Ch 5 Random Process
UTG
Table of contents
CPE 332Computer Engineering Mathematics II
Today Topics
Discrete-Time Random Process
จำกัด Sequence ความยาว N
Sequence ทั่วไป
การคำนวณ Correlation
การคำนวณ Correlation
Random Process กรณีพิเศษ
Counting Process
Poisson Process
Poisson Process
Poisson Process
Birth and Death Process
State Diagram
MarKov Process and Markov Chain
Markov Process and Markov Chain
MarKov Chain
Discrete Time Markov Chain
Discrete Time Markov Chain
Discrete Time Markov Chain
Notations: สำหรับ Discrete Time MarKov Chain
Discrete Time Markov Chain
Discrete Time Markov Chain
Discrete Time Markov Chain
Discrete Time Markov Chain
Discrete Time Markov Chain
สรุป MarKov Chain
Detailed Balance Equation: Simple MarKov Chain
Markov Chain(Detailed Bal Eq)
Slide Number 30
Example
Example
Example
Example
Example
Example
Example
Example
Example
Example
Example
Example
Example
Example
Example: Simple MarKov
Example: Simple MarKov
Example: Simple MarKov
Example: Simple MarKov
Example: Simple MarKov
End of Chapter 5
CPE 332Computer Engineering Mathematics II
Topics
System
Queuing System
Queuing System
Queuing System
Queuing SystemSimple MarKov Model
Queuing SystemSimple MarKov Model
Queuing SystemSimple MarKov Model
Queuing SystemSimple MarKov Model
Queuing System Case 1: Unlimited Server; No Queue
Queuing System Case 1: Unlimited Server; No Queue
Queuing System Case 2: Lost SystemLimited Server=N; No Queue
Queuing System Case 3: Delay SystemLimited Server=N; With Unlimited Queue
Queuing System Case 3: Delay SystemServer=1; With Unlimited Queue; M/M/1
Queuing System: Model
M/M/1: Summary
Queuing Model(1 Server); M/M/1
การทำงานของ M/M/1
เปรียบเทียบ Queuing Model (N Server); M/M/N
M/M/N
Network Model using M/M/1
Network Model (M/M/1)
Network Model (M/M/1)
Network Model (M/M/1)
Kendal Notation
Kendal Notation
Kendal Notation
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