Queueing modelling fundamentals: with applications in communication networks
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester [u.a.]
Wiley
2008
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Publisher description Inhaltsverzeichnis |
| Physical Description: | XIX, 271 S. Ill., graph. Dast. |
| ISBN: | 9780470519578 |
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Record in the Search Index
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|---|---|
| adam_text | QUEUEING MODELLING FUNDAMENTALS WITH APPLICATIONS IN COMMUNICATION
NETWORKS SECOND EDITION NG CHEE-HOCK AND SOONG BOON-HEE BOTH OF NANYANG
TECHNOLOGICAL UNIVERSITY, SINGAPORE JOHN WILEY SI SONS, LTD CONTENTS
LIST OF TABLES XI LIST OF ILLUSTRATIONS XIII PREFACE XVII 1.
PRELIMINARIES 1 1.1 PROBABILITY THEORY 1 1.1.1 SAMPLE SPACES AND AXIOMS
OF PROBABILITY 2 1.1.2 CONDITIONAL PROBABILITY AND INDEPENDENCE 5 1.1.3
RANDOM VARIABLES AND DISTRIBUTIONS 7 1.1.4 EXPECTED VALUES AND VARIANCES
12 1.1.5 JOINT RANDOM VARIABLES AND THEIR DISTRIBUTIONS 16 1.1.6
INDEPENDENCE OF RANDOM VARIABLES 21 1.2 Z-TRANSFORMS - GENERATING
FUNCTIONS 22 1.2.1 PROPERTIES OF Z-TRANSFORMS 23 1.3 LAPLACE TRANSFORMS
28 1.3.1 PROPERTIES OF THE LAPLACE TRANSFORM 29 1.4 MATRIX OPERATIONS 32
1.4.1 MATRIX BASICS 32 1.4.2 EIGENVALUES, EIGENVECTORS AND SPECTRAL
REPRESENTATION 34 1.4.3 MATRIX CALCULUS 36 PROBLEMS . 39 2. INTRODUCTION
TO QUEUEING SYSTEMS 43 2.1 NOMENCLATURE OF A QUEUEING SYSTEM 44 2.1.1
CHARACTERISTICS OF THE INPUT PROCESS 45 2.1.2 CHARACTERISTICS OF THE
SYSTEM STRUCTURE 46 2.1.3 CHARACTERISTICS OF THE OUTPUT PROCESS 47 2.2
RANDOM VARIABLES AND THEIR RELATIONSHIPS 48 2.3 KENDALL NOTATION 50 VIII
CONTENTS 2.4 LITTLE S THEOREM 52 2.4.1 GENERAL APPLICATIONS OF LITTLE S
THEOREM 54 2.4.2 ERGODICITY 55 2.5 RESOURCE UTILIZATION AND TRAFFIC
INTENSITY 56 2.6 FLOW CONSERVATION LAW 57 2.7 POISSON PROCESS 59 2.7.1
THE POISSON PROCESS - A LIMITING CASE 59 2.7.2 THE POISSON PROCESS - AN
ARRIVAL PERSPECTIVE 60 2.8 PROPERTIES OF THE POISSON PROCESS 62 2.8.1
SUPERPOSITION PROPERTY 62 2.8.2 DECOMPOSITION PROPERTY 63 2.8.3
EXPONENTIALLY DISTRIBUTED INTER-ARRIVAL TIMES 64 2.8.4 MEMORYLESS
(MARKOVIAN) PROPERTY OF INTER-ARRIVAL TIMES 64 2.8.5 POISSON ARRIVALS
DURING A RANDOM TIME INTERVAL 66 PROBLEMS 69 3. DISCRETE AND CONTINUOUS
MARKOV PROCESSES 71 3.1 STOCHASTIC PROCESSES 72 3.2 DISCRETE-TIME MARKOV
CHAINS 74 3.2.1 DEFINITIONS OF DISCRETE-TIME MARKOV CHAINS 75 3.2.2
MATRIX FORMULATION OF STATE PROBABILITIES 79 3.2.3 GENERAL TRANSIENT
SOLUTIONS FOR STATE PROBABILITIES 81 3.2.4 STEADY-STATE BEHAVIOUR OF A
MARKOV CHAIN 86 3.2.5 REDUCIBILITY AND PERIODICITY OF A MARKOV CHAIN 88
3.2.6 SOJOURN TIMES OF A DISCRETE-TIME MARKOV CHAIN 90 3.3
CONTINUOUS-TIME MARKOV CHAINS 91 3.3.1 DEFINITION OF CONTINUOUS-TIME
MARKOV CHAINS 91 3.3.2 SOJOURN TIMES OF A CONTINUOUS-TIME MARKOV CHAIN
92 3.3.3 STATE PROBABILITY DISTRIBUTION 93 3.3.4 COMPARISON OF
TRANSITION-RATE AND TRANSITION- PROBABILITY MATRICES 95 3.4 BIRTH-DEATH
PROCESSES 96 PROBLEMS 100 4. SINGLE-QUEUE MARKOVIAN SYSTEMS 103 4.1
CLASSICAL M/M/L QUEUE 104 4.1.1 GLOBAL AND LOCAL BALANCE CONCEPTS 106
4.1.2 PERFORMANCE MEASURES OF THE M/M/L SYSTEM 107 4.2 PASTA - POISSON
ARRIVALS SEE TIME AVERAGES 110 4.3 M/M/L SYSTEM TIME (DELAY)
