Holdings: Performance analysis of flow lines with non-linear flow of material

Performance analysis of flow lines with non-linear flow of material:

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Bibliographic Details
Main Author:	Helber, Stefan 1963- (Author)
Format:	Book
Language:	German
Published:	Berlin u.a. Springer 1999
Series:	Lecture notes in economics and mathematical systems 473
Subjects:	Logistique (organisation) - Modèles mathématiques Niet-lineaire modellen Prestatiebeoordeling Productiemanagement Productieplanning Production - Gestion - Modèles mathématiques Stochastische analyse Wiskundige modellen Mathematisches Modell Production engineering > Mathematical models Production management > Mathematical models Stochastic analysis Stochastischer Prozess Reihenfolgeproblem Kapazitätsbelegungsplanung Fließfertigung Hochschulschrift
Online Access:	Inhaltsverzeichnis
Item Description:	Zugl.: München, Univ., Habil.-Schr.
Physical Description:	IX, 280 S. graph. Darst.
ISBN:	3540659544

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Record in the Search Index

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adam_text	TABLE OF CONTENTS 1. INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2. ISSUES, GOALS, AND METHODS OF FLOW LINE ANALYSIS . . . . . . . . . . 3 2.1 VARIABILITY AND THE PERFORMANCE OF FLOW LINES . . . . . . . . . . . . . . . . 3 2.2 NON-LINEARITIES IN THE FLOW OF MATERIAL . . . . . . . . . . . . . . . . . . . . . . . 6 2.2.1 ASSEMBLY AND DISASSEMBLY OPERATIONS . . . . . . . . . . . . . . . . . 6 2.2.2 SPLIT AND MERGE OPERATIONS AND REWORK LOOPS . . . . . . . . . 8 2.3 ECONOMIC DESIGN PROBLEMS IN FLOW LINE ANALYSIS . . . . . . . . . . . . . 10 2.3.1 CASH-FLOW ORIENTED MACHINE SELECTION AND BUER AL- LOCATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.3.2 CASH-FLOW ORIENTED BUER ALLOCATION FOR A GIVEN SET OF MACHINES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 2.4 METHODS OF PERFORMANCE ANALYSIS . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 2.5 TWO-MACHINE DECOMPOSITION OF FLOW LINES . . . . . . . . . . . . . . . . . . . 25 2.6 REVIEW OF THE LITERATURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 3. ASSEMBLY/DISASSEMBLY SYSTEMS WITH RANDOM PROCESSING TIMES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 3.1 DISCRETE AND CONTINUOUS TIME MODELS . . . . . . . . . . . . . . . . . . . . . . . 35 3.2 EXACT SOLUTION OF A TWO-MACHINE SUBSYSTEM . . . . . . . . . . . . . . . . . 38 3.2.1 PERFORMANCE MEASURES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 3.2.2 DERIVATION OF THE TRANSITION EQUATIONS . . . . . . . . . . . . . . . . . 41 3.2.3 IDENTITIES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 3.2.4 DERIVATION OF THE SOLUTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 3.2.5 THE ALGORITHM TO DETERMINE STEADY-STATE PROBABILI- TIES AND PERFORMANCE MEASURES . . . . . . . . . . . . . . . . . . . . . . . . 53 3.2.6 DETERMINATION OF PERFORMANCE MEASURES WITHOUT EX- PLICIT COMPUTATION OF ALL STEADY-STATE PROBABILITIES . . . . 53 3.2.7 NUMERICAL RESULTS FOR THE TWO-MACHINE SYSTEMS . . . . . . . 56 3.3 DECOMPOSITION EQUATIONS FOR ASSEMBLY/DISASSEMBLY SYSTEMS . 60 3.3.1 CONSERVATION OF FLOW EQUATION . . . . . . . . . . . . . . . . . . . . . . . . 60 3.3.2 FLOW RATE-IDLE TIME EQUATIONS . . . . . . . . . . . . . . . . . . . . . . . . 