Produktbild: Mathematical Tools in Production Management

Mathematical Tools in Production Management

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

06.07.2012

Verlag

Springer Us

Seitenzahl

391

Maße (L/B/H)

22,9/15,2/2,3 cm

Gewicht

589 g

Auflage

Softcover reprint of the original 1st edition 1990

Sprache

Englisch

ISBN

978-1-4615-9560-1

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

06.07.2012

Verlag

Springer Us

Seitenzahl

391

Maße (L/B/H)

22,9/15,2/2,3 cm

Gewicht

589 g

Auflage

Softcover reprint of the original 1st edition 1990

Sprache

Englisch

ISBN

978-1-4615-9560-1

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Mathematical Tools in Production Management
  • 1 New Trends in Manufacturing Systems and Their Consequences.- 1.1. Main Changes in the Manufacturing Environment.- 1.1.1. The Market.- 1.1.2. Physical Resources.- 1.1.3. Human Resources.- 1.2. Toward Flexibility, Modularity, and Integration.- 1.3. Flexible Manufacturing Systems (FMSs).- 1.3.1. Definition of Flexible Manufacturing Systems.- 1.3.2. Limits of Flexible Manufacturing Systems.- 1.3.3. Some Examples of Flexible Manufacturing Systems.- 1.4. Evaluation Criteria of Modern Production Systems.- 1.4.1. The Financial Evaluation.- 1.4.2. Criteria for Technical Evaluation.- 1.5. Evaluation Tools for Modern Production Systems.- 1.5.1. The Steps of Evaluation.- 1.5.2. The Various Evaluation Approaches.- 1.5.3. Simulation of Production Systems.- 1.5.4. Mathematical Approaches for the Analysis of Production Systems.- 1.5.5. A Comparison between Simulation and Mathematical Models.- 1.6. Production System Life Cycle.- 2 Preliminary Design of Production Systems.- 2.1. Static Study.- 2.1.1. Choice of the Resources.- 2.1.2. Layout Design.- 2.2. Dynamic Study.- 2.2.1. Management System versus Integration Level.- 2.2.2. MRP II, JIT, and OPT.- 2.2.3. The Hierarchical Production Management System (HPMS).- 3 Linear Programming.- 3.1. Linear Programming Formulations.- 3.1.1. Formulations.- 3.1.2. Graphical Representation.- 3.1.3. Remarks.- 3.2. LP Problems in Production Management.- 3.2.1. The Transportation Problem.- 3.2.2. The Assignment Problem.- 3.2.3. Using Resources in a Job Shop.- 3.2.4. A Planning Problem.- 3.2.5. The Blending Problem.- 3.2.6. Cutting Problem.- 3.3. Conclusion.- 4 Dynamic Programming.- 4.1. Dynamic Programming Formulation.- 4.1.1. Optimality Principle.- 4.1.2. General DP Problem Formulation.- 4.1.3. DP Solving Processes.- 4.2. Dynamic Inventory Planning Problem.- 4.2.1. Monoproduct Problem.- 4.2.2. Multiproduct 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.- 5.1.1. Assumptions.- 5.1.2. Basis of the Branch-and-Bound Techniques.- 5.1.3. Upper Bound of the Optimal Value of the Objective Function.- 5.1.4. Lower Bounds of the Objective Function within Overlapping Subsets.- 5.1.5. Computation of the Overlapping Subsets.- 5.1.6. Branch Rules.- 5.1.7. Branch-and-Bound for Maximizing an Objective Function.- 5.2. Algorithms and Examples.- 5.2.1. Branch-and-Bound Algorithm for Solving 0–1 LP Problem.- 5.2.2. Branch-and-Bound Algorithm for Solving Integer LP Problem.- 5.2.3. Branch-and-Bound Algorithm for Solving the Traveling Salesman Problem.- 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.- 7.1.1. Basic Elements.- 7.1.2. Service Mechanism.- 7.1.3. Parameters of Queueing Models.- 7.2. Terminology and Notation.- 7.3. Elementary Queueing Models.- 7.3.1. Queue M/M/1.- 7.3.2. Queue M/M/1/K.- 7.3.3. Queue M/M/s.- 7.3.4. Concluding Remarks.- 7.4. Queueing Networks.- 7.4.1. Open Queueing Network (OQN).- 7.4.2. Closed Queueing Network (CQN).- 7.5. Model Applicability.- 7.5.1. Extensions of the QN Model.- 7.5.2. Scope of Applicability.- 7.5.3. Conclusion.- 8 Petri Nets.- 8.1. Petri Net Theory.- 8.1.1. Basic Terminology of Petri Nets.- 8.1.2. Fundamental Properties.- 8.1.3. Timed Petri Nets.- 8.1.4. Event Graphs.- 8.2. Petri Net Model of the Job Shop.- 8.2.1. Characteristics of the Model.- 8.2.2. Operative Part.- 8.2.3. Control Part.- 8.3. Performance Evaluation.- 8.3.1. Computation of the Cycle Time.- 8.3.2. Performance Improvement.- 8.3.3. Comparison with the CQN Model.- 8.4. Optimal Control of the Job Shop.- 8.4.1. Maximum Productivity.- 8.4.2. Minimizing the Number of Pallets.- 8.4.3. Optimal Machine Sequencings.- 8.5. Model Applicability.- 8.5.1. Scope of Applicability.- 8.5.2. Stochastic Petri Nets.- 8.5.3. Colored Petri Nets.- 9 Graph Theory.- 9.1. Basic Terminology and Notation.- 9.2. The Shortest Path Problem.- 9.2.1. Problem Formulation and Solution.- 9.2.2. PERT-CPM.- 9.2.3. Inventory Management Problem.- 9.3. The Maximal Flow Problem.- 9.3.1. Problem Definition.- 9.3.2. Applications.- 9.4. Conclusion.- 10 Data Analysis.- 10.1. Definitions, Notation, and Basic Concepts.- 10.1.1. Observations.- 10.1.2. Links between Characteristics.- 10.2. Main Component Analysis (MCA).- 10.2.1. Introduction to Main Component Analysis.- 10.2.2. Mathematical Approach.- 10.2.3. Use of MCA.- 10.3. Clustering Analysis.- 10.3.1. K-Mean Analysis.- 10.3.2. Hierarchical Clustering Analysis.- 10.3.3. Cross-Decomposition Methods.- 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.- 11.2.1. Stating the Problem.- 11.2.2. The Model.- 11.2.3. Productivity versus Number of Pallets.- 11.2.4. Evaluation.- 11.3. Closed-Loop Conveyor System.- 11.3.1. Stating the Problem.- 11.3.2. The Model.- 11.3.3. Evaluation.- 11.4. Conclusion.- References.