Mathematical tools in production management
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| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Plenum Pr.
1990
|
| Schriftenreihe: | Competitive methods in operations research and data analysis
|
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| Online-Zugang: | Inhaltsverzeichnis |
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| 245 | 1 | 0 | |a Mathematical tools in production management |c J. M. Proth and H. P. Hillion |
| 264 | 1 | |a New York u.a. |b Plenum Pr. |c 1990 | |
| 300 | |a XIV, 391 S. |b graph. Darst. | ||
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| 490 | 0 | |a Competitive methods in operations research and data analysis | |
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| 650 | 7 | |a programmation dynamique |2 inriac | |
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| 650 | 7 | |a théorie file attente |2 inriac | |
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| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Production management |x Mathematics | |
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Datensatz im Suchindex
| _version_ | 1819724954450526208 |
|---|---|
| adam_text | Contents
Chapter 1
New Trends in Manufacturing Systems
and Their Consequences 1
1.1. Main Changes in the Manufacturing Environment 1
1.1.1. The Market 1
1.1.2. Physical Resources 2
1.1.3. Human Resources 4
1.2. Toward Flexibility, Modularity, and Integration 4
1.3. Flexible Manufacturing Systems (FMSs) 6
1.3.1. Definition of Flexible Manufacturing Systems 6
1.3.2. Limits of Flexible Manufacturing Systems 8
1.3.3. Some Examples of Flexible Manufacturing Systems 9
1.4. Evaluation Criteria of Modern Production Systems 13
1.4.1. The Financial Evaluation 14
1.4.2. Criteria for Technical Evaluation 23
1.5. Evaluation Tools for Modern Production Systems 24
1.5.1. The Steps of Evaluation 25
1.5.2. The Various Evaluation Approaches 25
1.5.3. Simulation of Production Systems 26
1.5.4. Mathematical Approaches for the Analysis of
Production Systems. 31
ix
x Contents
1.5.5. A Comparison between Simulation and
Mathematical Models 36
1.6. Production System Life Cycle 42
Chapter 2
Preliminary Design of Production Systems 45
2.1. Static Study 46
2.1.1. Choice of the Resources 46
2.1.2. Layout Design 46
2.2. Dynamic Study 46
2.2.1. Management System versus Integration Level 47
2.2.2. MRP II, JIT, and OPT 48
2.2.3. The Hierarchical Production Management System
(HPMS) 52
Chapter 3
Linear Programming 65
3.1. Linear Programming Formulations 65
3.1.1. Formulations 65
3.1.2. Graphical Representation 68
3.1.3. Remarks 69
3.2. LP Problems in Production Management 71
3.2.1. The Transportation Problem 71
3.2.2. The Assignment Problem 72
3.2.3. Using Resources in a Job Shop 72
3.2.4. A Planning Problem 76
3.2.5. The Blending Problem 80
3.2.6. Cutting Problem 86
3.3. Conclusion 88
Chapter 4
Dynamic Programming 89
4.1. Dynamic Programming Formulation 89
4.1.1. Optimality Principle 89
4.1.2. General DP Problem Formulation 90
4.1.3. DP Solving Processes 92
4.2. Dynamic Inventory Planning Problem 97
4.2.1. Monoproduct Problem 97
4.2.2. Multiproduct Problem 110
Contents xi
4.3. Task Scheduling 116
4.3.1. Stating the PERT Problem 117
4.3.2. Graphic Representation 118
4.3.3. Computation of Activity Completion Times in PERT 119
4.3.4. Computation of the Optimal Solution 120
Chapter 5
Branch and Bound Techniques 123
5.1. Branch and Bound Techniques 123
5.1.1. Assumptions 123
5.1.2. Basis of the Branch and Bound Techniques 125
5.1.3. Upper Bound of the Optimal Value of the
Objective Function 127
5.1.4. Lower Bounds of the Objective Function
within Overlapping Subsets 129
5.1.5. Computation of the Overlapping Subsets 132
5.1.6. Branch Rules 134
5.1.7. Branch and Bound for Maximizing an
Objective Function 136
5.2. Algorithms and Examples 136
5.2.1. Branch and Bound Algorithm for Solving
0 1 LP Problem 137
5.2.2. Branch and Bound Algorithm for Solving
Integer LP Problem 142
5.2.3. Branch and Bound Algorithm for Solving
the Traveling Salesman Problem 145
5.3. Conclusion 146
Chapter 6
Markov Chains 147
6.1. Formal Definition of a Discrete Parameter Markov Chain 147
6.2. Chapman Kolmogorov Equations 148
6.3. Classification of States 152
6.4. Decomposition of the State Space 155
6.5. Long Run Properties of Irreducible Markov Chains 158
6.6. Application 163
6.7. Continuous Parameter Markov Chains 166
6.8. Long Run Properties of Continuous Parameter
Markov Chains 173
6.9. Birth and Death Processes 175
6.10. Pure Birth Processes 179
xii Contents
Chapter 7
Queueing Theory 181
7.1. Structure of Queueing Models 181
7.1.1. Basic Elements 181
7.1.2. Service Mechanism 182
7.1.3. Parameters of Queueing Models 183
7.2. Terminology and Notation 184
7.3. Elementary Queueing Models 185
7.3.1. Queue M/M/l 186
7.3.2. Queue M/M/l/K 189
7.3.3. Queue M/M/s 192
7.3.4. Concluding Remarks 195
7.4. Queueing Networks 196
7.4.1. Open Queueing Network (OQN) 197
7.4.2. Closed Queueing Network (CQN) 201
7.5. Model Applicability 208
7.5.1. Extensions of the QN Model 208
7.5.2. Scope of Applicability 213
7.5.3. Conclusion 214
Chapter 8
Petri Nets 217
8.1. Petri Net Theory 218
8.1.1. Basic Terminology of Petri Nets 218
8.1.2. Fundamental Properties 221
8.1.3. Timed Petri Nets 222
8.1.4. Event Graphs 223
8.2. Petri Net Model of the Job Shop 227
8.2.1. Characteristics of the Model 227
8.2.2. Operative Part 229
8.2.3. Control Part 230
