

Download the official syllabus PDF (3720517)

Unit 1 Unit 1

6 lecture hours

  • Introduction: Review of basic probability
  • properties of nonnegative random variables
  • laws of large numbers and the Central Limit Theorem

Unit 2 Unit 2

6 lecture hours

  • Renewal Processes: Basic definitions
  • recurrence times
  • rewards and renewal reward theorem
  • point processes
  • Poisson process
  • Walds equation
  • Blackwell's theorem

Unit 3 Unit 3

8 lecture hours

  • Discrete time Markov chains: definitions and properties
  • matrix representation
  • Perron- Frobenius theory

Unit 4 Unit 4

6 lecture hours

  • Continuous time Markov chains: basic definitions
  • birth-death processes
  • quasi birth death Processes
  • Embedded Markov processes
  • semi Markov processes
  • reversible Markov chains
  • Random walks

Unit 5 Unit 5

8 lecture hours

  • Fundamental queuing results: Little's theorem
  • invariance of the mean delay
  • Conservation law
  • Markovian queues: Jackson and BCMP networks
  • numerical Algorithms
  • M/G/1 & G/M/1 queues and G/G/1 queues

Unit 6 Unit 6

8 lecture hours

  • Advanced queuing models: priority
  • vacation and retrials in queues Subject Code: 3720517 w.e.f

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