A course on queueing models:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton, FL [u.a.]
Chapman & Hall/CRC
2007
|
| Schriftenreihe: | Statistics
189 |
| Schlagworte: | |
| Online-Zugang: | Publisher description Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | 461 S. graph. Darst. |
| ISBN: | 1584886463 9781584886464 |
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| adam_text | A COURSE ON QUEUEING MODELS JOTI LAL JAIN UNIVERSITY OF DELHI INDIA SRI
GOPAL MOHANTY MCMASTER UNIVERSITY ONTARIO, CANADA WALTER BOEHM UNIVERSITY
OF ECONOMICS VIENNA, AUSTRIA ^JJCHAPMAN & HALL/CRC M M TAYLOR SIFRANCIS
GROUP BOCA RATON LONDON NEW YORK CHAPMAN FS HALL/CRC IS AN IMPRINT OF
THE TAYLOR ST FRANCIS GROUP, AN INFORMA BUSINESS CONTENTS PART 1 CHAPTER
1. QUEUES: BASIC CONCEPTS HL. INTRODUCLION 1.2. QUEUES: FEATURES AND
GHARACTERISTICS 1.3. GRAPHIEAL METHODS 1.4. MODELLIUG 1.5. SCOPE AND
ORGANIZATION 1.6. EXERCISES LIEFEREN CES CHAPTER 2. MARKOVIAN QUEUES
2.1. INTRODUCTION 2.2. A SIMPLE MODEL: STEADY-STATE BEHAVIOUR 2.3.
BIRTH-DEATH MODELS: STEADY-STATE BEHAVIOUR 2.4. ERLANGIAU MODELS:
STEADY-STAIE BEHAVIOUR 2.4.1. THE M/E K / RAODEL 2.4.2. THE E K /M/L
INODEL 2.5. TRARISICIIT BEHAVIOUR 2.5.1. MET HO D 1 2.5.2. METHOD 2
2.5.3. SOME ALTERNATIVE FORMULAS 2.6. WAITING TIME AND LITTLE S FORMULA
2.7. BUSY PCRIODS AND LDLE PCRIODS 2.8. NETWORKS OF QUEUES I 2.9.
OPTIMIZATION 2.9.1. OPTIMAL DESIGNS 2.9.2. OPTIMAL CONTROL POLIEIES
2.10. DISCUSSION 2.11. EXERCISES LIEFEREN CES CHAPTER 3. REGENERATIVE
NON-MARKOVIAN QUEUES I 3.1. INTRODUCLION 3.2. MARKOVIAN LNPUT MODELS
3.3. MARKOVIAN SERVICE-TIME MODELS 3.4. BULK QUEUES 3.1.1. THE M/G A - B
/L MODCL 3.4.2. THE M/E^/L MODEL 3.4.3. THE M/D B /1 MODCL 3.4.4. THE G
K /M/1 MODCL 3.4.5. M K /M/L 3.5. FUNCTIONAL RELATION: A HENRISTIC
APPROACH 3.6. BUSY PERIODS 3.6.1. AIIALYTIE METHODS 3.6.2. COMBINATORIAL
METHODS 3.7. DISCRETE-TIME QUEUES 3.8. DISCUSSION 3.9. EXERDSES
REFERENCCK CHAPTER 4. COMPUTATIONAL METHODS - I 4.1. INTRODUKTION 4.2.
ROOT FINDING METHODS 1.2.1. THE FACTORIZATION NIETHOD 4.3. THE STATE 1
RERIUCTION METHOD 4.4. TRANSIONT BEHAVIOUR: NUMCRIEA] APPROACHES 4.1.1.
THE EIGENVALUE METHOD 4.1.2. THE CONTI MIED FRACTION METHOD 1.4.3. THE
POWER SERIES METHOD 1.4.4. THE RANDOINIZATIOII METHOD 4.4.5. THE
Q-FUNCTION METHOD 4.5. DISCUSSION 4.6. EXEREISES REFCIENEES CHAPTER 5.
STATISTICAL INFERENCE AND SIMULATION 5.1. INTRODUCTIORI 5.2. STATISTICAL
INFERENCE 5.3. SOLVING QUEUEING PROBLEMS BY SIMULATION 5.3.1. DISCRETE
EVENT SIMULATION 5.3.2. SIMULATION OF TRANSIENT CHARA.CTERISTICS 5.3.3.