8.3. Performance Evaluation 231
8.3.1. Computation of the Cycle Time 231
8.3.2. Performance Improvement 233
8.3.3. Comparison with the CQN Model 235
8.4. Optimal Control of the Job Shop 237
8.4.1. Maximum Productivity 237
8.4.2. Minimizing the Number of Pallets 239
8.4.3. Optimal Machine Sequencings 244
Contents xiii
8.5. Model Applicability 252
8.5.1. Scope of Applicability 252
8.5.2. Stochastic Petri Nets 253
8.5.3. Colored Petri Nets 254
Chapter 9
Graph Theory 255
9.1. Basic Terminology and Notation 255
9.2. The Shortest Path Problem 256
9.2.1. Problem Formulation and Solution 256
9.2.2. PERT CPM 262
9.2.3. Inventory Management Problem 265
9.3. The Maximal Flow Problem 268
9.3.1. Problem Definition 268
9.3.2. Applications 275
9.4. Conclusion 290
Chapter 10
Data Analysis 291
10.1. Definitions, Notation, and Basic Concepts 292
10.1.1. Observations 292
10.1.2. Links between Characteristics 295
10.2. Main Component Analysis (MCA) 303
10.2.1. Introduction to Main Component Analysis 303
10.2.2. Mathematical Approach 305
10.2.3. Use of MCA 306
10.3. Clustering Analysis 306
10.3.1. AT Mean Analysis 307
10.3.2. Hierarchical Clustering Analysis 318
10.3.3. Cross Decomposition Methods 328
10.4. Conclusion 361
Chapter 11
Mathematical Analysis of Automated Systems:
Two Examples 363
11.1. Mathematical Modeling and Analysis 363
11.2. Transfer Line with Unreliable Machines and
Transportation System 364
11.2.1. Stating the Problem 364
xiv Contents
11.2.2. The Model 364
11.2.3. Productivity versus Number of Pallets 365
11.2.4. Evaluation 368
11.3. Closed Loop Conveyor System 368
11.3.1. Stating the Problem 368
11.3.2. The Model 370
11.3.3. Evaluation 374
11.4. Conclusion 375
References 377
Index 387
|
| any_adam_object | 1 |
| author | Proth, Jean-Marie Hillion, Herve P. |
| author_facet | Proth, Jean-Marie Hillion, Herve P. |
| author_role | aut aut |
| author_sort | Proth, Jean-Marie |
| author_variant | j m p jmp h p h hp hph |
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| callnumber-first | T - Technology |
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| callnumber-subject | TS - Manufactures |
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| dewey-full | 658.5/015/1 658.5/0015/1 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 658 - General management |
| dewey-raw | 658.5/015/1 658.5/0015/1 |
| dewey-search | 658.5/015/1 658.5/0015/1 |
| dewey-sort | 3658.5 215 11 |
| dewey-tens | 650 - Management and auxiliary services |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV004282698 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T11:11:09Z |
| institution | BVB |
| isbn | 0306433583 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002663440 |
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| open_access_boolean | |
| owner | DE-384 DE-703 DE-188 |
| owner_facet | DE-384 DE-703 DE-188 |
| physical | XIV, 391 S. graph. Darst. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Plenum Pr. |
| record_format | marc |
| series2 | Competitive methods in operations research and data analysis |
| spellingShingle | Proth, Jean-Marie Hillion, Herve P. Mathematical tools in production management Administracao da producao larpcal Matematica larpcal Production - Gestion - Mathématiques ram analyse donnée inriac atelier flexible inriac chaîne Markov inriac gestion production inriac méthode branch and bound inriac productique inriac programmation dynamique inriac programmation linéaire inriac réseau Petri inriac théorie file attente inriac théorie graphe inriac Mathematik Production management Mathematics Management (DE-588)4037278-9 gnd Fertigungsorganisation (DE-588)4140651-5 gnd Produktion (DE-588)4047347-8 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| subject_GND | (DE-588)4037278-9 (DE-588)4140651-5 (DE-588)4047347-8 (DE-588)4155620-3 |
| title | Mathematical tools in production management |
| title_auth | Mathematical tools in production management |
| title_exact_search | Mathematical tools in production management |
| title_full | Mathematical tools in production management J. M. Proth and H. P. Hillion |
| title_fullStr | Mathematical tools in production management J. M. Proth and H. P. Hillion |
| title_full_unstemmed | Mathematical tools in production management J. M. Proth and H. P. Hillion |
| title_short | Mathematical tools in production management |
| title_sort | mathematical tools in production management |
| topic | Administracao da producao larpcal Matematica larpcal Production - Gestion - Mathématiques ram analyse donnée inriac atelier flexible inriac chaîne Markov inriac gestion production inriac méthode branch and bound inriac productique inriac programmation dynamique inriac programmation linéaire inriac réseau Petri inriac théorie file attente inriac théorie graphe inriac Mathematik Production management Mathematics Management (DE-588)4037278-9 gnd Fertigungsorganisation (DE-588)4140651-5 gnd Produktion (DE-588)4047347-8 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| topic_facet | Administracao da producao Matematica Production - Gestion - Mathématiques analyse donnée atelier flexible chaîne Markov gestion production méthode branch and bound productique programmation dynamique programmation linéaire réseau Petri théorie file attente théorie graphe Mathematik Production management Mathematics Management Fertigungsorganisation Produktion Mathematische Methode |
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