Iterative methods for queuing and manufacturing systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London [u.a.]
Springer
2001
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| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 160 S. graph. Darst. |
| ISBN: | 1852334169 |
Internformat
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| 245 | 1 | 0 | |a Iterative methods for queuing and manufacturing systems |c Wai Ki Ching |
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Datensatz im Suchindex
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| adam_text | WAI KI CHING ITERATIVE METHODS FOR QUEUING AND MANUFACTURING SYSTEMS
WITH 17 FIGURES SPRINGER CONTENTS 1. INTRODUCTION AND OVERVIEW 1 1.1
INTRODUCTION 1 1.2 MARKOV PROCESS 1 1.2.1 DISCRETE TIME MARKOV PROCESS
OF TWO STATES 2 1.2.2 CONTINUOUS TIME MARKOV PROCESS 4 1.2.3 A
ONE-SERVER SYSTEM 8 1.3 SOME EXAMPLES IN QUEUING AND MANUFACTURING
SYSTEMS 11 1.3.1 AN M/M/S/N - S - 1 QUEUING SYSTEM 11 1.3.2 THE
N-MACHINE INTERFERENCE MODEL 14 1.3.3 THE TWO-QUEUE FREE SYSTEM 15 1.3.4
THE TWO-QUEUE OVERFLOW SYSTEM 17 1.4 ITERATIVE METHODS 19 1.4.1
CLASSICAL ITERATIVE METHODS 20 1.4.2 CONJUGATE GRADIENT METHOD AND ITS
CONVERGENCE RATE 22 1.4.3 THE CONJUGATE GRADIENT SQUARED METHOD 24 1.5
OUTLINE OF THE BOOK 27 EXERCISES 30 2. TOEPLITZ-CIRCULANT PRECONDITIONED
FOR QUEUING SYSTEMS WITH BATCH ARRIVALS 33 2.1 INTRODUCTION 33 2.2
CONSTRUCTION OF PRECONDITIONERS 36 2.2.1 COMPUTATIONAL COST 40 2.3
CONVERGENCE ANALYSIS 41 2.4 NUMERICAL EXAMPLES 42 2.5 SUMMARY AND
DISCUSSION 44 EXERCISES 45 3. CIRCULANT-BASED PRECONDITIONERS FOR
QUEUING SYSTEMS WITH MARKOV-MODULATED POISSON PROCESS INPUTS 4 7 3.1
INTRODUCTION TO MARKOV-MODULATED POISSON PROCESSES 47 3.2 THE QUEUING
SYSTEM 48 XIV CONTENTS 3.3 CONSTRUCTION OF CIRCULANT PRECONDITIONERS FOR
THE QUEUING SYSTEMS 51 3.4 CONVERGENCE ANALYSIS 54 3.5 THE METHOD OF
REGULARIZATION 55 3.6 COMPUTATIONAL AND MEMORY COST ANALYSIS 59 3.7
NUMERICAL EXAMPLES 61 3.8 SUMMARY AND DISCUSSION 62 EXERCISES 62 4.