SIMULATION OF STEADY-STATE CHARACTERISTICS 5.4. A PRACTICAL APPLICATION
5.5. DISCUSSION 5.6. EXEREISES R.EFERENCES PART 2 CHAPTER 6.
REGENERATIVE NON-MARKOVIAN QUEUES 6.1. IIIT.RODUCTION 6.2.
NON-MARKOVIAII QUEUES: TRANSIENT SOLUTION 189 6.2.1. THE M/G/L MODEL 189
6.2.2. THE G/MFI MODEL 192 6.3. COMBINATORIAL METHODS 19G 6.3.1. THE
BALLOT PIOBLEM, RANDOM WALK AND APPLICATIONS 196 6.3.2. THE UM PROBLEIN
AND APPLICATIONS 207 6.4. FUNCTIONAL RELATIONS 218 6.5. DISCUSSION 223
6.6. EXERCISES 227 REFERENCES 2-J CHAPTER 7. GENERAL QUEUES 231 7.1.
IIITRODUCTION 231 7.2. WAITING TIME AND IDLE TIME: AN ANALYTIC METHOD
232 7.3. BOUNDS FOR THE AVERAGC WAITING TIME 237 7.4. A HEAVY TRAFFIC
APPROXIMATION 239 7.5. DIFFUSION APPROXIMATION 24.) 7.6. WAITING TIME
AND IDLE TIME: A PIOBABILIHTIC METHOD 244 7.7. DUALITY 247 7.8.
DISCUSSION 253 7.9. EXERCIHES 255 REFERENCES 258 CHAPTER 8.
COMPUTATIONAL METHODS - II 261 8.1. IIITRODUCTION 261 8.2. THE
MATRIX-GEOMETRIE SOLUTION 261 8.2.1. EXAMPLES 262 8.2.2.
QUASI-BHTH-DEATH PROCESSES 264 8.2.3. PHASE TYPE (PH) DISTRIBUTIONS 268
8.2.4. BIVARIATE MARKOV CHAINS AND PROEEHSES 270 8.3. THE BLOCK
ELIMINATION METHOD 277 8.3.1. CENSORING 277 8.3.2. BLOCK ELIMINAT.ION AS
CENSORING 278 8.4. THE FOURIER SCRIES METHOD FOR IN VERTRUG TRANSFORMS
281 8.4.1. INVERSION OF PROBABILITY GENERATING FIMCTIONS 283 8.4.2.
INVERSION OF LAPLACE TRANSFORMS 285 8.5. DISCUSSION 2,31 8.6. EXERCISES
294 REFERENCES 2JO CHAPTER 9. DISCRETE-TIME QUEUES: TRANSIENT SOLUTIONS
299 9.1. IIITRODUCTION 299 9.2. COMBINATORIAL METHODS: LATTICE PATH
APPROACH 299 9.2.1. THE GEO/GCO/L NIODE 9.2.2. THE GEO R /GEO/L MODEL
9.2.3. THE GEO/GEO/C MODEL 300 R /R T VN/1 MODEL 303 305 9.2.4. QUEUES
WITH HETEROGENEOUS ARRIVALS 9.2.5. A SIMPLE JACKSON NETWORK 9.2.6. A
LITNITING PROCEDURA 9.3. RECURRENCE RELATIONS 9.3.1. THE GEO/G/] MODEL
9.3.2. COMPUTER IMPLEMENTATION 9.3.3. THE G/GEO/L MODEL 9.4. ALGEBRAK
METLIODS 9.5. DISCUSSION 9.6. EXEREISES LIEFEREN CES CHAPTCR 10.
MISCELLANCOUS TOPICS 10.1. JNTRODUCTION 10.2. PRIORI TY QNEUES 10.2.1.
NON-PREEMPTIVE PRIORITY 10.2.2. PREEMPTIVE-RESUME PRIORITY 10.3. QUEUES
WITH INFINITE SERVERS 10.4. DESIGN AND CONTROL OF QUEUES 10.4.1. AF/GYI
MODEIS OPERATING UNDER (0. AE )-POIICY 10.4.2. AI/G/L MODEL WITH SERVER
VACATIONS 10.4.3. INDIVIDNAL AND SOCIAL OPTIMIZATION 10.5. NETWORKS OF
QUEUES II 10.5.1. GLOSED JACKSON NETWORK 10.5.2. PERFORMANCE MEASURES
10.6. DISCUSSION 10.7. EXEREISES REFERE UCES APPENDICCS APPENDIX A. A.L.
PROBABILITY A.2. RANDOM VARIABLES A.3. EXPEETATION A.4. SPECIAL
DISTRIBUTIONS A..5. COMPLEX VARIABLES AND INTEGRAL DYANSFONUS A.6.