DISTRIBUTION 111 4.4 M/M/L/S QUEUEING SYSTEMS 118 4.4.1 BLOCKING
PROBABILITY 119 4.4.2 PERFORMANCE MEASURES OF M/M/L/S SYSTEMS 120
CONTENTS IX 4.5 MULTI-SERVER SYSTEMS - M/M/M 124 4.5.1 PERFORMANCE
MEASURES OF M/M/M SYSTEMS 126 4.5.2 WAITING TIME DISTRIBUTION OF M/M/M
127 4.6 ERLANG S LOSS QUEUEING SYSTEMS - M/M/M/M SYSTEMS 129 4.6.1
PERFORMANCE MEASURES OF THE M/M/M/M 130 4.7 ENGSET S LOSS SYSTEMS 131
4.7.1 PERFORMANCE MEASURES OF M/M/M/M WITH FINITE CUSTOMER POPULATION
133 4.8 CONSIDERATIONS FOR APPLICATIONS OF QUEUEING MODELS 134 PROBLEMS
139 5. SEMI-MARKOVIAN QUEUEING SYSTEMS 141 5.1 THE M/G/L QUEUEING SYSTEM
142 5.1.1 THE IMBEDDED MARKOV-CHAIN APPROACH 142 5.1.2 ANALYSIS OF M/G/L
QUEUE USING IMBEDDED MARKOV-CHAIN APPROACH 143 5.1.3 DISTRIBUTION OF
SYSTEM STATE 146 5.1.4 DISTRIBUTION OF SYSTEM TIME 147 5.2 THE RESIDUAL
SERVICE TIME APPROACH 148 5.2.1 PERFORMANCE MEASURES OF M/G/L 150 5.3
M/G/L WITH SERVICE VOCATIONS 155 5.3.1 PERFORMANCE MEASURES OF M/G/L
WITH SERVICE VACATIONS 156 5.4 PRIORITY QUEUEING SYSTEMS 158 5.4.1 M/G/L
NON-PREEMPTIVE PRIORITY QUEUEING 158 5.4.2 PERFORMANCE MEASURES OF
NON-PREEMPTIVE PRIORITY 160 5.4.3 M/G/L PRE-EMPTIVE RESUME PRIORITY
QUEUEING 163 5.5 THE G/M/L QUEUEING SYSTEM 165 5.5.1 PERFORMANCE
MEASURES OF GI/M/1 166 PROBLEMS 167 6. OPEN QUEUEING NETWORKS 169 6.1
MARKOVIAN QUERIES IN TANDEM 171 6.1.1 ANALYSIS OF TANDEM QUEUES 175
6.1.2 BURKE S THEOREM 176 6.2 APPLICATIONS OF TANDEM QUEUES IN DATA
NETWORKS 178 6.3 JACKSON QUEUEING NETWORKS 181 6.3.1 PERFORMANCE
MEASURES FOR OPEN NETWORKS 186 6.3.2 BALANCE EQUATIONS 190 PROBLEMS 193
7. CLOSED QUEUEING NETWORKS 197 7.1 JACKSON CLOSED QUEUEING NETWORKS 197
7.2 STEADY-STATE PROBABILITY DISTRIBUTION 199 X CONTENTS 7.3 CONVOLUTION
ALGORITHM 203 7.4 PERFORMANCE MEASURES 207 7.5 MEAN VALUE ANALYSIS 210
7.6 APPLICATION OF CLOSED QUEUEING NETWORKS 213 PROBLEMS 214 8.
MARKOV-MODULATED ARRIVAL PROCESS 217 8.1 MARKOV-MODULATED POISSON
PROCESS (MMPP) 218 8.1.1 DEFINITION AND MODEL 218 8.1.2 SUPERPOSITION OF
MMPPS 223 8.1.3 MMPP/G/1 225 8.1.4 APPLICATIONS OF MMPP 226 8.2
MARKOV-MODULATED BERNOULLI PROCESS 227 8.2.1 SOURCE MODEL AND DEFINITION
227 8.2.2 SUPERPOSITION OF N IDENTICAL MMBPS 228 8.2.3 IMMBP/D/L 229
8.2.4 QUEUE LENGTH SOLUTION 231 8.2.5 INITIAL CONDITIONS 233 8.3
MARKOV-MODULATED FLUID FLOW 233 8.3.1 MODEL AND QUEUE LENGTH ANALYSIS
233 8.3.2 APPLICATIONS OF FLUID FLOW MODEL TO ATM 236 8.4 NETWORK
CALCULUS 236 8.4.1 SYSTEM DESCRIPTION 237 8.4.2 INPUT TRAFFIC
CHARACTERIZATION - ARRIVAL CURVE 239 8.4.3 SYSTEM CHARACTERIZATION -
SERVICE CURVE 240 8.4.4 MIN-PLUS ALGEBRA 241 9. FLOW AND CONGESTION
