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Performance Analysis of Flow Lines with Non-Linear Flow of Material : Lecture Notes in Economic and Mathematical Systems - Stefan Helber

Performance Analysis of Flow Lines with Non-Linear Flow of Material

Lecture Notes in Economic and Mathematical Systems

Paperback ISBN: 9783540659549
Number Of Pages: 280

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Flow line design is one of the major tasks in production management. The decision to install a set of machines and buffers is often highly irreversible. It determines both cost and revenue to a large extent. In order to assess the economic impact of any possible flow line design, production rates and inventory levels have to be estimated. These performance measures depend on the allocation of buffers whenever the flow of material is occasionally disrupted, for example due to machine failures or quality problems. The book describes analytical methods that can be used to evaluate flow lines much faster than with simulation techniques. Based on these fast analytical techniques, it is possible to determine a flow line design that maximizes the net present value of the flow line investment. The flow of material through the line may be non-linear, for example due to assembly operations or quality inspections.

Introductionp. 1
Issues, Goals, and Methods of Flow Line Analysisp. 3
Variability and the Performance of Flow Linesp. 3
Non-Linearities in the Flow of Materialp. 6
Assembly and Disassembly Operationsp. 6
Split and Merge Operations and Rework Loopsp. 8
Economic Design Problems in Flow Line Analysisp. 10
Cash-Flow Oriented Machine Selection and Buffer Al- locationp. 11
Cash-Flow Oriented Buffer Allocation for a Given Set of Machinesp. 20
Methods of Performance Analysisp. 22
Two-Machine Decomposition of Flow Linesp. 25
Review of the Literaturep. 27
Assembly/Disassembly Systems with Random Processing Timesp. 35
Discrete and Continuous Time Modelsp. 35
Exact Solution of a Two-Machine Subsystemp. 38
Performance Measuresp. 40
Derivation of the Transition Equationsp. 41
Identitiesp. 46
Derivation of the Solutionp. 47
The Algorithm to Determine Steady-State Probabili- ties and Performance Measuresp. 53
Determination of Performance Measures without Ex- plicit Computation of all Steady-State Probabilitiesp. 53
Numerical Results for the Two-Machine Systemsp. 56
Decomposition Equations for Assembly/Disassembly Systemsp. 60
Conservation of Flow Equationp. 60
Flow Rate-Idle Time Equationsp. 61
Resumption of Flow Equationsp. 64
Interruption of Flow Equationsp. 66
Simultaneous Solution of the Decomposition Equationsp. 71
Comparison with Jeong and Kim's Decomposition Equa- tions for the Continuous Time Casep. 72
Two Algorithms to Determine Performance Measuresp. 74
Numerical Resultsp. 76
Behavior of the Algorithmp. 76
Behavior of Assembly/Disassembly Systemsp. 82
Optimal Design of Assembly/Disassembly Systemsp. 86
Flow Lines with Rework Loops and Identical Processing Timesp. 89
Discrete-Material Flow Line Model with Identical Determin- istic Processing Timesp. 89
Decomposition Equations for Loops and Identical Processing Timesp. 91
Conservation of Flow Equationp. 91
Flow Rate-Idle Time Equationsp. 92
Resumption of Flow Equations I: Split Operationsp. 95
Resumption of Flow Equations II: Merge Operationsp. 101
Boundary Equationsp. 105
Simultaneous Solution of the Decomposition Equationsp. 105
The Algorithm to Determine Performance Measuresp. 106
Purpose, Background, and Basic Structure of the Al- gorithmp. 106
Determination of the Evaluation Sequencep. 107
Initializationp. 108
Iterative Solution of the Decomposition Equationsp. 109
General Comments on Implementation and Algorithm Behaviorp. 114
Numerical Results: Algorithm and Flow Line Behaviorp. 114
Introduction into the Numerical Studyp. 114
Pure Split Structuresp. 116
Pure Merge Networksp. 126
Structures with Loopsp. 134
Summary of the Numerical Resultsp. 159
Optimal Design of Systems with Loops and Identical Process- ing Timesp. 159
Impact of the Acceptance Probability at the Quality Inspection Stationp. 160
Impact of the Placement of the Inspection Stationp. 163
Flow Lines with Rework Loops and Machine-Specific Pro- cessing Timesp. 165
Continuous-Material Flow Line Model with Machine-Specific Processing Timesp. 165
Decomposition Equations for Loops and Different Processing Timesp. 167
Conservation of Flow Equationp. 168
Flow Rate-Idle Time Equationsp. 168
Resumption of Flow Equations I: Split Operationsp. 169
Resumption of Flow Equations II: Merge Operationsp. 173
Interruption of Flow Equations I: Split Operationsp. 176
Interruption of Flow Equations II: Merge Operationsp. 177
Simultaneous Solution of the Decomposition Equationsp. 180
The Algorithm to Determine Performance Measuresp. 181
Numerical Results: Algorithm and Flow Line Behaviorp. 183
Optimal Design of Systems with Loops and Different Process- ing Timesp. 190
Conclusions and Suggestions for Further Researchp. 195
Derivation for the Discrete Material Flow Linep. 199
Resumption of Flow Equations: Split Systemp. 199
Upstream Machinep. 199
Downstream Machinep. 211
Resumption of Flow Equations: Merge Systemp. 213
Upstream Machinep. 213
Downstream Machine in the Priority Two Linep. 215
Derivation for the Continuous Material Flow Linep. 225
Resumption of Flow Equations: Split Systemp. 225
Upstream Machinep. 225
Downstream Machinep. 228
Resumption of Flow Equations: Merge Systemp. 230
Upstream Machinep. 230
Downstream Machine in the Priority Two Linep. 231
Interruption of Flow Equations: Upstream Machine of a Split Systemp. 246
Interruption of Flow Equations: Merge Systemp. 254
Upstream Machinep. 254
Downstream Machine of the Priority Two Linep. 264
Glossary of Notationp. 273
Bibliographyp. 275
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540659549
ISBN-10: 3540659544
Series: Lecture Notes in Economic and Mathematical Systems
Audience: General
Format: Paperback
Language: English
Number Of Pages: 280
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.55
Weight (kg): 0.41

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