Foundations of queueing theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Kluwer Acad. Publ.
1997
|
| Series: | International series in operations research & management science
7 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 206 S. graph. Darst. |
| ISBN: | 0792399625 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | FOUNDATIONS OF QUEUEING THEORY N.U. PRABHU CORNELL UNIVERSITY ITHACA,
NEW YORK, USA KLUWER ACADEMIC PUBLISHERS BOSTON/LONDON/DORDRECHT
CONTENTS PREFACE XI 1 INTRODUCTION L 1.1 DESCRIPTION OF A QUEUEING
SYSTEM 1 1.2 THE BASIC MODEL GI/G/S 3 1.3 PROCESSES OF INTEREST 6 1.4
THE NATURE OF CONGESTION 8 1.5 LITTLE S FORMULA L = W 9 1.6 CONTROL OF
QUEUEING SYSTEMS 10 1.7 HISTORICAL REMARKS 11 2 MARKOVIAN QUEUEING
SYSTEMS 13 2.1 INTRODUCTION 13 2.2 THE SYSTEM M/M/L 14 2.3 THE SYSTEM
M/M/S 17 2.4 A DESIGN PROBLEM 21 2.5 M/M/S SYSTEM WITH FINITE SOURCE 22
2.6 THE MACHINE INTERFERENCE PROBLEM 23 2.7 THE SYSTEM M/M/S WITH FINITE
CAPACITY 24 2.8 LOSS SYSTEMS 26 2.9 SOCIAL VERSUS SELF-OPTIMIZATION 27
2.10 THE SYSTEM M/M/S WITH BALKING 30 2.11 THE SYSTEM M/M/S WITH
RENEGING 32 2.12 PROBLEMS FOR SOLUTION 35 3 THE BUSY PERIOD, OUTPUT AND
QUEUES IN SERIES 43 VII VIII FOUNDATIONS OF QUEUEING THEORY 3.1
INTRODUCTION 43 3.2 THE BUSY PERIOD 43 3.3 THE M/M/S SYSTEM WITH LAST
COME, FIRST SERVED 50 3.4 COMPARISON OF FCFS AND LCFS 51 3.5
TIME-REVERSIBILITY OF MARKOV PROCESSES 52 3.6 THE OUTPUT PROCESS 54 3.7
THE MULTI-SERVER SYSTEM IN A SERIES 55 3.8 PROBLEMS FOR SOLUTION 56
ERLANGIAN QUEUEING SYSTEMS 59 4.1 INTRODUCTION 59 4.2 THE SYSTEM M/E K
/ 60 4.3 THE SYSTEM E K /M/1 67 4.4 THE SYSTEM M/D/L 72 4.5 PROBLEMS
FOR SOLUTION 74 PRIORITY SYSTEMS 79 5.1 DESCRIPTION OF A SYSTEM WITH
PRIORITIES 79 5.2 TWO PRIORITY CLASSES WITH PRE-EMPTIVE RESUME
DISCIPLINE 82 5.3 TWO PRIORITY CLASSES WITH HEAD-OF-LINE DISCIPLINE 87
5.4 SUMMARY OF RESULTS 91 5.5 OPTIMAL ASSIGNMENT OF PRIORITIES 91 5.6
PROBLEMS FOR SOLUTION 93 QUEUEING NETWORKS 97 6.1 INTRODUCTION 97 6.2 A
MARKOVIAN NETWORK OF QUEUES 98 6.3 CLOSED NETWORKS 103 6.4 OPEN
NETWORKS: THE PRODUCT FORMULA 104 6.5 JACKSON NETWORKS 111 6.6 EXAMPLES
OF CLOSED NETWORKS; CYCLIC QUEUES 112 6.7 EXAMPLES OF OPEN NETWORKS 114
6.8 PROBLEMS FOR SOLUTION 118 THE SYSTEM M/G/L-, PRIORIT Y SYSTEMS 123
7.1 INTRODUCTION 123 CONTENTS IX 7.2 THE WAITING TIME IN M/G/L 124 7.3
THE SOJOURN TIME AND THE QUEUE LENGTH 129 7.4 THE SERVICE INTERVAL 132
7.5 THE M/G/L SYSTEM WITH EXCEPTIONAL SERVICE 133 7.6 THE BUSY PERIOD IN
M/G/L 137 7.7 COMPLETION TIMES IN PRIORITY SYSTEMS 141 7.8 LOW PRIORITY
WAITING TIME 145 7.9 PROBLEMS FOR SOLUTION 146 8 THE SYSTEM GI/G/L;
IMBEDDED MARKOV CHAINS 149 8.1 IMBEDDED MARKOV CHAINS 149 8.2 THE SYSTEM
GI/G/L 150 8.3 THE WIENER-HOPF TECHNIQUE; EXAMPLES 154 8.4 SET-UP TIMES;
SERVER VACATIONS 161 8.5 THE QUEUE LENGTH AND WAITING TIME IN GI/M/1 166
8.6 THE QUEUE LENGTH IN M/G/L 170 8.7 TIME SHARING SYSTEMS 173 8.8 THE
M/M/L SYSTEM WITH RR DISCIPLINE 174 8.9 PROBLEMS FOR SOLUTION 177 A
APPENDIX 181 A.L THE POISSON PROCESS 181 A.2 RENEWAL THEORY 184 A.3 THE
BIRTH-AND-DEATH PROCESS 187 A.4 MARKOV PROCESSES WITH A COUNTABLE STATE
SPACE 190 A.5 MARKOV CHAINS 191 A.6 TWO THEOREMS ON FUNCTIONAL EQUATIONS
196 A.7 REVIEW PROBLEMS IN PROBABILITY AND STOCHASTIC PROCESSES 197 B
BIBLIOGRAPHY 199 INDEX 203
