Queueing System Management

Engineering

2024-01-19

Lessons List

Introduction to Queueing Theory Intro Video

Prerequisite Review of Probability

Lec 1 Queueing Systems System Performance Measures

Lec 2 Characteristics of Queueing Systems Kendall s Notation

Lec 3 Little s Law General Relationships

Lec 4 Laplace and Laplace Stieltjes Transforms Probability Generating Functions

Lec 5 An Overview of Stochastic Processes

Lec 6 Markov Chains Definition Transition Probabilities

Lec 7 Classification Properties of Markov Chains

Lec 8 Long Term Behaviour of Markov Chains

Lec 9 Exponential Distribution and its Properties Poisson Process

Lec 10 Poisson Process and its Properties Generalizations

Lec 11 Continuous Time Markov Chains Generator Matrix Kolmogorov Equations

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

Lec 14 M M 1 Queues Performance Measures PASTA Property Waiting Time Distributions

Lec 15 M M c Queues Erlang Delay Formula

Lec 16 M M c K Queues

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

Lec 19 Transient Solutions M M 1 1 Infinite Server and M M 1 Queues Busy Period Analysis

Lec 20 Queues with Bulk Arrivals

Lec 21 Queues with Bulk Service

Lec 22 Erlang and Phase Type Distributions

Lec 23 Erlangian Queues Erlangian Arrivals Erlangian Service Times

Lec 24 Nonpreemptive Priority Queues

Lec 25 Nonpreemptive and Preemptive Priority Queues

Lec 26 M M 1 Retrial Queues

Lec 27 Discrete Time Queues Geo Geo 1 EAS Geo Geo 1 LAS

Lec 28 Introduction to Queueing Networks Two Node Network

Lec 29 Burke s Theorem General Setup Tandem Networks

Lec 30 Queueing Networks with Blocking Open Jackson Networks

Lec 31 Waiting Times and Multiple Classes in Open Jackson Networks

Lec 32 Closed Jackson Networks

Lec 33 Closed Jackson Networks Convolution Algorithm

Lec 34 Mean Value Analysis Algorithm

Lec 35 Cyclic Queueing Networks Extensions of Jackson Networks

Lec 36 Renewal Processes

Lec 37 Regenerative Processes Semi Markov Processes

Lec 38 M G 1 Queues The Pollaczek Khinchin Mean Formula

Lec 39 M G 1 Queues The Pollaczek Khinchin Transform Formula

Lec 40 M G 1 Queues Waiting Times and Busy Period

Lec 41 M G 1 K Queues Additional Insights on M G 1 Queues

Lec 42 M G c M G ∞ and M G c c Queues

Lec 43 G M 1 Queues

Lec 44 G G 1 Queues Lindley s Integral Equation

Lec 45 G G 1 Queues Bounds

Lec 46 Vacation Queues Introduction M M 1 Queues with Vacations

Lec 47 M G 1 Queues with Vacations

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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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Queueing System Management

Engineering

Introduction to Queueing Theory Intro Video

Prerequisite Review of Probability

Lec 1 Queueing Systems System Performance Measures

Lec 2 Characteristics of Queueing Systems Kendall s Notation

Lec 3 Little s Law General Relationships

Lec 4 Laplace and Laplace Stieltjes Transforms Probability Generating Functions

Lec 5 An Overview of Stochastic Processes

Lec 6 Markov Chains Definition Transition Probabilities

Lec 7 Classification Properties of Markov Chains

Lec 8 Long Term Behaviour of Markov Chains

Lec 9 Exponential Distribution and its Properties Poisson Process

Lec 10 Poisson Process and its Properties Generalizations

Lec 11 Continuous Time Markov Chains Generator Matrix Kolmogorov Equations

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

Lec 14 M M 1 Queues Performance Measures PASTA Property Waiting Time Distributions

Lec 15 M M c Queues Erlang Delay Formula

Lec 16 M M c K Queues

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

Lec 19 Transient Solutions M M 1 1 Infinite Server and M M 1 Queues Busy Period Analysis

Lec 20 Queues with Bulk Arrivals

Lec 21 Queues with Bulk Service

Lec 22 Erlang and Phase Type Distributions

Lec 23 Erlangian Queues Erlangian Arrivals Erlangian Service Times

Lec 24 Nonpreemptive Priority Queues

Lec 25 Nonpreemptive and Preemptive Priority Queues

Lec 26 M M 1 Retrial Queues

Lec 27 Discrete Time Queues Geo Geo 1 EAS Geo Geo 1 LAS

Lec 28 Introduction to Queueing Networks Two Node Network

Lec 29 Burke s Theorem General Setup Tandem Networks

Lec 30 Queueing Networks with Blocking Open Jackson Networks

Lec 31 Waiting Times and Multiple Classes in Open Jackson Networks

Lec 32 Closed Jackson Networks

Lec 33 Closed Jackson Networks Convolution Algorithm

Lec 34 Mean Value Analysis Algorithm

Lec 35 Cyclic Queueing Networks Extensions of Jackson Networks

Lec 36 Renewal Processes

Lec 37 Regenerative Processes Semi Markov Processes

Lec 38 M G 1 Queues The Pollaczek Khinchin Mean Formula

Lec 39 M G 1 Queues The Pollaczek Khinchin Transform Formula

Lec 40 M G 1 Queues Waiting Times and Busy Period

Lec 41 M G 1 K Queues Additional Insights on M G 1 Queues

Lec 42 M G c M G ∞ and M G c c Queues

Lec 43 G M 1 Queues

Lec 44 G G 1 Queues Lindley s Integral Equation

Lec 45 G G 1 Queues Bounds

Lec 46 Vacation Queues Introduction M M 1 Queues with Vacations

Lec 47 M G 1 Queues with Vacations

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