APPLICATION OF MMPP TO MANUFACTURING SYSTEMS OF MULTI- PLE UNRELIABLE
MACHINES 65 4.1 INTRODUCTION 65 4.2 THE HEDGING POINT PRODUCTION POLICY
65 4.3 MANUFACTURING SYSTEMS OF MULTIPLE FAILURE PRONE MACHINES .. 67
4.4 NUMERICAL EXAMPLES 70 4.5 SUMMARY AND DISCUSSION 72 EXERCISES 72 5.
MANUFACTURING SYSTEMS WITH BATCH ARRIVALS 75 5.1 INTRODUCTION 75 5.2 THE
MACHINE-INVENTORY SYSTEM 77 5.3 CONSTRUCTION OF PRECONDITIONER 79 5.4
CONVERGENCE ANALYSIS 81 5.5 COMPUTATIONAL AND MEMORY COST ANALYSIS 86
5.6 NUMERICAL EXAMPLES 87 5.7 SUMMARY AND DISCUSSION 89 EXERCISES 90 6.
FLEXIBLE MANUFACTURING SYSTEMS OF UNRELIABLE MACHINES . . 93 6.1
INTRODUCTION 93 6.2 THE MACHINE-INVENTORY MODEL FOR FMS 94 6.3
CONSTRUCTION OF PRECONDITIONER 97 6.4 CONVERGENCE ANALYSIS 98 6.5
COMPUTATIONAL AND MEMORY COST ANALYSIS 100 6.6 NUMERICAL EXAMPLES 101
6.7 SYSTEM PERFORMANCE ANALYSIS 101 6.8 SUMMARY AND DISCUSSION 104
EXERCISES 104 7. MANUFACTURING SYSTEMS OF TWO MACHINES IN TANDEM 107 7.1
INTRODUCTION 107 7.2 THE TWO-MACHINE MANUFACTURING SYSTEM 108 7.3
CONSTRUCTION OF PRECONDITIONERS 110 7.4 CONVERGENCE ANALYSIS 112 7.5
COMPUTATIONAL COST ANALYSIS 113 CONTENTS XV 7.6 NUMERICAL EXAMPLES 114
7.7 APPROXIMATION METHOD 115 7.8 SUMMARY AND DISCUSSION 116 EXERCISES
117 8. MANUFACTURING SYSTEMS WITH DELIVERY TIME GUARANTEE . . . 119 8.1
INTRODUCTION 119 8.2 THE MANUFACTURING SYSTEM 120 8.3 THE DELIVERY TIME
DISTRIBUTION 121 8.4 DETERMINATION OF MAXIMUM ALLOWABLE BACKLOG 124 8.5
THE INVENTORY LEVELS 125 8.6 STEADY-STATE DISTRIBUTION OF INVENTORY
LEVELS 126 8.7 THE AVERAGE PROFIT OF THE MANUFACTURING SYSTEM 128 8.8
SPECIAL CASE ANALYSIS 129 8.9 NUMERICAL EXAMPLES 131 8.10 SUMMARY AND
DISCUSSION 131 EXERCISES 132 9. MULTI-LOCATION AND TWO-ECHELON INVENTORY
SYSTEMS 133 9.1 INTRODUCTION 133 9.2 THE MULTI-LOCATION INVENTORY
SYSTEMS 134 9.2.1 THE QUEUING SYSTEM OF EACH LOCATION 135 9.2.2
DETERMINATION OF THE MMPP PARAMETERS 136 9.2.3 THE QUEUING SYSTEMS OF
THE DEPOT 137 9.2.4 THE STEADY-STATE PROBABILITY OF THE DEPOT QUEUE 139
9.3 THE TWO-ECHELON INVENTORY MODEL 142 9.3.1 THE LOCAL WAREHOUSE 143
9.3.2 AN AGGREGATED MODEL FOR CENTRAL WAREHOUSE 146 9.4 SUMMARY AND
DISCUSSION 150 EXERCISES 150 REFERENCES 153 INDEX 159
|
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| author | Ching, Wai Ki 1969- |
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| dewey-full | 519.82 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
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| discipline | Mathematik Wirtschaftswissenschaften |
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| isbn | 1852334169 |
| language | English |
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| spelling | Ching, Wai Ki 1969- Verfasser (DE-588)122423046 aut Iterative methods for queuing and manufacturing systems Wai Ki Ching London [u.a.] Springer 2001 XV, 160 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Iteratief oplossen gtt Numerieke methoden gtt Productieprocessen gtt Wachttijdproblemen gtt Iterative methods (Mathematics) Queuing theory Reihenfolgeproblem (DE-588)4242167-6 gnd rswk-swf Iteration (DE-588)4123457-1 gnd rswk-swf Markov-Prozess (DE-588)4134948-9 gnd rswk-swf Wartesystem (DE-588)4251734-5 gnd rswk-swf Wartesystem (DE-588)4251734-5 s Markov-Prozess (DE-588)4134948-9 s Iteration (DE-588)4123457-1 s DE-604 Reihenfolgeproblem (DE-588)4242167-6 s HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009267323&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ching, Wai Ki 1969- Iterative methods for queuing and manufacturing systems Iteratief oplossen gtt Numerieke methoden gtt Productieprocessen gtt Wachttijdproblemen gtt Iterative methods (Mathematics) Queuing theory Reihenfolgeproblem (DE-588)4242167-6 gnd Iteration (DE-588)4123457-1 gnd Markov-Prozess (DE-588)4134948-9 gnd Wartesystem (DE-588)4251734-5 gnd |
| subject_GND | (DE-588)4242167-6 (DE-588)4123457-1 (DE-588)4134948-9 (DE-588)4251734-5 |
| title | Iterative methods for queuing and manufacturing systems |
| title_auth | Iterative methods for queuing and manufacturing systems |
| title_exact_search | Iterative methods for queuing and manufacturing systems |
| title_full | Iterative methods for queuing and manufacturing systems Wai Ki Ching |
| title_fullStr | Iterative methods for queuing and manufacturing systems Wai Ki Ching |
| title_full_unstemmed | Iterative methods for queuing and manufacturing systems Wai Ki Ching |
| title_short | Iterative methods for queuing and manufacturing systems |
| title_sort | iterative methods for queuing and manufacturing systems |
| topic | Iteratief oplossen gtt Numerieke methoden gtt Productieprocessen gtt Wachttijdproblemen gtt Iterative methods (Mathematics) Queuing theory Reihenfolgeproblem (DE-588)4242167-6 gnd Iteration (DE-588)4123457-1 gnd Markov-Prozess (DE-588)4134948-9 gnd Wartesystem (DE-588)4251734-5 gnd |
| topic_facet | Iteratief oplossen Numerieke methoden Productieprocessen Wachttijdproblemen Iterative methods (Mathematics) Queuing theory Reihenfolgeproblem Iteration Markov-Prozess Wartesystem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009267323&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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