61 3.3.3 RESUMPTION OF FLOW EQUATIONS . . . . . . . . . . . . . . . . . . . . . . . . 64 3.3.4 INTERRUPTION OF FLOW EQUATIONS . . . . . . . . . . . . . . . . . . . . . . . . 66 VIII TABLE OF CONTENTS 3.3.5 SIMULTANEOUS SOLUTION OF THE DECOMPOSITION EQUATIONS . 71 3.3.6 COMPARISON WITH JEONG AND KIM S DECOMPOSITION EQUA- TIONS FOR THE CONTINUOUS TIME CASE . . . . . . . . . . . . . . . . . . . . 72 3.4 TWO ALGORITHMS TO DETERMINE PERFORMANCE MEASURES . . . . . . . . . 74 3.5 NUMERICAL RESULTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 3.5.1 BEHAVIOR OF THE ALGORITHM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 3.5.2 BEHAVIOR OF ASSEMBLY/DISASSEMBLY SYSTEMS . . . . . . . . . . . . 82 3.6 OPTIMAL DESIGN OF ASSEMBLY/DISASSEMBLY SYSTEMS . . . . . . . . . . . . 86 4. FLOW LINES WITH REWORK LOOPS AND IDENTICAL PROCESSING TIMES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 4.1 DISCRETE-MATERIAL FLOW LINE MODEL WITH IDENTICAL DETERMIN- ISTIC PROCESSING TIMES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 4.2 DECOMPOSITION EQUATIONS FOR LOOPS AND IDENTICAL PROCESSING TIMES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 4.2.1 CONSERVATION OF FLOW EQUATION . . . . . . . . . . . . . . . . . . . . . . . . 91 4.2.2 FLOW RATE-IDLE TIME EQUATIONS . . . . . . . . . . . . . . . . . . . . . . . . 92 4.2.3 RESUMPTION OF FLOW EQUATIONS I: SPLIT OPERATIONS . . . . . . 95 4.2.4 RESUMPTION OF FLOW EQUATIONS II: MERGE OPERATIONS . . . 101 4.2.5 BOUNDARY EQUATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 4.2.6 SIMULTANEOUS SOLUTION OF THE DECOMPOSITION EQUATIONS . 105 4.3 THE ALGORITHM TO DETERMINE PERFORMANCE MEASURES . . . . . . . . . . 106 4.3.1 PURPOSE, BACKGROUND, AND BASIC STRUCTURE OF THE AL- GORITHM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 4.3.2 DETERMINATION OF THE EVALUATION SEQUENCE . . . . . . . . . . . . . 107 4.3.3 INITIALIZATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108 4.3.4 ITERATIVE SOLUTION OF THE DECOMPOSITION EQUATIONS . . . . . . 109 4.3.5 GENERAL COMMENTS ON IMPLEMENTATION AND ALGORITHM BEHAVIOR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114 4.4 NUMERICAL RESULTS: ALGORITHM AND FLOW LINE BEHAVIOR . . . . . . . . 114 4.4.1 INTRODUCTION INTO THE NUMERICAL STUDY . . . . . . . . . . . . . . . . . 114 4.4.2 PURE SPLIT STRUCTURES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116 4.4.3 PURE MERGE NETWORKS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 4.4.4 STRUCTURES WITH LOOPS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 4.4.5 SUMMARY OF THE NUMERICAL RESULTS . . . . . . . . . . . . . . . . . . . . 159 4.5 OPTIMAL DESIGN OF SYSTEMS WITH LOOPS AND IDENTICAL PROCESS- ING TIMES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159 4.5.1 IMPACT OF THE ACCEPTANCE PROBABILITY AT THE QUALITY INSPECTION STATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 160 4.5.2 IMPACT OF THE PLACEMENT OF THE INSPECTION STATION . . . . . . 163 5. FLOW LINES WITH REWORK LOOPS AND MACHINE-SPECIC PRO- CESSING TIMES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165 5.1 CONTINUOUS-MATERIAL FLOW LINE MODEL WITH MACHINE-SPECIC PROCESSING TIMES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165 TABLE OF CONTENTS IX 5.2 DECOMPOSITION EQUATIONS FOR LOOPS AND DIERENT PROCESSING TIMES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167 5.2.1 CONSERVATION OF FLOW EQUATION . . . . . . . . . . . . . . . . . . . . . . . . 