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Polling systems:

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Bibliographic Details
Main Author:	Borst, Sem C. (Author)
Format:	Book
Language:	English
Published:	Amsterdam CWI 1996
Series:	Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract 115
Subjects:	Optimaliseren Wachttijdproblemen Queuing theory Wartesystem
Online Access:	Inhaltsverzeichnis
Physical Description:	VI, 232 S. Illustrationen
ISBN:	9061964679

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MARC


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adam_text	Ill Contents Preface i 1 Introduction 1 1.1 Background and motivation 1 1.2 Applications of polling models 3 1.3 Model description 5 1.4 Analysis of polling systems 13 1.5 Optimization of polling systems 18 1.6 Overview of the monograph 22 2 Decomposition properties and pseudo conservation laws in polling models 27 2.1 Introduction 27 2.2 Queue length decomposition 29 2.3 Work decomposition 31 2.4 A queueing system with a customer collection mechanism ... 34 3 Polling systems with zero and non zero switch over times 43 3.1 Introduction 43 3.2 Model description 45 3.3 The joint queue length distribution at various epochs 45 3.4 The joint queue length distribution at polling epochs 48 3.5 Marginal queue lengths and waiting times 52 3.6 Computational aspects 55 4 A pseudo conservation law for a polling system with a dormant server 59 4.1 Introduction 59 4.2 Model description 61 4.3 A pseudo conservation law 62 4.4 A comparison between the dormant and the non dormant server case 69 iv 5 A globally gated polling system with a dormant server 75 5.1 Introduction 75 5.2 Model description 76 5.3 The cycle time 77 5.4 The waiting time 81 5.5 The queue length 86 5.A Proof of Lemma 5.3.1 89 5.B Proof of Lemma 5.4.1 91 6 Optimization of fc limited service strategies 95 6.1 Introduction 95 6.2 Model description and preliminaries 97 6.3 The constrained optimization problem 98 6.4 Numerical results for the constrained problem 103 6.5 The unconstrained optimization problem 107 6.6 Numerical results for the unconstrained problem 112 6.7 Concluding remarks and suggestions for further research . . . . 117 7 Optimization of fixed time polling schemes 119 7.1 Introduction 119 7.2 Model description 120 7.3 Constructing an efficient ftp scheme I 121 7.4 Constructing an efficient ftp scheme II 126 7.5 Numerical results 132 7.A Proof of Lemma 7.3.1 136 7.B The Golden Ratio procedure 138 7.C A procedure based on extremal splittings 138 7.D Proof of Lemma 7.4.1 140 8 Optimal allocation of customer types to servers 141 8.1 Introduction 141 8.2 Model description 143 8.3 Finding an optimal random splitting 145 8.4 The case of ordered customer types 149 8.5 Finding an optimal source partitioning 154 8.6 Concluding remarks and suggestions for further research .... 157 8. A Proof of Lemma 8.3.1 160 8.B Proof of Lemma 8.3.2 161 8.C Proof of Lemma 8.3.3 162 8.D Proof of Lemma 8.3.4 164 8.E A method for determining an optimal allocation 165 V 9 Polling systems with multiple coupled servers 169 9.1 Introduction 169 9.2 An M/M/m queue with coupled servers and service interruptions 171 9.3 Model description 177 9.4 The joint queue length distribution I 177 9.5 The joint queue length distribution II 182 9.6 Concluding remarks and suggestions for further research .... 188 9.A Proof of Lemma 9.2.1 190 9.B Proof of Lemma 9.5.1 192 10 Waiting time approximations for multiple server polling sysÂ¬ tems 195 10.1 Introduction 195 10.2 Model description 196 10.3 The server interarrival time 197 10.4 The waiting time 199 n 10.5 Approximating the weighted sum Yl PiEWj 202 i=l 10.6 Approximating the probabilities qi 205 10.7 Numerical results 209 10.8 Concluding remarks and suggestions for further research .... 217 Bibliography 219
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id	DE-604.BV011543651
illustrated	Illustrated
indexdate	2024-07-09T18:11:33Z
institution	BVB
isbn	9061964679
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-007771197
oclc_num	36056412
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owner	DE-91G DE-BY-TUM DE-384 DE-945 DE-188
owner_facet	DE-91G DE-BY-TUM DE-384 DE-945 DE-188
physical	VI, 232 S. Illustrationen
publishDate	1996
publishDateSearch	1996
publishDateSort	1996
publisher	CWI
record_format	marc
series	Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract
series2	Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract
spelling	Borst, Sem C. Verfasser aut Polling systems S. C. Borst Amsterdam CWI 1996 VI, 232 S. Illustrationen txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract 115 Optimaliseren gtt Wachttijdproblemen gtt Queuing theory Wartesystem (DE-588)4251734-5 gnd rswk-swf Wartesystem (DE-588)4251734-5 s DE-604 Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract 115 (DE-604)BV001902011 115 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007771197&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Borst, Sem C. Polling systems Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract Optimaliseren gtt Wachttijdproblemen gtt Queuing theory Wartesystem (DE-588)4251734-5 gnd
subject_GND	(DE-588)4251734-5
title	Polling systems
title_auth	Polling systems
title_exact_search	Polling systems
title_full	Polling systems S. C. Borst
title_fullStr	Polling systems S. C. Borst
title_full_unstemmed	Polling systems S. C. Borst
title_short	Polling systems
title_sort	polling systems
topic	Optimaliseren gtt Wachttijdproblemen gtt Queuing theory Wartesystem (DE-588)4251734-5 gnd
topic_facet	Optimaliseren Wachttijdproblemen Queuing theory Wartesystem
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007771197&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV001902011
work_keys_str_mv	AT borstsemc pollingsystems

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