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Bibliographische Detailangaben
Hauptverfasser:	Ganesh, Ayalvadi (VerfasserIn), O'Connell, Neil (VerfasserIn), Wischik, Damon (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin [u.a.] Springer 2004
Schriftenreihe:	Lecture notes in mathematics 1838
Schlagworte:	Warteschlangentheorie - Große Abweichung Large deviations Queuing theory Große Abweichung Warteschlangentheorie
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	XI, 254 S. graph. Darst.
ISBN:	3540209123 9783540209126

Internformat

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Datensatz im Suchindex

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adam_text	Contents 1 The Single Server Queue 1 1.1 The Single Server Queueing Model 3 1.2 One Dimensional Large Deviations 6 1.3 Application to Queues with Large Buffers 9 1.4 Application to Queues with Many Sources 15 2 Large Deviations in Euclidean Spaces 23 2.1 Some Examples 23 2.2 Principle of the Largest Term 25 2.3 Large Deviations Principle 26 2.4 Cumulant Generating Functions 27 2.5 Convex Duality 29 2.6 Cramer s Theorem 32 2.7 Sanov s Theorem for Finite Alphabets 38 2.8 A Generalisation of Cramer s Theorem 41 3 More on the Single Server Queue 47 3.1 Queues with Correlated Inputs 47 3.2 Queues with Many Sources and Power Law Scalings 52 3.3 Queues with Large Buffers and Power Law Scalings 55 4 Introduction to Abstract Large Deviations 57 4.1 Topology and Metric Spaces 57 4.2 Definition of LDP 59 4.3 The Contraction Principle 63 4.4 Other Useful LDP Results 67 5 Continuous Queueing Maps 77 5.1 Introduction 77 X Contents 5.2 An Example: Queues with Large Buffers 78 5.3 The Continuous Mapping Approach 80 5.4 Continuous Functions 81 5.5 Some Convenient Notation 83 5.6 Queues with Infinite Buffers 84 5.7 Queues with Finite Buffers 88 5.8 Queueing Delay 92 5.9 Priority Queues 94 5.10 Processor Sharing 95 5.11 Departures from a Queue 98 5.12 Conclusion 103 6 Large Buffer Scalings 105 6.1 The Space of Input Processes 105 6.2 Large Deviations for Partial Sums Processes 107 6.3 Linear Geodesies 117 6.4 Queues with Infinite Buffers 120 6.5 Queues with Finite Buffers 125 6.6 Queueing Delay 126 6.7 Departure Process 128 6.8 Mean Rate of Departures 130 6.9 Quasi Reversibility 137 6.10 Scaling Properties of Networks 144 6.11 Statistical Inference for the Tail Behaviour of Queues 146 7 Many Flows Scalings 151 7.1 Traffic Scaling 151 7.2 Topology for Sample Paths 152 7.3 The Sample Path LDP 155 7.4 Example Sample Path LDPs 162 7.5 Applying the Contraction Principle 165 7.6 Queues with Infinite Buffers 166 7.7 Queues with Finite Buffers 170 7.8 Overflow and Underflow 171 7.9 Paths to Overflow 173 7.10 Priority Queues 176 7.11 Departures from a Queue 177 Contents XI 8 Long Range Dependence 183 8.1 What Is Long Range Dependence? 183 8.2 Implications for Queues 185 8.3 Sample Path LDP for Fractional Brownian Motion 187 8.4 Scaling Properties 190 8.5 How Does Long Range Dependence Arise? 195 8.6 Philosophical Difficulties with LRD Modelling 197 9 Moderate Deviations Scalings 199 9.1 Motivation 199 9.2 Traffic Processes 202 9.3 Queue Scalings 203 9.4 Shared Buffers 205 9.5 Mixed Limits 208 10 Interpretations 211 10.1 Effective Bandwidths 211 10.2 Numerical Estimates 218 10.3 A Global Approximation 226 10.4 Scaling Laws 230 10.5 Types of Traffic 232 Bibliography 239 Index of Notation 249 Index 251
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author	Ganesh, Ayalvadi O'Connell, Neil Wischik, Damon
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spelling	Ganesh, Ayalvadi Verfasser aut Big queues Ayalvadi Ganesh ; Neil O'Connell ; Damon Wischik Berlin [u.a.] Springer 2004 XI, 254 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1838 Warteschlangentheorie - Große Abweichung Large deviations Queuing theory Große Abweichung (DE-588)4330658-5 gnd rswk-swf Warteschlangentheorie (DE-588)4255044-0 gnd rswk-swf Warteschlangentheorie (DE-588)4255044-0 s Große Abweichung (DE-588)4330658-5 s DE-604 O'Connell, Neil Verfasser aut Wischik, Damon Verfasser aut Lecture notes in mathematics 1838 (DE-604)BV000676446 1838 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010729451&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Ganesh, Ayalvadi O'Connell, Neil Wischik, Damon Big queues Lecture notes in mathematics Warteschlangentheorie - Große Abweichung Large deviations Queuing theory Große Abweichung (DE-588)4330658-5 gnd Warteschlangentheorie (DE-588)4255044-0 gnd
subject_GND	(DE-588)4330658-5 (DE-588)4255044-0
title	Big queues
title_auth	Big queues
title_exact_search	Big queues
title_full	Big queues Ayalvadi Ganesh ; Neil O'Connell ; Damon Wischik
title_fullStr	Big queues Ayalvadi Ganesh ; Neil O'Connell ; Damon Wischik
title_full_unstemmed	Big queues Ayalvadi Ganesh ; Neil O'Connell ; Damon Wischik
title_short	Big queues
title_sort	big queues
topic	Warteschlangentheorie - Große Abweichung Large deviations Queuing theory Große Abweichung (DE-588)4330658-5 gnd Warteschlangentheorie (DE-588)4255044-0 gnd
topic_facet	Warteschlangentheorie - Große Abweichung Large deviations Queuing theory Große Abweichung Warteschlangentheorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010729451&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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