Stochastic networks / Frank Kelly and Elena Yudovina.
Material type:
TextSeries: Publication details: Cambridge : CUP, 2014.Description: x, 222 p. : illustrations ; 24 cmISBN: - 9781107691704 (pbk.)
- 23 K29 000SB:384
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 000SB:384 K29 (Browse shelf(Opens below)) | Available | 135514 |
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| 000SB:382 Un58 Yearbook of international trade statistics | 000SB:384.6 J54 Moe's principle | 000SB:384.6 J54 Moe's principle | 000SB:384 K29 Stochastic networks / | 000SB:385 B144 Railway statistics operations | 000SB:385 K16 Structure of transporatation networks | 000SB:385 PRB/1.330.1 Statistical aids to railway operation |
Includes bibliographical references (pages 217-220) and index.
Part I
1.Markov chains --
1.1.Definitions and notation --
1.2.Time reversal --
1.3.Erlang's formula --
1.4.Further reading --
2.Queueing networks --
2.1.An M/M/1 queue --
2.2.A series of M/M//1 queues --
2.3.Closed migration processes --
2.4.Open migration processes --
2.5.Little's law --
2.6.Linear migration processes --
2.7.Generalizations --
2.8.Further reading --
3.Loss networks --
3.1.Network model --
3.2.Approximation procedure --
3.3.Truncating reversible processes --
3.4.Maximum probability --
3.5.A central limit theorem --
3.6.Erlang fixed point --
3.7.Diverse routing --
3.8.Further reading --
Part II --
4.Decentralized optimization --
4.1.An electrical network --
4.2.Road traffic models --
4.3.Optimization of queueing and loss networks --
4.4.Further reading --
5.Random access networks --
5.1.The ALOHA protocol --
5.2.Estimating backlog --
5.3.Acknowledgement-based schemes --
5.4.Distributed random access --
5.5.Further reading --
6.Effective bandwidth --
6.1.Chernoff bound and Cramer's theorem --
6.2.Effective bandwidth --
6.3.Large deviations for a queue with many sources --
6.4.Further reading --
Part III --
7.Internet congestion control --
7.1.Control of elastic network flows --
7.2.Notions of fairness --
7.3.A primal algorithm --
7.4.Modelling TCP --
7.5.What is being optimized? --
7.6.A dual algorithm --
7.7.Time delays --
7.8.Modelling a switch --
7.9.Further reading --
8.Flow level Internet models --
8.1.Evolution of flows --
8.2.[alpha]-fair rate allocations --
8.3.Stability of [alpha]-fair rate allocations --
8.4.What can go wrong? --
8.5.Linear network with proportional fairness --
8.6.Further reading--
Appendix A--
Appendix B--
Appendix C--
Appendix D--
References--
Index.
A compact, highly-motivated introduction to some of the stochastic models found useful in the study of communications networks.
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