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Bibliographische Detailangaben
Titel:Modern simulation and modeling
Von: Reuven Y. Rubinstein ; Benjamin Melamed
Person: Rubinstein, Reuven Y.
1938-2012
Verfasser
aut
Melamed, Benjamin
Hauptverfassende: Rubinstein, Reuven Y. 1938-2012 (VerfasserIn), Melamed, Benjamin (VerfasserIn)
Format: Buch
Sprache:Englisch
Veröffentlicht: New York [u.a.] Wiley 1998
Schriftenreihe:Wiley series in probability and statistics
Schlagworte:
Simulatiemodellen
Simulation, Méthodes de
Systèmes échantillonnés
Discrete-time systems
Simulation methods
Diskrete Simulation
Online-Zugang:http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008048837&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:XVII, 352 S. graph. Darst.
ISBN:0471170771
Internformat

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Datensatz im Suchindex

DE-BY-TUM_call_number 0102 MAT 902f 2001 A 1079
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adam_text MODERN SIMULATION AND MODELING REUVEN Y. RUBINSTEIN TECHNION, ISRAEL INSTITUTE OF TECHNOLOGY HAIFA, ISRAEL BENJAMIN MELAMED RUTGERS UNIVERSITY NEW BRUNSWICK, NEW JERSEY A WILEY-INTERSCIENCE PUBLICATION JOHN WILEY & SONS, **. NEW YORK * CHICHESTER * WEINHEIM * BRISBANE * SINGAPORE * TORONTO CONTENTS PREFACE XIUE ACRONYMS AND SYMBOLS XVII PART I CONVENTIONAL SIMULATION 1 SYSTEMS, MODELS, AND SIMULATION 5 1.1 INTRODUCTION 5 1.1.1 DISCRETE-EVENT SYSTEMS AND SIMULATION 5 1.2 SYSTEMS, MODELS, AND SIMULATION 5 1.3 DISCRETE-EVENT SIMULATION 10 1.3.1 SIMULATION CLOCK AND EVENT LIST 10 REFERENCES 13 2 RANDOM NUMBERS, VARIATES, AND STOCHASTIC PROCESS GENERATION 14 2.1 RANDOM NUMBER GENERATION 14 2.2 VARIATE GENERATION FROM PRESCRIBED DISTRIBUTIONS 18 2.2.1 INVERSE-TRANSFORM METHOD 18 2.2.2 COMPOSITION METHOD 22 2.2.3 ACCEPTANCE-REJECTION METHOD 24 2.3 RANDOM VECTOR GENERATION 27 2.3.1 VECTOR INVERSE-TRANSFORM METHOD 27 2.3.2 VECTOR ACCEPTANCE-REJECTION METHOD 28 2.3.3 GENERATING VARIATES FROM THE MULTINORMAL DISTRIBUTION 30 2.4 GENERATION OF CONTINUOUS VARIATES 32 VII VIII CONTENTS 2.4.1 EXPONENTIAL DISTRIBUTION 32 2.4.2 GAMMA DISTRIBUTION 33 2.4.3 BETA DISTRIBUTION 34 2.4.4 NORMAL DISTRIBUTION 35 2.5 GENERATING DISCRETE RANDOM VARIATES 38 2.5.1 BERNOULLI DISTRIBUTION 38 2.5.2 BINOMIAL DISTRIBUTION 39 2.5.3 GEOMETRIC DISTRIBUTION 40 2.5.4 POISSON DISTRIBUTION 40 2.6 GENERATING POISSON PROCESSES 42 2.6.1 GENERATING A STATIONARY POISSON PROCESS 42 2.6.2 GENERATING A NONSTATIONARY POISSON PROCESS 42 2.7 GENERATING RANDOM VECTORS, UNIFORMLY DISTRIBUTED OVER VARIOUS REGIONS 43 2.7.1 GENERATING RANDOM VECTORS OVER A SIMPLEX 43 2.7.2 GENERATING RANDOM VECTORS, UNIFORMLY