CONTROL 243 9.1 INTRODUCTION 243 9.2 QUALITY OF SERVICE 245 9.3 ANALYSIS
OF SLIDING WINDOW FLOW CONTROL MECHANISMS 246 9.3.1 A SIMPLE VIRTUAL
CIRCUIT MODEL 246 9.3.2 SLIDING WINDOW MODEL 247 9.4 RATE BASED ADAPTIVE
CONGESTION CONTROL 257 REFERENCES 259 INDEX 265
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| dewey-search | 519.8/2 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| isbn | 9780470519578 |
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| spelling | Ng, Chee Hock Verfasser aut Queueing modelling fundamentals with applications in communication networks Ng Chee-Hock and Soong Boon-Hee 2. ed. Chichester [u.a.] Wiley 2008 XIX, 271 S. Ill., graph. Dast. txt rdacontent n rdamedia nc rdacarrier Queuing theory Telecommunication Traffic Rechnernetz (DE-588)4070085-9 gnd rswk-swf Warteschlangentheorie (DE-588)4255044-0 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Warteschlangentheorie (DE-588)4255044-0 s Rechnernetz (DE-588)4070085-9 s DE-604 Soong, Boon Hee Sonstige oth http://www.loc.gov/catdir/enhancements/fy0826/2008002732-d.html Publisher description HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017536687&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ng, Chee Hock Queueing modelling fundamentals with applications in communication networks Queuing theory Telecommunication Traffic Rechnernetz (DE-588)4070085-9 gnd Warteschlangentheorie (DE-588)4255044-0 gnd |
| subject_GND | (DE-588)4070085-9 (DE-588)4255044-0 (DE-588)4123623-3 |
| title | Queueing modelling fundamentals with applications in communication networks |
| title_auth | Queueing modelling fundamentals with applications in communication networks |
| title_exact_search | Queueing modelling fundamentals with applications in communication networks |
| title_full | Queueing modelling fundamentals with applications in communication networks Ng Chee-Hock and Soong Boon-Hee |
| title_fullStr | Queueing modelling fundamentals with applications in communication networks Ng Chee-Hock and Soong Boon-Hee |
| title_full_unstemmed | Queueing modelling fundamentals with applications in communication networks Ng Chee-Hock and Soong Boon-Hee |
| title_short | Queueing modelling fundamentals |
| title_sort | queueing modelling fundamentals with applications in communication networks |
| title_sub | with applications in communication networks |
| topic | Queuing theory Telecommunication Traffic Rechnernetz (DE-588)4070085-9 gnd Warteschlangentheorie (DE-588)4255044-0 gnd |
| topic_facet | Queuing theory Telecommunication Traffic Rechnernetz Warteschlangentheorie Lehrbuch |
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