STOCHASTIC PROCESSES A.7. POISSOTI PROCESSES, BIRTH-DEATLI PROCESSES
A.8. MARKOV CHAMS, MARKOV PROCESSES A.9. STATISTICAL CONCEPT.S A.10.
MATRIX ANALYSIS A.LL. NUMERICAL ANALYSIS APPENDIX B. TABLE B-1
DISTRIBUTION IIMCTION OF THE STANDARD NORMAL DISTRIBUTION TABLE B-2
QUANTILES X OT TLLE CHI-SQUARE DISTRIBUTION WITH M DEGREES OF FREEDOM
444 TABLE B-3 QUANTILES F V OF FLU; F-DISTRIBUTION WITH NI AND N DEGREES
OF FREEDOM 445 TABLE B-4 QUANTILES C P OF THE 2-SIDED KOLMOGOROV-SMIRNOV
STATISTIE 446 APPENDIX C. NOTATIONS 447 APPENDIX D. FORMULAS 45] TABLE
OF IMPORTANT RCSULTS 451 INDEX 4JJ
|
| adam_txt |
A COURSE ON QUEUEING MODELS JOTI LAL JAIN UNIVERSITY OF DELHI INDIA SRI
GOPAL MOHANTY MCMASTER UNIVERSITY ONTARIO, CANADA WALTER BOEHM UNIVERSITY
OF ECONOMICS VIENNA, AUSTRIA ^JJCHAPMAN & HALL/CRC M M TAYLOR SIFRANCIS
GROUP BOCA RATON LONDON NEW YORK CHAPMAN FS HALL/CRC IS AN IMPRINT OF
THE TAYLOR ST FRANCIS GROUP, AN INFORMA BUSINESS CONTENTS PART 1 CHAPTER
1. QUEUES: BASIC CONCEPTS HL. INTRODUCLION 1.2. QUEUES: FEATURES AND
GHARACTERISTICS 1.3. GRAPHIEAL METHODS 1.4. MODELLIUG 1.5. SCOPE AND
ORGANIZATION 1.6. EXERCISES LIEFEREN CES CHAPTER 2. MARKOVIAN QUEUES
2.1. INTRODUCTION 2.2. A SIMPLE MODEL: STEADY-STATE BEHAVIOUR 2.3.
BIRTH-DEATH MODELS: STEADY-STATE BEHAVIOUR 2.4. ERLANGIAU MODELS:
STEADY-STAIE BEHAVIOUR 2.4.1. THE M/E K /\ RAODEL 2.4.2. THE E K /M/L
INODEL 2.5. TRARISICIIT BEHAVIOUR 2.5.1. MET HO D 1 2.5.2. METHOD 2
2.5.3. SOME ALTERNATIVE FORMULAS 2.6. WAITING TIME AND LITTLE'S FORMULA
2.7. BUSY PCRIODS AND LDLE PCRIODS 2.8. NETWORKS OF QUEUES I 2.9.
OPTIMIZATION 2.9.1. OPTIMAL DESIGNS 2.9.2. OPTIMAL CONTROL POLIEIES
2.10. DISCUSSION 2.11. EXERCISES LIEFEREN CES CHAPTER 3. REGENERATIVE
NON-MARKOVIAN QUEUES I 3.1. INTRODUCLION 3.2. MARKOVIAN LNPUT MODELS
3.3. MARKOVIAN SERVICE-TIME MODELS 3.4. BULK QUEUES 3.1.1. THE M/G A - B
/L MODCL 3.4.2. THE M/E^/L MODEL 3.4.3. THE M/D" B /1 MODCL 3.4.4. THE G
K /M/1 MODCL 3.4.5. M K /M/L 3.5. FUNCTIONAL RELATION: A HENRISTIC
APPROACH 3.6. BUSY PERIODS 3.6.1. AIIALYTIE METHODS 3.6.2. COMBINATORIAL
METHODS 3.7. DISCRETE-TIME QUEUES 3.8. DISCUSSION 3.9. EXERDSES
REFERENCCK CHAPTER 4. COMPUTATIONAL METHODS - I 4.1. INTRODUKTION 4.2.
ROOT FINDING METHODS 1.2.1. THE FACTORIZATION NIETHOD 4.3. THE STATE 1
RERIUCTION METHOD 4.4. TRANSIONT BEHAVIOUR: NUMCRIEA] APPROACHES 4.1.1.
