Introduction to Queueing Theory JFRPM7SSH6
| URI | m2://res/JFRPM7SSH6 |
|---|---|
| Kind | course |
| Creators | N. Selvaraju (instructor) |
| Date | 2022-01-11 |
| Scope | in |
| Ids | course 0022nd079:111103159 |
Expressions
e1: edition
| Language | en |
|---|---|
| Date | 2022-01-11 |
- m1: page, IIT Guwahati (record). nptel 111103159
- m2: page, 2022-01-11 (record). nptel 111103159
Contents
- part 1: week-00
- session 1: Prerequisite: Review of Probability
- part 2: Week-01: Introduction to Queues
- session 2: Lec 1: Queueing Systems, System Performance Measures
- session 3: Lec 2: Characteristics of Queueing Systems, Kendall's Notation
- session 4: Lec 3: Little's Law, General Relationships
- session 5: Lec 4: Laplace and Laplace-Stieltjes Transforms, Probability Generating Functions
- part 3: Week-02: Discrete-Time Markov Chains
- session 6: Lec 5: An Overview of Stochastic Processes
- session 7: Lec 6: Markov Chains: Definition, Transition Probabilities
- session 8: Lec 7: Classification Properties of Markov Chains
- session 9: Lec 8: Long-Term Behaviour of Markov Chains
- part 4: Week-03: Continuous-Time Markov Chains
- session 10: Lec 9: Exponential Distribution and its Properties, Poisson Process
- session 11: Lec 10: Poisson Process and its Properties, Generalizations
- session 12: Lec 11: Continuous-Time Markov Chains, Generator Matrix, Kolmogorov Equations
- session 13: Lec 12: Stationary and Limiting Distributions of CTMC, Balance Equations, Birth-Death Processes
- part 5: Week-04: Birth-Death Queueing Systems
- session 14: Lec 13: Birth-Death Queues: General Theory, M/M/1 Queues and their Steady State Solution
- session 15: Lec 14: M/M/1 Queues: Performance Measures, PASTA Property, Waiting Time Distributions
- session 16: Lec 15: M/M/c Queues, Erlang Delay Formula
- session 17: Lec 16: M/M/c/K Queues
- part 6: Week-05: Birth-Death Queueing Systems (contd...)
- session 18: Lec 17: Erlang's Loss System, Erlang Loss Formula, Infinite-Server Queues
- session 19: Lec 18: Finite-Source Queues, Engset Loss System, State-Dependent Queues, Queues with Impatience
- session 20: Lec 19: Transient Solutions: M/M/1/1, Infinite-Server and M/M/1 Queues, Busy Period Analysis
- part 7: Week-06: General Markovian Queueing Systems
- session 21: Lec 20: Queues with Bulk Arrivals
- session 22: Lec 21: Queues with Bulk Service
- session 23: Lec 22: Erlang and Phase-Type Distributions
- session 24: Lec 23: Erlangian Queues: Erlangian Arrivals, Erlangian Service Times
- part 8: Week-07: General Markovian Queueing Systems (contd...)
- session 25: Lec 24: Nonpreemptive Priority Queues
- session 26: Lec 25: Nonpreemptive and Preemptive Priority Queues
- session 27: Lec 26: M/M/1 Retrial Queues
- session 28: Lec 27: Discrete-Time Queues: Geo/Geo/1 (EAS), Geo/Geo/1 (LAS)
- part 9: Week-08: Queueing Networks
- session 29: Lec 28: Introduction to Queueing Networks, Two-Node Network
- session 30: Lec 29: Burke's Theorem, General Setup, Tandem Networks
- session 31: Lec 30: Queueing Networks with Blocking, Open Jackson Networks
- session 32: Lec 31: Waiting Times and Multiple Classes in Open Jackson Networks
- part 10: Week-09: Queueing Networks (contd...)
- session 33: Lec 32: Closed Jackson Networks
- session 34: Lec 33: Closed Jackson Networks, Convolution Algorithm
- session 35: Lec 34: Mean-Value Analysis Algorithm
- session 36: Lec 35: Cyclic Queueing Networks, Extensions of Jackson Networks
- part 11: Week-10: Semi-Markovian Queueing Systems
- session 37: Lec 36: Renewal Processes
- session 38: Lec 37: Regenerative Processes, Semi-Markov Processes
- session 39: Lec 38: M/G/1 Queues, The Pollaczek-Khinchin Mean Formula
- session 40: Lec 39: M/G/1 Queues, The Pollaczek-Khinchin Transform Formula
- part 12: Week-11: Semi-Markovian Queueing Systems (contd...)
- session 41: Lec 40: M/G/1 Queues: Waiting Times and Busy Period
- session 42: Lec 41: M/G/1/K Queues, Additional Insights on M/G/1 Queues
- session 43: Lec 42: M/G/c, M/G/∞ and M/G/c/c Queues
- session 44: Lec 43: G/M/1 Queues
- part 13: Week-12: General Queueing Systems
- session 45: Lec 44: G/G/1 Queues: Lindley's Integral Equation
- session 46: Lec 45: G/G/1 Queues: Bounds
- session 47: Lec 46: Vacation Queues: Introduction, M/M/1 Queues with Vacations
- session 48: Lec 47: M/G/1 Queues with Vacations
- part 14: Live Session
- session 49: Live Session 21-02-2022
- session 50: Live Session 17-03-2022
Catalogue records
- nptel: 111103159 (manifestation)
- nptel_video: 111103159 (manifestation)