168 5.2.2 FLOW RATE-IDLE TIME EQUATIONS . . . . . . . . . . . . . . . . . . . . . . . . 168 5.2.3 RESUMPTION OF FLOW EQUATIONS I: SPLIT OPERATIONS . . . . . . 169 5.2.4 RESUMPTION OF FLOW EQUATIONS II: MERGE OPERATIONS . . . 173 5.2.5 INTERRUPTION OF FLOW EQUATIONS I: SPLIT OPERATIONS . . . . . 176 5.2.6 INTERRUPTION OF FLOW EQUATIONS II: MERGE OPERATIONS . . . 177 5.2.7 SIMULTANEOUS SOLUTION OF THE DECOMPOSITION EQUATIONS . 180 5.3 THE ALGORITHM TO DETERMINE PERFORMANCE MEASURES . . . . . . . . . . 181 5.4 NUMERICAL RESULTS: ALGORITHM AND FLOW LINE BEHAVIOR . . . . . . . . 183 5.5 OPTIMAL DESIGN OF SYSTEMS WITH LOOPS AND DIERENT PROCESS- ING TIMES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 190 6. CONCLUSIONS AND SUGGESTIONS FOR FURTHER RESEARCH . . . . . . . . . 195 A. DERIVATION FOR THE DISCRETE MATERIAL FLOW LINE . . . . . . . . . . . . . 199 A.1 RESUMPTION OF FLOW EQUATIONS: SPLIT SYSTEM . . . . . . . . . . . . . . . . . 199 A.1.1 UPSTREAM MACHINE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199 A.1.2 DOWNSTREAM MACHINE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 211 A.2 RESUMPTION OF FLOW EQUATIONS: MERGE SYSTEM . . . . . . . . . . . . . . . 213 A.2.1 UPSTREAM MACHINE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213 A.2.2 DOWNSTREAM MACHINE IN THE PRIORITY TWO LINE . . . . . . . . . 215 B. DERIVATION FOR THE CONTINUOUS MATERIAL FLOW LINE . . . . . . . . . 225 B.1 RESUMPTION OF FLOW EQUATIONS: SPLIT SYSTEM . . . . . . . . . . . . . . . . . 225 B.1.1 UPSTREAM MACHINE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 225 B.1.2 DOWNSTREAM MACHINE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 228 B.2 RESUMPTION OF FLOW EQUATIONS: MERGE SYSTEM . . . . . . . . . . . . . . . 230 B.2.1 UPSTREAM MACHINE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 230 B.2.2 DOWNSTREAM MACHINE IN THE PRIORITY TWO LINE . . . . . . . . . 231 B.3 INTERRUPTION OF FLOW EQUATIONS: UPSTREAM MACHINE OF A SPLIT SYSTEM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 246 B.4 INTERRUPTION OF FLOW EQUATIONS: MERGE SYSTEM . . . . . . . . . . . . . . . 254 B.4.1 UPSTREAM MACHINE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 254 B.4.2 DOWNSTREAM MACHINE OF THE PRIORITY TWO LINE . . . . . . . . . 264 GLOSSARY OF NOTATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 273 BIBLIOGRAPHY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 275
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author	Helber, Stefan 1963-
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discipline	Mathematik Wirtschaftswissenschaften
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genre	(DE-588)4113937-9 Hochschulschrift gnd-content
genre_facet	Hochschulschrift
id	DE-604.BV012640277
illustrated	Illustrated
indexdate	2024-07-09T18:31:07Z
institution	BVB
isbn	3540659544
language	German
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-008588340
oclc_num	41315379
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owner	DE-739 DE-384 DE-91G DE-BY-TUM DE-521 DE-83 DE-355 DE-BY-UBR
owner_facet	DE-739 DE-384 DE-91G DE-BY-TUM DE-521 DE-83 DE-355 DE-BY-UBR
physical	IX, 280 S. graph. Darst.