DISTRIBUTED OVER A UNIT HYPERSPHERE 46 2.7.3 GENERATING RANDOM VECTORS, UNIFORMLY DISTRIBUTED OVER A HYPERELLIPSOID 50 2.8 INPUT ANALYSIS USING TES SEQUENCES 51 2.8.1 TES PROCESSES 54 2.8.2 TES MODELING METHODOLOGY 58 2.9 EXERCISES 62 REFERENCES 65 3 OUTPUT ANALYSIS OF DISCRETE-EVENT SYSTEMS VIA SIMULATION 68 3.1 INTRODUCTION 68 3.2 STATIC MODELS 68 3.3 FINITE-HORIZON SIMULATION OF DISCRETE-EVENT DYNAMIC SYSTEMS (DEDS) 70 3.4 STEADY-STATE SIMULATION OF DEDS 72 3.5 PLANNING QUEUEING SIMULATIONS 75 3.6 BATCH-MEAN METHOD 77 3.7 REGENERATIVE METHOD 78 3.8 EXERCISES 85 REFERENCES 87 4 VARIANCE REDUCTION TECHNIQUES 89 4.1 INTRODUCTION 89 CONTENTS IX 4.2 COMMON AND ANTITHETIC VARIATES 90 4.3 CONTROL VARIATES 95 4.4 CONDITIONAL MONTE CARLO 97 4.5 IMPORTANCE SAMPLING 100 4.6 STRATIFIED SAMPLING 102 4.7 EXERCISES 105 REFERENCES 108 PART II MODERN SIMULATION DISTRIBUTIONAL PARAMETERS 115 STRUCTURAL PARAMETERS 116 REFERENCES 117 5 SENSITIVITY ANALYSIS AND OPTIMIZATION OF DISCRETE-EVENT STATIC SYSTEMS (DESS) 119 5.1 INTRODUCTION 119 5.2 SENSITIVITY ANALYSIS OF SYSTEM PERFORMANCE 120 5.3 WHAT-IF PROBLEM AND THE RESPONSE-SURFACE METHODOLOGY 132 5.4 OPTIMIZATION OF DESS 146 5.5 EXERCISES 154 REFERENCES 158 6 SENSITIVITY ANALYSIS AND OPTIMIZATION OF DISCRETE-EVENT DYNAMIC SYSTEMS: DISTRIBUTED PARAMETERS 159 6.1 INTRODUCTION 159 6.2 SENSITIVITY ANALYSIS OF SYSTEM PERFORMANCE 162 6.2.1 ESTIMATION OF EXPECTED SOJOURN TIME 167 6.2.2 ESTIMATION OF EXPECTED NUMBER OF CUSTOMERS IN SYSTEM 169 6.3 DECOMPOSABLE SCORE FUNCTION ESTIMATORS 181 6.3.1 NUMERICAL RESULTS 187 6.4 OPTIMIZATION OF DEDS 191 6.4.1 OFF-LINE OPTIMIZATION 192 6.4.2 ON-LINE OPTIMIZATION 202 6.5 TOPOLOGICAL DESIGN OF NETWORKS 206 6.6 EXERCISES 207 REFERENCES 210 X CONTENTS 7 SENSITIVITY OF ANALYSIS OF DISCRETE-EVENT DYNAMIC SYSTEMS: STRUCTURAL PARAMETERS 212 7.1 INTRODUCTION 212 7.2 DIRECT, PUSH-OUT, AND PUSH-IN ESTIMATORS 216 7.2.1 DIRECT ESTIMATORS 216 7.2.2 PUSH-OUT TECHNIQUE 218 7.2.3 IPA TECHNIQUE 220 7.3 PUSH-OUT METHOD FOR DESS 224 7.3.1 EXTENSION TO SENSITIVITY ANALYSIS 228 7.4 PUSH-OUT METHOD FOR QUEUEING AND PRODUCTION MODELS 229 7.4.1 QUEUEING MODELS 229 7.4.2 PRODUCTION INVENTORY MODELS 233 7.5 PUSH-OUT METHOD FOR INVENTORY MODELS 237 7.5.1 PERFORMANCE EVALUATION AND SENSITIVITY ANALYSIS 239 7.5.2 OPTIMIZATION 255 7.5.3 NUMERICAL RESULTS 258 7.6 SENSITIVITY WITH AUTOCORRELATED INPUTS 258 7.7 COMBINING THE SCORE FUNCTION METHOD WITH THE CRUDE MONTE CARLO METHOD 262 7.8 SUMMARY 264 7.9 EXERCISES 266 REFERENCES 267 8 RESPONSE SURFACE METHODOLOGY VIA THE SCORE FUNCTION METHOD 270 8.1 INTRODUCTION 270 8.2 CHOOSING A GOOD REFERENCE PARAMETER 272 8.2.1 STATIC MODELS 272 8.2.2 