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1 Basic Probability Review |
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1 | (44) |
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1 | (3) |
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1.2 Random Variables and Distribution Functions |
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4 | (6) |
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10 | (3) |
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1.4 Important Distributions |
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13 | (11) |
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1.5 Multivariate Distributions |
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24 | (8) |
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1.6 Combinations of Random Variables |
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32 | (4) |
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1.6.1 Fixed Sum of Random Variables |
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32 | (1) |
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1.6.2 Random Sum of Random Variables |
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33 | (2) |
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1.6.3 Mixtures of Random Variables |
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35 | (1) |
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36 | (1) |
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37 | (7) |
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44 | (1) |
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2 Introduction to Factory Models |
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45 | (24) |
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45 | (9) |
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2.1.1 Notation, Definitions and Diagrams |
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46 | (3) |
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2.1.2 Measured Data and System Parameters |
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49 | (5) |
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2.2 Introduction to Factory Performance |
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54 | (6) |
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2.2.1 The Modeling Method |
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55 | (3) |
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58 | (1) |
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59 | (1) |
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2.3 Deterministic vs Stochastic Models |
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60 | (2) |
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62 | (3) |
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65 | (2) |
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67 | (2) |
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3 Single Workstation Factory Models |
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69 | (40) |
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69 | (4) |
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3.2 Diagram Method for Developing the Balance Equations |
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73 | (3) |
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3.3 Model Shorthand Notation |
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76 | (1) |
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3.4 An Infinite Capacity Model (M/M/1) |
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77 | (4) |
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3.5 Multiple Server Systems with Non-identical Service Rates |
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81 | (4) |
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3.6 Using Exponentials to Approximate General Times |
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85 | (5) |
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3.6.1 Erlang Processing Times |
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85 | (2) |
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3.6.2 Erlang Inter-Arrival Times |
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87 | (2) |
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3.6.3 Phased Inter-arrival and Processing Times |
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89 | (1) |
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3.7 Single Server Model Approximations |
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90 | (7) |
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3.7.1 General Service Distributions |
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91 | (2) |
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3.7.2 Approximations for G/G/1 Systems |
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93 | (2) |
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3.7.3 Approximations for G/G/c Systems |
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95 | (2) |
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97 | (3) |
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100 | (7) |
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107 | (2) |
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4 Processing Time Variability |
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109 | (16) |
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4.1 Natural Processing Time Variability |
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111 | (2) |
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4.2 Random Breakdowns and Repairs During Processing |
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113 | (2) |
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4.3 Operator-Machine Interactions |
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115 | (6) |
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121 | (2) |
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123 | (2) |
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5 Multiple-Stage Single-Product Factory Models |
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125 | (34) |
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5.1 Approximating the Departure Process from a Workstation |
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125 | (3) |
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5.2 Serial Systems Decomposition |
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128 | (5) |
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5.3 Nonserial Network Models |
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133 | (5) |
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5.3.1 Merging Inflow Streams |
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133 | (2) |
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5.3.2 Random Splitting of the Departure Stream |
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135 | (3) |
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5.4 The General Network Approximation Model |
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138 | (12) |
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5.4.1 Computing Workstation Mean Arrival Rates |
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139 | (2) |
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5.4.2 Computing Squared Coefficients of Variation for Arrivals |
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141 | (9) |
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150 | (2) |
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152 | (5) |
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157 | (2) |
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6 Multiple Product Factory Models |
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159 | (38) |
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160 | (2) |
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6.2 Workstation Workloads |
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162 | (1) |
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6.3 Service Time Characteristics |
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163 | (1) |
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6.4 Workstation Performance Measures |
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164 | (3) |
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6.5 Processing Step Modeling Paradigm |
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167 | (10) |
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6.5.1 Service Time Characteristics |
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170 | (2) |
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6.5.2 Performance Measures |
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172 | (2) |
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6.5.3 Alternate Approaches |
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174 | (3) |
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6.6 Group Technology and Cellular Manufacturing |
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177 | (7) |
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184 | (12) |
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196 | (1) |
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7 Models of Various Forms of Batching |
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197 | (44) |
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198 | (8) |
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199 | (2) |
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7.1.2 Batch Queue Cycle Time |
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201 | (1) |
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7.1.3 Batch Move Processing Time Delays |
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202 | (2) |
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7.1.4 Inter-departure Time SCV with Batch Move Arrivals |
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204 | (2) |
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7.2 Batching for Setup Reduction |
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206 | (3) |
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7.2.1 Inter-departure Time SCV with Batch Setups |
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209 | (1) |
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209 | (4) |
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7.3.1 Cycle Time for Batch Service |
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210 | (1) |
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7.3.2 Departure Process for Batch Service |
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211 | (2) |
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7.4 Modeling the Workstation Following a Batch Server |
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213 | (9) |
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7.4.1 A Serial System Topology |
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213 | (1) |
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7.4.2 Branching Following a Batch Server |
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214 | (8) |
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7.5 Batch Network Examples |
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222 | (8) |
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7.5.1 Batch Network Example 1 |
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222 | (4) |
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7.5.2 Batch Network Example 2 |
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226 | (4) |
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230 | (10) |
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240 | (1) |
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8 WIP Limiting Control Strategies |
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241 | (40) |
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8.1 Closed Queueing Networks for Single Products |
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242 | (13) |
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8.1.1 Analysis with Exponential Processing Times |
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245 | (7) |
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8.1.2 Analysis with General Processing Times |
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252 | (3) |
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8.2 Closed Queueing Networks with Multiple Products |
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255 | (12) |
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8.2.1 Mean Value Analysis for Multiple Products |
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256 | (4) |
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8.2.2 Mean Value Analysis Approximation for Multiple Products |
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260 | (2) |
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8.2.3 General Service Time Approximation for Multiple Products |
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262 | (5) |
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8.3 Production and Sequencing Strategies |
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267 | (5) |
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268 | (1) |
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8.3.2 Push Strategy Model |
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269 | (2) |
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8.3.3 CONWIP Strategy Model |
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271 | (1) |
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272 | (1) |
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273 | (6) |
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279 | (2) |
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9 Serial Limited Buffer Models |
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281 | (40) |
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9.1 The Decomposition Approach Used for Kanban Systems |
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282 | (2) |
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9.2 Modeling the Two-Node Subsystem |
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284 | (9) |
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9.2.1 Modeling the Service Distribution |
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285 | (3) |
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9.2.2 Structure of the State-Space |
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288 | (2) |
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9.2.3 Generator Matrix Relating System Probabilities |
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290 | (1) |
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9.2.4 Connecting the Subsystems |
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291 | (2) |
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9.3 Example of a Kanban Serial System |
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293 | (17) |
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9.3.1 The First Forward Pass |
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294 | (6) |
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300 | (7) |
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9.3.3 The Remaining Iterations |
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307 | (1) |
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9.3.4 Convergence and Factory Performance Measures |
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308 | (2) |
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310 | (1) |
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9.4 Setting Kanban Limits |
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310 | (7) |
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9.4.1 Allocating a Fixed Number of Buffer Units |
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311 | (4) |
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9.4.2 Cycle Time Restriction |
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315 | (1) |
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9.4.3 Serial Factory Results |
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316 | (1) |
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317 | (3) |
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320 | (1) |
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321 | (10) |
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321 | (2) |
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A.2 Event-Driven Simulations |
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323 | (7) |
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330 | (1) |
Glossary |
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331 | (4) |
Index |
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335 | |