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Lec 10 Poisson Process and its Properties Generalizations

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Lessons List | 49 Lesson
Introduction to Queueing Theory Intro Video
00:11:52

Introduction to Queueing Theory Intro Video
Prerequisite Review of Probability
00:37:05

Prerequisite Review of Probability
Lec 1 Queueing Systems System Performance Measures
00:43:57

Lec 1 Queueing Systems System Performance Measures
Lec 2 Characteristics of Queueing Systems Kendall s Notation
00:52:01

Lec 2 Characteristics of Queueing Systems Kendall s Notation
Lec 3 Little s Law General Relationships
00:49:34

Lec 3 Little s Law General Relationships
Lec 4 Laplace and Laplace Stieltjes Transforms Probability Generating Functions
00:40:04

Lec 4 Laplace and Laplace Stieltjes Transforms Probability Generating Functions
Lec 5 An Overview of Stochastic Processes
00:42:02

Lec 5 An Overview of Stochastic Processes
Lec 6 Markov Chains Definition Transition Probabilities
00:52:21

Lec 6 Markov Chains Definition Transition Probabilities
Lec 7 Classification Properties of Markov Chains
00:37:44

Lec 7 Classification Properties of Markov Chains
Lec 8 Long Term Behaviour of Markov Chains
00:54:03

Lec 8 Long Term Behaviour of Markov Chains
Lec 9 Exponential Distribution and its Properties Poisson Process
00:43:42

Lec 9 Exponential Distribution and its Properties Poisson Process
Lec 10 Poisson Process and its Properties Generalizations
00:48:50

Lec 10 Poisson Process and its Properties Generalizations
Lec 11 Continuous Time Markov Chains Generator Matrix Kolmogorov Equations
00:41:26

Lec 11 Continuous Time Markov Chains Generator Matrix Kolmogorov Equations
Lec 12 Stationary and Limiting Distributions of CTMC Balance Equations Birth Death Processes
00:40:30

Lec 12 Stationary and Limiting Distributions of CTMC Balance Equations Birth Death Processes
Lec 13 Birth Death Queues General Theory M M 1 Queues and their Steady State Solution
00:54:59

Lec 13 Birth Death Queues General Theory M M 1 Queues and their Steady State Solution
Lec 14 M M 1 Queues Performance Measures PASTA Property Waiting Time Distributions
00:49:02

Lec 14 M M 1 Queues Performance Measures PASTA Property Waiting Time Distributions
Lec 15 M M c Queues Erlang Delay Formula
00:44:45

Lec 15 M M c Queues Erlang Delay Formula
Lec 16 M M c K Queues
00:41:38

Lec 16 M M c K Queues
Lec 17 Erlang s Loss System Erlang Loss Formula Infinite Server Queues
00:35:59

Lec 17 Erlang s Loss System Erlang Loss Formula Infinite Server Queues
Lec 18 Finite Source Queues Engset Loss System State Dependent Queues Queues with Impatience
00:58:37

Lec 18 Finite Source Queues Engset Loss System State Dependent Queues Queues with Impatience
Lec 19 Transient Solutions M M 1 1 Infinite Server and M M 1 Queues Busy Period Analysis
00:53:27

Lec 19 Transient Solutions M M 1 1 Infinite Server and M M 1 Queues Busy Period Analysis
Lec 20 Queues with Bulk Arrivals
00:54:34

Lec 20 Queues with Bulk Arrivals
Lec 21 Queues with Bulk Service
00:43:03

Lec 21 Queues with Bulk Service
Lec 22 Erlang and Phase Type Distributions
00:49:49

Lec 22 Erlang and Phase Type Distributions
Lec 23 Erlangian Queues Erlangian Arrivals Erlangian Service Times
00:45:35

Lec 23 Erlangian Queues Erlangian Arrivals Erlangian Service Times
Lec 24 Nonpreemptive Priority Queues
00:56:29

Lec 24 Nonpreemptive Priority Queues
Lec 25 Nonpreemptive and Preemptive Priority Queues
00:38:24

Lec 25 Nonpreemptive and Preemptive Priority Queues
Lec 26 M M 1 Retrial Queues
00:40:27

Lec 26 M M 1 Retrial Queues
Lec 27 Discrete Time Queues Geo Geo 1 EAS Geo Geo 1 LAS
00:42:57

Lec 27 Discrete Time Queues Geo Geo 1 EAS Geo Geo 1 LAS
Lec 28 Introduction to Queueing Networks Two Node Network
00:47:12

Lec 28 Introduction to Queueing Networks Two Node Network
Lec 29 Burke s Theorem General Setup Tandem Networks
00:47:51

Lec 29 Burke s Theorem General Setup Tandem Networks
Lec 30 Queueing Networks with Blocking Open Jackson Networks
00:43:46

Lec 30 Queueing Networks with Blocking Open Jackson Networks
Lec 31 Waiting Times and Multiple Classes in Open Jackson Networks
00:31:34

Lec 31 Waiting Times and Multiple Classes in Open Jackson Networks
Lec 32 Closed Jackson Networks
00:35:34

Lec 32 Closed Jackson Networks
Lec 33 Closed Jackson Networks Convolution Algorithm
00:40:35

Lec 33 Closed Jackson Networks Convolution Algorithm
Lec 34 Mean Value Analysis Algorithm
00:39:48

Lec 34 Mean Value Analysis Algorithm
Lec 35 Cyclic Queueing Networks Extensions of Jackson Networks
00:29:26

Lec 35 Cyclic Queueing Networks Extensions of Jackson Networks
Lec 36 Renewal Processes
00:44:05

Lec 36 Renewal Processes
Lec 37 Regenerative Processes Semi Markov Processes
00:33:28

Lec 37 Regenerative Processes Semi Markov Processes
Lec 38 M G 1 Queues The Pollaczek Khinchin Mean Formula
00:38:01

Lec 38 M G 1 Queues The Pollaczek Khinchin Mean Formula
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Course Description

Queueing System course, In this course, explore the principles and applications of Queueing Systems, analyzing waiting processes and optimizing service performance.
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