SIMPLE QUEUES 274 8.2.3 QUEUEING NETWORKS 279 8.3 RESPONSE SURFACE METHODOLOGY VIA THE SCORE FUNCTION METHOD 283 8.3.1 STATIC MODELS 283 8.3.2 SIMPLE QUEUES 284 8.3.3 QUEUEING NETWORKS 287 8.4 ESTIMATING THE OPTIMAL REFERENCE PARAMETER 288 8.4.1 STATIC MODELS 289 8.4.2 QUEUEING MODELS 297 8.5 APPENDIX: CONVEXITY RESULTS 299 8.6 EXERCISES 301 REFERENCES 302 CONTENTS XI 9 ESTIMATING RARE-EVENT PROBABILITIES AND RELATED OPTIMIZATION ISSUES 304 9.1 INTRODUCTION 304 9.2 POLYNOMIAL-TIME ESTIMATORS 309 9.3 RARE-EVENT PROBABILITY ESTIMATION IN SIMPLE QUEUES 315 9.3.1 ECM AND OECM FOR SIMPLE RANDOM WALKS 315 9.3.2 CONVENTIONAL AND SWITCHING REGENERATIVE ESTIMATORS 318 9.3.3 ROBUSTNESS OF SWITCHING ESTIMATORS 322 9.4 RARE-EVENT PROBABILITY ESTIMATION FOR DESS 326 9.5 RARE-EVENT PROBABILITY ESTIMATION FOR QUEUEING NETWORKS 330 9.6 OPTIMIZATION WITH RARE EVENTS 333 9.7 SIMULATION RESULTS 336 9.7.1 ESTIMATING THE OPTIMAL PARAMETER VECTOR 336 9.7.2 ESTIMATING THE OPTIMAL SOLUTION 342 9.8 CONCLUDING REMARKS 344 9.9 EXERCISES 345 REFERENCES 347 INDEX 349
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author Rubinstein, Reuven Y. 1938-2012
Melamed, Benjamin
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Melamed, Benjamin
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spellingShingle Rubinstein, Reuven Y. 1938-2012
Melamed, Benjamin
Modern simulation and modeling
Simulatiemodellen gtt
Simulation, Méthodes de
Simulation, Méthodes de ram
Systèmes échantillonnés
Systèmes échantillonnés ram
Discrete-time systems
Simulation methods
Diskrete Simulation (DE-588)4258649-5 gnd
subject_GND (DE-588)4258649-5
title Modern simulation and modeling
title_auth Modern simulation and modeling
title_exact_search Modern simulation and modeling
title_full Modern simulation and modeling Reuven Y. Rubinstein ; Benjamin Melamed
title_fullStr Modern simulation and modeling Reuven Y. Rubinstein ; Benjamin Melamed
title_full_unstemmed Modern simulation and modeling Reuven Y. Rubinstein ; Benjamin Melamed
title_short Modern simulation and modeling
title_sort modern simulation and modeling
topic Simulatiemodellen gtt
Simulation, Méthodes de
Simulation, Méthodes de ram
Systèmes échantillonnés
Systèmes échantillonnés ram
Discrete-time systems
Simulation methods
Diskrete Simulation (DE-588)4258649-5 gnd
topic_facet Simulatiemodellen
Simulation, Méthodes de
Systèmes échantillonnés
Discrete-time systems
Simulation methods
Diskrete Simulation
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work_keys_str_mv AT rubinsteinreuveny modernsimulationandmodeling
AT melamedbenjamin modernsimulationandmodeling
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