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Stochastic networks /

by Kelly, Frank,
Additional authors: Yudovina, Elena, -- author.
Series: Institute of Mathematical Statistics textbooks ; . 2 Published by : Cambridge University Press (Cambridge) Physical details: x, 222 pages : illustrations ; 24 cm. ISBN:9781107691704 (pbk.). Year: 2014
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Item type Current location Collection Call number Status Date due Barcode
Books Books School of Theoretical Physics
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Books 519.2 KEL (Browse shelf) Available 11806

Includes bibliographical references (pages 217-220) and index.

Machine generated contents note: Queueing and loss networks -- Decentralized optimization -- Random access networks -- Broadband networks -- Internet modelling -- 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 --

Contents note continued: 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.

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