publishDate	1999
publishDateSearch	1999
publishDateSort	1999
publisher	Springer
record_format	marc
series	Lecture notes in economics and mathematical systems
series2	Lecture notes in economics and mathematical systems
spelling	Helber, Stefan 1963- Verfasser (DE-588)121396584 aut Performance analysis of flow lines with non-linear flow of material Stefan Helber Berlin u.a. Springer 1999 IX, 280 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in economics and mathematical systems 473 Zugl.: München, Univ., Habil.-Schr. Logistique (organisation) - Modèles mathématiques ram Niet-lineaire modellen gtt Prestatiebeoordeling gtt Productiemanagement gtt Productieplanning gtt Production - Gestion - Modèles mathématiques ram Stochastische analyse gtt Wiskundige modellen gtt Mathematisches Modell Production engineering Mathematical models Production management Mathematical models Stochastic analysis Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Reihenfolgeproblem (DE-588)4242167-6 gnd rswk-swf Kapazitätsbelegungsplanung (DE-588)4261342-5 gnd rswk-swf Fließfertigung (DE-588)4154634-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Fließfertigung (DE-588)4154634-9 s Kapazitätsbelegungsplanung (DE-588)4261342-5 s Reihenfolgeproblem (DE-588)4242167-6 s Stochastischer Prozess (DE-588)4057630-9 s DE-604 Lecture notes in economics and mathematical systems 473 (DE-604)BV000000036 473 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008588340&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Helber, Stefan 1963- Performance analysis of flow lines with non-linear flow of material Lecture notes in economics and mathematical systems Logistique (organisation) - Modèles mathématiques ram Niet-lineaire modellen gtt Prestatiebeoordeling gtt Productiemanagement gtt Productieplanning gtt Production - Gestion - Modèles mathématiques ram Stochastische analyse gtt Wiskundige modellen gtt Mathematisches Modell Production engineering Mathematical models Production management Mathematical models Stochastic analysis Stochastischer Prozess (DE-588)4057630-9 gnd Reihenfolgeproblem (DE-588)4242167-6 gnd Kapazitätsbelegungsplanung (DE-588)4261342-5 gnd Fließfertigung (DE-588)4154634-9 gnd
subject_GND	(DE-588)4057630-9 (DE-588)4242167-6 (DE-588)4261342-5 (DE-588)4154634-9 (DE-588)4113937-9
title	Performance analysis of flow lines with non-linear flow of material
title_auth	Performance analysis of flow lines with non-linear flow of material
title_exact_search	Performance analysis of flow lines with non-linear flow of material
title_full	Performance analysis of flow lines with non-linear flow of material Stefan Helber
title_fullStr	Performance analysis of flow lines with non-linear flow of material Stefan Helber
title_full_unstemmed	Performance analysis of flow lines with non-linear flow of material Stefan Helber
title_short	Performance analysis of flow lines with non-linear flow of material
title_sort	performance analysis of flow lines with non linear flow of material
topic	Logistique (organisation) - Modèles mathématiques ram Niet-lineaire modellen gtt Prestatiebeoordeling gtt Productiemanagement gtt Productieplanning gtt Production - Gestion - Modèles mathématiques ram Stochastische analyse gtt Wiskundige modellen gtt Mathematisches Modell Production engineering Mathematical models Production management Mathematical models Stochastic analysis Stochastischer Prozess (DE-588)4057630-9 gnd Reihenfolgeproblem (DE-588)4242167-6 gnd Kapazitätsbelegungsplanung (DE-588)4261342-5 gnd Fließfertigung (DE-588)4154634-9 gnd
topic_facet	Logistique (organisation) - Modèles mathématiques Niet-lineaire modellen Prestatiebeoordeling Productiemanagement Productieplanning Production - Gestion - Modèles mathématiques Stochastische analyse Wiskundige modellen Mathematisches Modell Production engineering Mathematical models Production management Mathematical models Stochastic analysis Stochastischer Prozess Reihenfolgeproblem Kapazitätsbelegungsplanung Fließfertigung Hochschulschrift
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008588340&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000000036
work_keys_str_mv	AT helberstefan performanceanalysisofflowlineswithnonlinearflowofmaterial

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