THE EIGENVALUE METHOD 4.1.2. THE CONTI MIED FRACTION METHOD 1.4.3. THE
POWER SERIES METHOD 1.4.4. THE RANDOINIZATIOII METHOD 4.4.5. THE
Q-FUNCTION METHOD 4.5. DISCUSSION 4.6. EXEREISES REFCIENEES CHAPTER 5.
STATISTICAL INFERENCE AND SIMULATION 5.1. INTRODUCTIORI 5.2. STATISTICAL
INFERENCE 5.3. SOLVING QUEUEING PROBLEMS BY SIMULATION 5.3.1. DISCRETE
EVENT SIMULATION 5.3.2. SIMULATION OF TRANSIENT CHARA.CTERISTICS 5.3.3.
SIMULATION OF STEADY-STATE CHARACTERISTICS 5.4. A PRACTICAL APPLICATION
5.5. DISCUSSION 5.6. EXEREISES R.EFERENCES PART 2 CHAPTER 6.
REGENERATIVE NON-MARKOVIAN QUEUES 6.1. IIIT.RODUCTION 6.2.
NON-MARKOVIAII QUEUES: TRANSIENT SOLUTION 189 6.2.1. THE M/G/L MODEL 189
6.2.2. THE G/MFI MODEL 192 6.3. COMBINATORIAL METHODS 19G 6.3.1. THE
BALLOT PIOBLEM, RANDOM WALK AND APPLICATIONS 196 6.3.2. THE UM PROBLEIN
AND APPLICATIONS 207 6.4. FUNCTIONAL RELATIONS 218 6.5. DISCUSSION 223
6.6. EXERCISES 227 REFERENCES 2-J CHAPTER 7. GENERAL QUEUES 231 7.1.
IIITRODUCTION 231 7.2. WAITING TIME AND IDLE TIME: AN ANALYTIC METHOD
232 7.3. BOUNDS FOR THE AVERAGC WAITING TIME 237 7.4. A HEAVY TRAFFIC
APPROXIMATION 239 7.5. DIFFUSION APPROXIMATION 24.) 7.6. WAITING TIME
AND IDLE TIME: A PIOBABILIHTIC METHOD 244 7.7. DUALITY 247 7.8.
DISCUSSION 253 7.9. EXERCIHES 255 REFERENCES 258 CHAPTER 8.
COMPUTATIONAL METHODS - II 261 8.1. IIITRODUCTION 261 8.2. THE
MATRIX-GEOMETRIE SOLUTION 261 8.2.1. EXAMPLES 262 8.2.2.
QUASI-BHTH-DEATH PROCESSES 264 8.2.3. PHASE TYPE (PH) DISTRIBUTIONS 268
8.2.4. BIVARIATE MARKOV CHAINS AND PROEEHSES 270 8.3. THE BLOCK
ELIMINATION METHOD 277 8.3.1. CENSORING 277 8.3.2. BLOCK ELIMINAT.ION AS
CENSORING 278 8.4. THE FOURIER SCRIES METHOD FOR IN VERTRUG TRANSFORMS
281 8.4.1. INVERSION OF PROBABILITY GENERATING FIMCTIONS 283 8.4.2.
INVERSION OF LAPLACE TRANSFORMS 285 8.5. DISCUSSION 2,31 8.6. EXERCISES
294 REFERENCES 2JO CHAPTER 9. DISCRETE-TIME QUEUES: TRANSIENT SOLUTIONS
299 9.1. IIITRODUCTION 299 9.2. COMBINATORIAL METHODS: LATTICE PATH
APPROACH 299 9.2.1. THE GEO/GCO/L NIODE 9.2.2. THE GEO R /GEO/L MODEL
9.2.3. THE GEO/GEO/C MODEL 300 R /R T VN/1 MODEL 303 305 9.2.4. QUEUES
WITH HETEROGENEOUS ARRIVALS 9.2.5. A SIMPLE JACKSON NETWORK 9.2.6. A
LITNITING PROCEDURA 9.3. RECURRENCE RELATIONS 9.3.1. THE GEO/G/] MODEL
9.3.2. COMPUTER IMPLEMENTATION 9.3.3. THE G/GEO/L MODEL 9.4. ALGEBRAK
METLIODS 9.5. DISCUSSION 9.6. EXEREISES LIEFEREN CES CHAPTCR 10.
MISCELLANCOUS TOPICS 10.1. JNTRODUCTION 10.2. PRIORI TY QNEUES 10.2.1.
