Modules / Lectures


Sl.No Chapter Name MP4 Download
1Prerequisite: Review of ProbabilityDownload
2Lec 1: Queueing Systems, System Performance MeasuresDownload
3Lec 2: Characteristics of Queueing Systems, Kendall's NotationDownload
4Lec 3: Little's Law, General RelationshipsDownload
5Lec 4: Laplace and Laplace-Stieltjes Transforms, Probability Generating FunctionsDownload
6Lec 5: An Overview of Stochastic ProcessesDownload
7Lec 6: Markov Chains: Definition, Transition ProbabilitiesDownload
8Lec 7: Classification Properties of Markov ChainsDownload
9Lec 8: Long-Term Behaviour of Markov ChainsDownload
10Lec 9: Exponential Distribution and its Properties, Poisson ProcessDownload
11Lec 10: Poisson Process and its Properties, GeneralizationsDownload
12Lec 11: Continuous-Time Markov Chains, Generator Matrix, Kolmogorov EquationsDownload
13Lec 12: Stationary and Limiting Distributions of CTMC, Balance Equations, Birth-Death ProcessesDownload
14Lec 13: Birth-Death Queues: General Theory, M/M/1 Queues and their Steady State SolutionDownload
15Lec 14: M/M/1 Queues: Performance Measures, PASTA Property, Waiting Time DistributionsDownload
16Lec 15: M/M/c Queues, Erlang Delay FormulaDownload
17Lec 16: M/M/c/K QueuesDownload
18Lec 17: Erlang's Loss System, Erlang Loss Formula, Infinite-Server QueuesDownload
19Lec 18: Finite-Source Queues, Engset Loss System, State-Dependent Queues, Queues with ImpatienceDownload
20Lec 19: Transient Solutions: M/M/1/1, Infinite-Server and M/M/1 Queues, Busy Period AnalysisDownload
21Lec 20: Queues with Bulk ArrivalsDownload
22Lec 21: Queues with Bulk ServiceDownload
23Lec 22: Erlang and Phase-Type DistributionsDownload
24Lec 23: Erlangian Queues: Erlangian Arrivals, Erlangian Service TimesDownload
25Lec 24: Nonpreemptive Priority QueuesDownload
26Lec 25: Nonpreemptive and Preemptive Priority QueuesDownload
27Lec 26: M/M/1 Retrial QueuesDownload
28Lec 27: Discrete-Time Queues: Geo/Geo/1 (EAS), Geo/Geo/1 (LAS)Download
29Lec 28: Introduction to Queueing Networks, Two-Node NetworkDownload
30Lec 29: Burke's Theorem, General Setup, Tandem NetworksDownload
31Lec 30: Queueing Networks with Blocking, Open Jackson NetworksDownload
32Lec 31: Waiting Times and Multiple Classes in Open Jackson NetworksDownload
33Lec 32: Closed Jackson NetworksDownload
34Lec 33: Closed Jackson Networks, Convolution AlgorithmDownload
35Lec 34: Mean-Value Analysis AlgorithmDownload
36Lec 35: Cyclic Queueing Networks, Extensions of Jackson NetworksDownload
37Lec 36: Renewal ProcessesDownload
38Lec 37: Regenerative Processes, Semi-Markov ProcessesDownload
39Lec 38: M/G/1 Queues, The Pollaczek-Khinchin Mean FormulaDownload
40Lec 39: M/G/1 Queues, The Pollaczek-Khinchin Transform FormulaDownload
41Lec 40: M/G/1 Queues: Waiting Times and Busy PeriodDownload
42Lec 41: M/G/1/K Queues, Additional Insights on M/G/1 QueuesDownload
43Lec 42: M/G/c, M/G/∞ and M/G/c/c QueuesDownload
44Lec 43: G/M/1 QueuesDownload
45Lec 44: G/G/1 Queues: Lindley's Integral EquationDownload
46Lec 45: G/G/1 Queues: BoundsDownload
47Lec 46: Vacation Queues: Introduction, M/M/1 Queues with VacationsDownload
48Lec 47: M/G/1 Queues with VacationsDownload

