From Markov jump processes to spatial queues:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer Academic Publishers
2003
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XX, 156 S. Ill. |
| ISBN: | 1402011040 |
Internformat
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Datensatz im Suchindex
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| adam_text | FROM MARKOV JUMP PROCESSES TO SPATIAL QUEUES BY LOTHAR BREUER DEPARTMENT
OF COMPUTER SCIENCE, UNIVERSITY OF TRIER, GERMANY KLUWER ACADEMIC
PUBLISHERS DORDRECHT / BOSTON / LONDON CONTENTS PREFACE IX
ACKNOWLEDGMENTS XIII INTRODUCTION XV PART I A CLOSER LOOK INTO THEORY 1.
MARKOV JUMP PROCESSES 3 1. DEFINITION AND CONSTRUCTION 4 2. KOLMOGOROV
DIFFERENTIAL EQUATIONS 11 3. THE HOMOGENEOUS CASE AND AN APPROXIMATION
13 4. QUASI-COMMUTABILITY OF GENERATORS 16 5. PERIODIC MARKOV JUMP
PROCESSES 17 5.1 TRANSIENT DISTRIBUTIONS 18 5.2 ASYMPTOTIC DISTRIBUTIONS
19 2. MARKOV-ADDITIVE JUMP PROCESSES 23 1. DEFINITION AND TRANSITION
PROBABILITIES 24 2. ELEMENTARY PROPERTIES 27 3. MAJPS ON A REAL VECTOR
SPACE 29 4. DISCRETE MARKOVIAN ARRIVAL PROCESSES 33 5. LAWS OF LARGE
NUMBERS 37 VI FROM MARKOV JUMP PROCESSES TO SPATIAL QUEUES PART II
CLASSICAL QUEUES 3. EXAMPLES OF MARKOVIAN ARRIVAL PROCESSES 1. BATCH
MARKOVIAN ARRIVAL PROCESSES 1.1 THE HOMOGENEOUS CASE 1.2 THE GENERAL
CASE 2. FLUID MARKOVIAN ARRIVAL PROCESSES 2.1 THE HOMOGENEOUS CASE 2.2
THE GENERAL CASE 4. THE PERIODIC BMAP/PH/C QUEUE 53 1. TRANSITION
PROBABILITIES 54 2. STABILITY AND ASYMPTOTIC DISTRIBUTIONS 56 5. THE
BMAP/G/OO QUEUE 61 1. THE HOMOGENEOUS CASE 62 2. ASYMPTOTIC STABILITY 66
3. THE GENERAL CASE 68 4. AN APPROXIMATION 70 5. BOUNDS FOR THE
BMAP/G/C/C LOSS SYSTEM 73 6. MODEL FITTING FOR HOMOGENEOUS BMAPS 75 1.
AN EM ALGORITHM FOR MAPS AND BMAPS 76 1.1 COMPLETE SAMPLE CASE FOR MAPS
77 1.2 EM FOR MAPS 78 1.3 EM FOR BMAPS 81 2. A SIMPLER ESTIMATION
PROCEDURE 81 2.1 ESTIMATING THE MATRIX DO 82 2.2 PHASES AT ARRIVAL
INSTANTS 83 2.3 ESTIMATING THE MATRICES D N FOR N 1 84 3. NUMERICAL
RESULTS 85 PART III SPATIAL QUEUES 7. SPATIAL MARKOVIAN ARRIVAL
PROCESSES 91 1. STOCHASTIC POINT FIELDS 92 1.1 DEFINITION AND
CONSTRUCTION 92 1.2 EXAMPLES 95 2. DEFINITION AND CONSTRUCTION OF SMAPS
96 CONTENTS VII 3. THE HOMOGENEOUS CASE 100 4. THE GENERAL CASE 102 5.
EXAMPLES 104 8. THE SMAP/MT/C/C QUEUE 107 1. TRANSITION PROBABILITIES
110 2. ASYMPTOTIC DISTRIBUTIONS 113 3. A LOSS FORMULA 114 9. SPATIAL
QUEUES WITH INFINITELY MANY SERVERS 119 1. HOMOGENEOUS ARRIVAL RATES
WITHOUT USER MOVEMENTS 120 1.1 ONE-DIMENSIONAL MARGINAL DISTRIBUTIONS
120 1.2 JOINT DISTRIBUTION IN FINITELY MANY SUBSETS 125 1.3 ASYMPTOTIC
STABILITY 127 2. GENERAL ARRIVAL RATES WITHOUT USER MOVEMENTS 129 2.1
TRANSIENT DISTRIBUTION 129 2.2 AN APPROXIMATION 131 3. GENERAL ARRIVAL
RATES WITH USER MOVEMENTS 134 4. APPLICATION: PLANNING A MOBILE
COMMUNICATION NETWORK 137 10. MODEL FITTING FOR A CLASS OF SMAPS 139 1.
ARRIVAL RATES 140 2. PHASES AT ARRIVAL INSTANTS 142 3. GENERATOR MATRIX
143 GLOSSARY 145 REFERENCES 147 INDEX 155
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T20:07:35Z |
| institution | BVB |
| isbn | 1402011040 |
| language | English |
| lccn | 2002044705 |
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| physical | XX, 156 S. Ill. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Kluwer Academic Publishers |
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| spelling | Breuer, Lothar Verfasser aut From Markov jump processes to spatial queues by Lothar Breuer Dordrecht [u.a.] Kluwer Academic Publishers 2003 XX, 156 S. Ill. txt rdacontent n rdamedia nc rdacarrier Markov-processen gtt Wachttijdproblemen gtt aJump processes aQueuing theory Warteschlangentheorie (DE-588)4255044-0 gnd rswk-swf Markov-Sprungprozess (DE-588)4427907-3 gnd rswk-swf Markov-Sprungprozess (DE-588)4427907-3 s Warteschlangentheorie (DE-588)4255044-0 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013176279&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Breuer, Lothar From Markov jump processes to spatial queues Markov-processen gtt Wachttijdproblemen gtt aJump processes aQueuing theory Warteschlangentheorie (DE-588)4255044-0 gnd Markov-Sprungprozess (DE-588)4427907-3 gnd |
| subject_GND | (DE-588)4255044-0 (DE-588)4427907-3 |
| title | From Markov jump processes to spatial queues |
| title_auth | From Markov jump processes to spatial queues |
| title_exact_search | From Markov jump processes to spatial queues |
| title_full | From Markov jump processes to spatial queues by Lothar Breuer |
| title_fullStr | From Markov jump processes to spatial queues by Lothar Breuer |
| title_full_unstemmed | From Markov jump processes to spatial queues by Lothar Breuer |
| title_short | From Markov jump processes to spatial queues |
| title_sort | from markov jump processes to spatial queues |
| topic | Markov-processen gtt Wachttijdproblemen gtt aJump processes aQueuing theory Warteschlangentheorie (DE-588)4255044-0 gnd Markov-Sprungprozess (DE-588)4427907-3 gnd |
| topic_facet | Markov-processen Wachttijdproblemen aJump processes aQueuing theory Warteschlangentheorie Markov-Sprungprozess |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013176279&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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