Analysis and Design of Discrete Part Production Lines (eBook)

Preface 7
Contents 11
List of Figures 15
List of Tables 18
1 Manufacturing Systems: Types and Modeling 20
1.1 Manufacturing Systems: Evolution and Classification 20
1.2 Models and Modeling 31
1.3 Classification of Manufacturing Systems 33
1.4 Models of Manufacturing Systems 35
1.5 Methods of Analysis 37
1.6 Measures of Performance 39
1.7 Related Bibliography 41
References 41
2 Evaluative Models of Discrete Part Production Lines 43
2.1 Markovian Model 45
2.2 Decomposition Approach 69
2.3 The Expansion Method 77
2.4 The Aggregation Method 82
2.5 Modeling of Production Lines with Parallel Reliable Machines at Each Station 85
2.6 Simulation Modeling 103
2.7 General Comment 106
2.8 Related Bibliography 106
References 112
3 The Design of Production Lines 118
3.1 Introduction 118
3.2 Role of the Design Engineer 123
3.3 Improvability 124
References 127
4 Work-Load and Server Allocation Problems 129
4.1 The Work-Load Allocation Problem 129
4.2 The Server Allocation Problem 136
4.3 The Simultaneous Work-Load and Server Allocation:The L-phenomenon 138
4.4 Related Bibliography 140
References 142
5 The Buffer Allocation Problem 146
5.1 Formulation of the Buffer Allocation Problems 146
5.2 Solution of the Buffer Allocation Problems 147
5.3 Solution Approaches to the BAP in Short Lines 149
5.4 Solution Approaches to the BAP in Longer Lines 160
5.5 Related Bibliography 170
References 171
6 Double and Triple Optimization 175
6.1 Simultaneous Allocation ofWork and Buffers, W+ B 177
6.2 Simultaneous Allocation of Servers and Buffers, S+ B 178
6.3 Simultaneous Allocation ofWork, Servers and Buffers, W+ S+ B 179
6.4 Concluding Remarks 189
6.5 Related Bibliography 189
References 190
7 Cost Considerations 192
7.1 Cost Models: Profit Maximization 195
7.2 Cost Models: Cost Minimization 203
References 207
A Mathematical Fundamentals 209
A.1 Vectors and Matrices 209
A.2 Probability 215
A.3 Discrete Markov Processes (Markov Chains) 228
A.4 Data Plotting 231
A.5 Well-Known Results of Queueing Theory 232
References 242
B Algorithms/Procedures Details and Guide to Use 244
B.1 Markovian 245
B.2 Decomposition-1 245
B.3 Expansion 245
B.4 Aggregation 246
B.5 Decomposition-2 246
B.6 Two-LevelWork-Load Allocation 247
B.7 Simulated Annealing 247
B.8 Genetic Algorithm 247
B.9 Complete Enumeration 248
B.10 Buffer Allocation 248
References 248
C Glossary 250
C.1 General Acronyms 250
C.2 Production Lines 251
C.3 Decomposition Approach 252
C.4 Markovian Model 253
C.5 Expansion Method 253
C.6 Aggregation Method 254
C.7 Design Problems 254
C.8 Cost Considerations 255
C.9 Mathematical Fundamentals 256
C.10 Accompanying Algorithms and Procedures 257
D Conference Participants: Presenters and Attendees 258
D.1 Conference Participants: Presenters 258
D.2 Conference Participants: Attendees 262
E Simulation Model of a Reliable Production Line 267
E.1 Description of the Production Line 267
E.2 The Model of the System 267
References 279
Subject Index 280
Author Index 286