NON-PREEMPTIVE PRIORITY 10.2.2. PREEMPTIVE-RESUME PRIORITY 10.3. QUEUES
WITH INFINITE SERVERS 10.4. DESIGN AND CONTROL OF QUEUES 10.4.1. AF/GYI
MODEIS OPERATING UNDER (0. AE')-POIICY 10.4.2. AI/G/L MODEL WITH SERVER
VACATIONS 10.4.3. INDIVIDNAL AND SOCIAL OPTIMIZATION 10.5. NETWORKS OF
QUEUES II 10.5.1. GLOSED JACKSON NETWORK 10.5.2. PERFORMANCE MEASURES
10.6. DISCUSSION 10.7. EXEREISES REFERE UCES APPENDICCS APPENDIX A. A.L.
PROBABILITY A.2. RANDOM VARIABLES A.3. EXPEETATION A.4. SPECIAL
DISTRIBUTIONS A.5. COMPLEX VARIABLES AND INTEGRAL DYANSFONUS A.6.
STOCHASTIC PROCESSES A.7. POISSOTI PROCESSES, BIRTH-DEATLI PROCESSES
A.8. MARKOV CHAMS, MARKOV PROCESSES A.9. STATISTICAL CONCEPT.S A.10.
MATRIX ANALYSIS A.LL. NUMERICAL ANALYSIS APPENDIX B. TABLE B-1
DISTRIBUTION IIMCTION OF THE STANDARD NORMAL DISTRIBUTION TABLE B-2
QUANTILES X\ OT ' TLLE CHI-SQUARE DISTRIBUTION WITH M DEGREES OF FREEDOM
444 TABLE B-3 QUANTILES F V OF FLU; F-DISTRIBUTION WITH NI AND N DEGREES
OF FREEDOM 445 TABLE B-4 QUANTILES C P OF THE 2-SIDED KOLMOGOROV-SMIRNOV
STATISTIE 446 APPENDIX C. NOTATIONS 447 APPENDIX D. FORMULAS 45] TABLE
OF IMPORTANT RCSULTS 451 INDEX 4JJ |
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| author | Jain, Joti Lal |
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| dewey-full | 519.8/2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.8/2 |
| dewey-search | 519.8/2 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV021744623 |
| illustrated | Illustrated |
| index_date | 2024-07-02T15:30:26Z |
| indexdate | 2024-07-09T20:43:03Z |
| institution | BVB |
| isbn | 1584886463 9781584886464 |
| language | English |
| lccn | 2006045490 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014957916 |
| oclc_num | 67728745 |
| open_access_boolean | |
| owner | DE-703 DE-20 DE-188 |
| owner_facet | DE-703 DE-20 DE-188 |
| physical | 461 S. graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Chapman & Hall/CRC |
| record_format | marc |
| series | Statistics |
| series2 | Statistics |
| spelling | Jain, Joti Lal Verfasser aut A course on queueing models Joti Lal Jain ; Sri Gopal Mohanty ; Walter Böhm Boca Raton, FL [u.a.] Chapman & Hall/CRC 2007 461 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Statistics 189 Includes bibliographical references and index Queuing theory Textbooks Warteschlangentheorie (DE-588)4255044-0 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Warteschlangentheorie (DE-588)4255044-0 s DE-604 Mohanty, Gopal 1933- Sonstige (DE-588)119469243 oth Böhm, Walter Sonstige oth Statistics 189 (DE-604)BV000003265 189 http://www.loc.gov/catdir/enhancements/fy0654/2006045490-d.html Publisher description GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014957916&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jain, Joti Lal A course on queueing models Statistics Queuing theory Textbooks Warteschlangentheorie (DE-588)4255044-0 gnd |
| subject_GND | (DE-588)4255044-0 (DE-588)4123623-3 |
| title | A course on queueing models |
| title_auth | A course on queueing models |
| title_exact_search | A course on queueing models |
| title_exact_search_txtP | A course on queueing models |
| title_full | A course on queueing models Joti Lal Jain ; Sri Gopal Mohanty ; Walter Böhm |
| title_fullStr | A course on queueing models Joti Lal Jain ; Sri Gopal Mohanty ; Walter Böhm |
| title_full_unstemmed | A course on queueing models Joti Lal Jain ; Sri Gopal Mohanty ; Walter Böhm |
| title_short | A course on queueing models |
| title_sort | a course on queueing models |
| topic | Queuing theory Textbooks Warteschlangentheorie (DE-588)4255044-0 gnd |
| topic_facet | Queuing theory Textbooks Warteschlangentheorie Lehrbuch |
| url | http://www.loc.gov/catdir/enhancements/fy0654/2006045490-d.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014957916&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003265 |
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