|
| any_adam_object | 1 |
| author | Prabhu, Narahari U. 1924- |
| author_GND | (DE-588)118076183 |
| author_facet | Prabhu, Narahari U. 1924- |
| author_role | aut |
| author_sort | Prabhu, Narahari U. 1924- |
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| building | Verbundindex |
| bvnumber | BV011980955 |
| callnumber-first | Q - Science |
| callnumber-label | QA274 |
| callnumber-raw | QA274.8.P73 1997 |
| callnumber-search | QA274.8.P73 1997 |
| callnumber-sort | QA 3274.8 P73 41997 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 130 SK 820 |
| ctrlnum | (OCoLC)37107151 (DE-599)BVBBV011980955 |
| dewey-full | 519.8/2 519.8/221 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.8/2 519.8/2 21 |
| dewey-search | 519.8/2 519.8/2 21 |
| dewey-sort | 3519.8 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011980955 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:19:37Z |
| institution | BVB |
| isbn | 0792399625 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008106793 |
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| owner | DE-703 DE-20 DE-824 DE-521 |
| owner_facet | DE-703 DE-20 DE-824 DE-521 |
| physical | XIV, 206 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Kluwer Acad. Publ. |
| record_format | marc |
| series | International series in operations research & management science |
| series2 | International series in operations research & management science |
| spelling | Prabhu, Narahari U. 1924- Verfasser (DE-588)118076183 aut Foundations of queueing theory N. U. Prabhu Boston [u.a.] Kluwer Acad. Publ. 1997 XIV, 206 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier International series in operations research & management science 7 Files d'attente, Théorie des ram Markov, Processus de ram Wachttijdproblemen gtt Queuing theory Warteschlangentheorie (DE-588)4255044-0 gnd rswk-swf Warteschlangentheorie (DE-588)4255044-0 s DE-604 International series in operations research & management science 7 (DE-604)BV011630976 7 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008106793&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Prabhu, Narahari U. 1924- Foundations of queueing theory International series in operations research & management science Files d'attente, Théorie des ram Markov, Processus de ram Wachttijdproblemen gtt Queuing theory Warteschlangentheorie (DE-588)4255044-0 gnd |
| subject_GND | (DE-588)4255044-0 |
| title | Foundations of queueing theory |
| title_auth | Foundations of queueing theory |
| title_exact_search | Foundations of queueing theory |
| title_full | Foundations of queueing theory N. U. Prabhu |
| title_fullStr | Foundations of queueing theory N. U. Prabhu |
| title_full_unstemmed | Foundations of queueing theory N. U. Prabhu |
| title_short | Foundations of queueing theory |
| title_sort | foundations of queueing theory |
| topic | Files d'attente, Théorie des ram Markov, Processus de ram Wachttijdproblemen gtt Queuing theory Warteschlangentheorie (DE-588)4255044-0 gnd |
| topic_facet | Files d'attente, Théorie des Markov, Processus de Wachttijdproblemen Queuing theory Warteschlangentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008106793&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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