Mathematical Tools in Production Management
Published on 6. July 2012
Book
Paperback/Softback
XIV, 391 pages
978-1-4615-9560-1 (ISBN)
Description
The authors of this book have been in charge of over thirty industrial contracts of various length (from six months to three years); the companies involved covered a wide range of industrial activities, including steel making, hot and cold rolling, aerospace research, automobile manufactur ing, chemical manufacturing, coal mining, bronze casting, and mechanical engineering. All contracts were related to problems connected either with the preliminary design of production systems or with the management of these systems. The problems that the authors investigated involved not only designing and scheduling, but also the modeling, analysis, and evalua tion of production systems. The book is based to a large extent on the experience gained in working on these contracts and the mathematical procedures presented are those that have been applied during the course of work on at least one of the contracts. Moreover, the authors have always kept in mind an idea which seems pivotal in the world of industry: the difficulty in companies lies much more in determining the exact nature of a problem and defining the criteria to be taken into account, than in solving the problem itself.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1990
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
XIV, 391 p.
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 23 mm
Weight
589 gr
ISBN-13
978-1-4615-9560-1 (9781461595601)
DOI
10.1007/978-1-4615-9558-8
Schweitzer Classification
Other editions
Additional editions
J-. M. Proth | Herve P. Hillion
Mathematical Tools in Production Management
Book
06/1990
Kluwer Academic / Plenum Publishers
€109.13
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Content
1 New Trends in Manufacturing Systems and Their Consequences.- 1.1. Main Changes in the Manufacturing Environment.- 1.2. Toward Flexibility, Modularity, and Integration.- 1.3. Flexible Manufacturing Systems (FMSs).- 1.4. Evaluation Criteria of Modern Production Systems.- 1.5. Evaluation Tools for Modern Production Systems.- 1.6. Production System Life Cycle.- 2 Preliminary Design of Production Systems.- 2.1. Static Study.- 2.2. Dynamic Study.- 3 Linear Programming.- 3.1. Linear Programming Formulations.- 3.2. LP Problems in Production Management.- 3.3. Conclusion.- 4 Dynamic Programming.- 4.1. Dynamic Programming Formulation.- 4.2. Dynamic Inventory Planning Problem.- 4.3. Task Scheduling.- 4.3.1. Stating the PERT Problem.- 4.3.2. Graphic Representation.- 4.3.3. Computation of Activity Completion Times in PERT.- 4.3.4. Computation of the Optimal Solution.- 5 Branch-and-Bound Techniques.- 5.1. Branch-and-Bound Techniques.- 5.2. Algorithms and Examples.- 5.3. Conclusion.- 6 Markov Chains.- 6.1. Formal Definition of a Discrete Parameter Markov Chain.- 6.2. Chapman-Kolmogorov Equations.- 6.3. Classification of States.- 6.4. Decomposition of the State-Space.- 6.5. Long-Run Properties of Irreducible Markov Chains.- 6.6. Application.- 6.7. Continuous Parameter Markov Chains.- 6.8. Long-Run Properties of Continuous Parameter Markov Chains.- 6.9. Birth and Death Processes.- 6.10. Pure Birth Processes.- 7 Queueing Theory.- 7.1. Structure of Queueing Models.- 7.2. Terminology and Notation.- 7.3. Elementary Queueing Models.- 7.4. Queueing Networks.- 7.5. Model Applicability.- 8 Petri Nets.- 8.1. Petri Net Theory.- 8.2. Petri Net Model of the Job Shop.- 8.3. Performance Evaluation.- 8.4. Optimal Control of the Job Shop.- 8.5. Model Applicability.- 9 Graph Theory.- 9.1. Basic Terminology and Notation.- 9.2. The Shortest Path Problem.- 9.3. The Maximal Flow Problem.- 9.4. Conclusion.- 10 Data Analysis.- 10.1. Definitions, Notation, and Basic Concepts.- 10.2. Main Component Analysis (MCA).- 10.3. Clustering Analysis.- 10.4. Conclusion.- 11 Mathematical Analysis of Automated Systems: Two Examples.- 11.1. Mathematical Modeling and Analysis.- 11.2. Transfer Line with Unreliable Machines and Transportation System.- 11.3. Closed-Loop Conveyor System.- 11.4. Conclusion.- References.