Sl.No Chapter Name English
1Prerequisite: Review of ProbabilityPDF unavailable
2Lec 1: Queueing Systems, System Performance MeasuresPDF unavailable
3Lec 2: Characteristics of Queueing Systems, Kendall's NotationPDF unavailable
4Lec 3: Little's Law, General RelationshipsPDF unavailable
5Lec 4: Laplace and Laplace-Stieltjes Transforms, Probability Generating FunctionsPDF unavailable
6Lec 5: An Overview of Stochastic ProcessesPDF unavailable
7Lec 6: Markov Chains: Definition, Transition ProbabilitiesPDF unavailable
8Lec 7: Classification Properties of Markov ChainsPDF unavailable
9Lec 8: Long-Term Behaviour of Markov ChainsPDF unavailable
10Lec 9: Exponential Distribution and its Properties, Poisson ProcessPDF unavailable
11Lec 10: Poisson Process and its Properties, GeneralizationsPDF unavailable
12Lec 11: Continuous-Time Markov Chains, Generator Matrix, Kolmogorov EquationsPDF unavailable
13Lec 12: Stationary and Limiting Distributions of CTMC, Balance Equations, Birth-Death ProcessesPDF unavailable
14Lec 13: Birth-Death Queues: General Theory, M/M/1 Queues and their Steady State SolutionPDF unavailable
15Lec 14: M/M/1 Queues: Performance Measures, PASTA Property, Waiting Time DistributionsPDF unavailable
16Lec 15: M/M/c Queues, Erlang Delay FormulaPDF unavailable
17Lec 16: M/M/c/K QueuesPDF unavailable
18Lec 17: Erlang's Loss System, Erlang Loss Formula, Infinite-Server QueuesPDF unavailable
19Lec 18: Finite-Source Queues, Engset Loss System, State-Dependent Queues, Queues with ImpatiencePDF unavailable
20Lec 19: Transient Solutions: M/M/1/1, Infinite-Server and M/M/1 Queues, Busy Period AnalysisPDF unavailable
21Lec 20: Queues with Bulk ArrivalsPDF unavailable
22Lec 21: Queues with Bulk ServicePDF unavailable
23Lec 22: Erlang and Phase-Type DistributionsPDF unavailable
24Lec 23: Erlangian Queues: Erlangian Arrivals, Erlangian Service TimesPDF unavailable
25Lec 24: Nonpreemptive Priority QueuesPDF unavailable
26Lec 25: Nonpreemptive and Preemptive Priority QueuesPDF unavailable
27Lec 26: M/M/1 Retrial QueuesPDF unavailable
28Lec 27: Discrete-Time Queues: Geo/Geo/1 (EAS), Geo/Geo/1 (LAS)PDF unavailable
29Lec 28: Introduction to Queueing Networks, Two-Node NetworkPDF unavailable
30Lec 29: Burke's Theorem, General Setup, Tandem NetworksPDF unavailable
31Lec 30: Queueing Networks with Blocking, Open Jackson NetworksPDF unavailable
32Lec 31: Waiting Times and Multiple Classes in Open Jackson NetworksPDF unavailable
33Lec 32: Closed Jackson NetworksPDF unavailable
34Lec 33: Closed Jackson Networks, Convolution AlgorithmPDF unavailable
35Lec 34: Mean-Value Analysis AlgorithmPDF unavailable
36Lec 35: Cyclic Queueing Networks, Extensions of Jackson NetworksPDF unavailable
37Lec 36: Renewal ProcessesPDF unavailable
38Lec 37: Regenerative Processes, Semi-Markov ProcessesPDF unavailable
39Lec 38: M/G/1 Queues, The Pollaczek-Khinchin Mean FormulaPDF unavailable
40Lec 39: M/G/1 Queues, The Pollaczek-Khinchin Transform FormulaPDF unavailable
41Lec 40: M/G/1 Queues: Waiting Times and Busy PeriodPDF unavailable
42Lec 41: M/G/1/K Queues, Additional Insights on M/G/1 QueuesPDF unavailable
43Lec 42: M/G/c, M/G/∞ and M/G/c/c QueuesPDF unavailable
44Lec 43: G/M/1 QueuesPDF unavailable
45Lec 44: G/G/1 Queues: Lindley's Integral EquationPDF unavailable
46Lec 45: G/G/1 Queues: BoundsPDF unavailable
47Lec 46: Vacation Queues: Introduction, M/M/1 Queues with VacationsPDF unavailable
48Lec 47: M/G/1 Queues with VacationsPDF unavailable


Sl.No Language Book link
1EnglishNot Available
2BengaliNot Available
3GujaratiNot Available
4HindiNot Available
5KannadaNot Available
6MalayalamNot Available
7MarathiNot Available
8TamilNot Available
9TeluguNot Available